PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
1 : 5
Step-by-step explanation:
3 students went to the soo
15 went to the aquarium
zoo: not the zoo
3: 15
Divide each by 3
3/3 : 15/3
1 : 5
ASAP I NEED HELP ON NO. 1
Answer:
B
Step-by-step explanation:
The other ones are false claims
Math is hard help me
Answer:
17.08
Step-by-step explanation:
Answer:
17.08
Step-by-step explanation:
Original Equation:
x^2 - 5 + 3.68 + 1.6y
We need to plug in the values.
3.2^2 - 5 + 3.68 + 1.6(5.1)
3.2 to the second power is 10.24
10.24 - 5 + 3.68 + 1.6(5.1)
Multiply 1.6 and 5.1 together.
10.24 - 5 + 3.68 + 8.16
Subtract 5 from 10.24
5.24 + 3.68 + 8.16
Add 5.24 and 3.68 together.
8.92 + 8.16
Add.
17.08
Hope I helped :)
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Find the limit. Use l'Hospital's Rule
lim θ→π/2
1 − sin(θ)/
1 + cos(6θ)
Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.
Taking the derivative of the numerator:
d/dθ [1 - sin(θ)] = -cos(θ)
Taking the derivative of the denominator:
d/dθ [1 + cos(6θ)] = -6 sin(6θ)
Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:
lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))
When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:
= 0 / (-6)
= 0
Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.
1a. Find 7/x _____+ C
1b. Evaluate the indefinite integral x/x6+7 dx
1c. Evaluate the indefinite integral. 6 dt 4 (t+7) + C
We can simplify this indefinite integral using the distributive property:6 dt /4 (t+7) + C= 3/2 ∫dt /(t+7) + C= 3/2 ln|t+7| + C . The indefinite integral of 6 dt /4 (t+7) is 3/2 ln|t+7| + C.
It states that the indefinite integral of 1/x is ln|x| + C (where C is the constant of integration).Thus, the indefinite integral of 7/x will be:7ln|x| + C Therefore, the blank is filled with "ln|x|".The final answer is 7ln|x| + C.1b. Evaluate the indefinite integral x/x6+7 dx To evaluate the indefinite integral of x/x6+7 dx, we can make use of the substitution method. We will let u = x6+7; then, du/dx = 6x5 and dx = (1/6x5)du.
Using these substitutions, we can express the indefinite integral of x/x6+7 dx in terms of u as follows:∫x/x6+7 dx = (1/6) ∫(1/u) du= (1/6) ln|u| + C= (1/6) ln|x6+7| + C Therefore, the indefinite integral of x/x6+7 dx is (1/6) ln|x6+7| + C.1c. Evaluate the indefinite integral. 6 dt 4 (t+7) + C We can simplify this indefinite integral using the distributive property:6 dt /4 (t+7) + C= 3/2 ∫dt /(t+7) + C= 3/2 ln|t+7| + C .Therefore, the indefinite integral of 6 dt /4 (t+7) is 3/2 ln|t+7| + C.
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As a race is finished the amount of elapsed time for the racer is recorded. what measurement scale is this?
The answer is Numeric.
What is a measuring scale?Items are weighed on a scale to determine their weight. In order to ensure that the components are utilized exactly as specified in the recipe, they are frequently used in cooking.The four common scales of measurement—nominal, ordinal, interval, and ratio—were created by psychologist Stanley Stevens.The type of measurement scale to be used for statistical measurement depends on the type of data being collected. There are various types of measurement scales. The nominal, ordinal, interval, and ratio scales are the four measurement scales that make up this set.What measurement scale is this?
There are mainly two types of variables
Numerical(quantitative): observations that can be measured in numerical form
Agin two types: ratio scale and interval scale
Categorical(qualitative ): named categories
Again two types: Ordinal or nominal
Her in the given an example,
Measured time of race have numerical observations
The measurement scale is Numeric.
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A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
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m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.
Answer:
The answer is m=-2 or m=7.
Step-by-step explanation:
The steps to solve this equation are below:
Factor: to get (m+2)(m−7)=0.
m+2=0 or m−7=0
m=−2 or m=7. So, your answer is m=-2 or m=7.
Answer:
m = 7
m = -2
Step-by-step explanation:
ax^2 + bx + c
1m^2 - 5m - 14
a = 1
b = -5
c = -14
-b ± √b^2 - 4ac/2a
-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)
5 ± √25 + 56/2
5 ± √81/2
5 ± 9/2
5 + 9/2
14/2 = 7
5 - 9/2
-4/2 = -2
Help me pls I’ll mark you as brain
It is a function because all the domain inputs are unique to their respective range outputs.
At what rate (with respect to time) is the angle between the ground and the ladder changing, if the top of the ladder is sliding down the wall at the rate of r inches per second, at the moment that the top of the ladder is h feet from the ground? (You're looking here for an equation in terms of h and .)
The rate of change of the angle between the ground and the ladder is given by dθ/dt = [rcos(θ)]/[-rsin(θ) + h], θ is the angle between the ladder and the ground, r is the rate at which the top of the ladder is sliding down the wall, and h is the distance from the top of the ladder to the ground.
Let's consider a right triangle formed by the ladder, the wall, and the ground, where the ladder is the hypotenuse of the triangle.
Let's call the angle between the ladder and the ground θ.
To find dθ/dt, the rate of change of θ with respect to time.
The Pythagorean theorem to relate the length of the ladder, the distance the top of the ladder is sliding down the wall, and the distance from the bottom of the ladder to the ground.
We have:
(ladder)² = (wall)² + (ground + sliding distance)²
Differentiating with respect to time, we get:
2ladder(dladder/dt) = 2wall(dwall/dt) + 2 × (ground + sliding distance) × (d(ground+sliding distance)/dt)
Simplifying, we get:
ladder × (dladder/dt) = wall × (dwall/dt) + (ground + sliding distance) × (d(ground+sliding distance)/dt)
Now, we can use similar triangles to relate the angle θ to the lengths of the ladder, the wall, and the ground. Specifically, we have:
tan(θ) = wall/ground
Differentiating with respect to time, we get:
(sec)²(θ) × (dθ/dt) = (dwall/dt) ×ground/ (ground)²
Substituting wall = laddercos(θ) and ground
= laddersin(θ), we get:
(sec)²(θ) ×(dθ/dt) = (dladder/dt)cos(θ) - (laddersin(θ) × (dθ/dt))/(ground)
Simplifying and solving for dθ/dt, we get:
dθ/dt = [rcos(θ)]/[-rsin(θ) + h]
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Jay loves to eat apple but not the banana while John loves to eat mango and the banana. Kim loves to eat mango but not the apple and Jim loves to eat banana but not the mango. If each child loves to eat two of the three fruits, which one has the same preference as John?
John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.
John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.
Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.
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how to pass a multiple choice math test without studying?
Answer:
Imposible!
Step-by-step explanation:
When it comes to passing a multiple choice math test without studying, it is important to understand that studying and preparation are key factors in achieving success. However, if you find yourself in a situation where you haven't had the opportunity to study, there are still some strategies you can employ to increase your chances of passing the test. Familiarize yourself with the format of multiple choice questions, read the questions carefully, eliminate obviously incorrect options, use the process of elimination, make educated guesses, and manage your time effectively. While these strategies may improve your chances of passing the test, it is important to note that studying and preparation are essential for long-term success in mathematics.
When it comes to passing a multiple choice math test without studying, it is important to understand that studying and preparation are key factors in achieving success. However, if you find yourself in a situation where you haven't had the opportunity to study, there are still some strategies you can employ to increase your chances of passing the test.
Familiarize yourself with the format of multiple choice questions: Understanding how multiple choice questions are structured can help you approach them more effectively. Pay attention to the number of options, the way the questions are phrased, and any patterns you notice.Read the questions carefully and eliminate obviously incorrect options: Take your time to read each question carefully and eliminate any options that are clearly incorrect. This can help you narrow down your choices and increase your chances of selecting the correct answer.Use the process of elimination to narrow down your choices: If you're unsure about the correct answer, use the process of elimination. Cross out options that you know are incorrect, which will increase your chances of selecting the right answer.Make educated guesses based on your understanding of the topic: Even without studying, you may have some prior knowledge or understanding of the topic. Use this knowledge to make educated guesses when you're unsure about the correct answer.Manage your time effectively: Multiple choice tests are often timed, so it's important to manage your time effectively. Pace yourself and ensure you have enough time to answer all the questions.While these strategies may improve your chances of passing the test, it is important to note that studying and preparation are essential for long-term success in mathematics.
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6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
What’s 2(2a+ 3b - 4) if a=2 and b=3
Answer:
2 ( 2a + 3b - 4)
Putting the value of a= 2 and b = 3 in the equation
2( 2(2) + 3(3) -4)
2 (4 + 9 -4)
2( 4 -4 + 9)
2 (0 + 9)
2 (9)
2 × 9
18
percent of change pls help
Answer:
90%
Step-by-step explanation:
She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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It's the first time we have had to work on this unit in geometry and I am really confused. Can someone help me out?
Given parallelogram ACEF with a perimeter of 198, BF=6, DF=12, find the area of ACEF.
The area of parallelogram ACEF for the given perimeter 198 is equal to 486 square units.
For parallelogram ACEF,
Perimeter of the parallelogram ACEF = 198 units.
To find the area of parallelogram ACEF,
we need to know the base and height of the parallelogram.
The perimeter and the lengths of two adjacent sides BF and DF.
Let us denote the length of BF as b and the length of DF as d.
The perimeter of a parallelogram is ,
Perimeter = 2(Base + Side)
198 = 2(Base + b + d) ...(1)
Also BF = 6 and DF = 12,
so substitute these values into equation (1),
⇒198 = 2(Base + 6 + 12)
⇒198 = 2(Base + 18)
Now, solve for Base + 18,
⇒(Base + 18) = 198 / 2
⇒Base + 18 = 99
⇒Base = 99 - 18
⇒Base = 81
Now that the base length = 81,
Find the height of the parallelogram.
The height is the perpendicular distance between the base and the opposite side.
Since opposite sides of a parallelogram are parallel and congruent, the height is equal to the distance between BF and DE.
The distance between BF and DE is,
Height = DE - BF
⇒Height = d - b
⇒Height = 12 - 6
⇒Height = 6
Finally, calculate the area of the parallelogram using the formula,
Area = Base × Height
⇒ Area = 81 × 6
⇒ Area = 486
Therefore, the area of parallelogram ACEF is 486 square units.
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Hiii can somebody plzzz help me with this it’s due in a few hours ?
Answer:
pagal questions ha ya bakvas questions paper ma dhikaiyo with w with etc and my video knnnnnbhej with will wtwwwwtw with e
Which expression is equivalent to startfraction 5 y cubed over (5 y) superscript negative 2 baseline endfraction?
The expression that is equivalent to the given expression is 125y⁵.
The given expression is:
\(\frac{5y^{3} }{(5y)^{-2} }\)
What are some important power rules applicable to the given problem?Some important power rules applicable to this problem are:
1)\((ab)^m=a^mb^m\)
2)\(\frac{1}{a^{-n} } =a^n\)
So, \(\frac{5y^{3} }{(5y)^{-2} } =\frac{5y^{3} }{5^{-2} y^{-2} }\).....by power rule (1)
\(=(\frac{5}{5^{-2} } )(\frac{y^3}{y^{-2} })\)
\(=5^3y^5\).....by power rule(2)
\(=125y^5\)
Hence, the expression that is equivalent to the given expression is 125y⁵.
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please help!!!!!!!!
Answer:
This answer should be 16
Answer:
i think here the answer is 16
N>4000 people want to drive into Central London. They can do it Before 7 am or After 7 am. The utility of entering Before 7am is u (Before) =10 for every person. The baseline utility of entering After 7 am is 50 (higher than 10 because you can sleep more), but you are also affected by the congestion: u( After )=50−0.01∗N
A
, where N
A
is the number of people that is entering After 7 am. (a) The sum of everyone's utilities is highest when 2,000 people go After and the rest go Before (no need to show this is the case). Is this a Nash equilibrium? Why? (b) What is the Nash equilibrium number of After 7am drivers? (c) Show that a congestion charge of 20 for drivers going After can solve the discrepancy between a) and b) (Wikipedia on the London congestion charge)
(a) The sum of everyone's utilities is highest when 2,000 people go After and the rest go Before is not a Nash Equilibrium beacuse it doesn’t meet the criteria for Nash Equilibrium.
(b) The Nash equilibrium number of After 7am drivers is 4000.
(c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.
a) No, it is not a Nash Equilibrium.
Nash Equilibrium is a set of strategies that make sure that no player can improve their own utility by unilaterally changing their strategy.
Therefore, let’s say that all players choose to follow the strategy of entering After 7 am, given that N>4000 people want to drive into Central London. In this scenario, everyone’s utility would be as follows:
u(After) = 50 – 0.01N
However, if a single person changes his strategy and chooses to enter Before 7 am instead, his utility would be 10 instead of the previous 0 (as he is still affected by the congestion even if he enters after).
Thus, the new utility for the person who switched would be greater than what they would have gotten before.
Therefore, this scenario doesn’t meet the criteria for Nash Equilibrium.
b) The Nash equilibrium number of drivers entering after 7 am can be found by the following formula:
50-0.01N=10
40=0.01N
N=4000
which means 4000 people should choose to go Before 7 am, and the rest should go After 7 am.
c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b.
Let’s say the congestion charge is C. In this case, the utility of entering After 7 am would be
u(After)
=30-0.01(N-A)+20
= 50-0.01N+20-0.01A-20 50-0.01N-0.01A-20 30-0.01N-0.01A
Thus, the Nash Equilibrium number of drivers entering after 7 am would be as follows:
30-0.01N-0.01A=10
20=0.01A
A=2000
N = 4000+2000
N = 6000
Therefore, a congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.
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Cheryl wants to have $2000 in spending money to take on a trip to Niagara Falls in three years. How much must she deposit now in a savings account that pays 4 percent interest compounded monthly to have the money she needs in three years? (PV) #7 If Shazaad wants to save $40000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, how much money does he need to save each month? (PMT)
To have $2000 in spending money in three years, Cheryl needs to deposit $1,728.68 and to save $40,000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, Shazaad needs to save approximately $661.51 per month.
To have $2000 in spending money in three years, Cheryl needs to deposit $1,728.68 now in a savings account that pays 4 percent interest compounded monthly. To calculate the required deposit amount, we use the formula for present value (PV). In this case, the future value (FV) is $2000, the interest rate (r) is 4 percent, and the time period (t) is three years. Since the interest is compounded monthly, we divide the interest rate by 12 to get the monthly interest rate (i). Using the formula PV = FV / (1 + i)^nt, where n represents the number of compounding periods per year, we substitute the values and solve for PV. The result is $1,728.68, which is the amount Cheryl needs to deposit now.
For the second question, to save $40,000 for a down payment on a home in five years, assuming an interest rate of 4.5 percent compounded quarterly, Shazaad needs to save approximately $661.51 per month.
To calculate the monthly savings amount (PMT), we use the formula for the future value of an ordinary annuity. In this case, the future value (FV) is $40,000, the interest rate (r) is 4.5 percent, the time period (t) is five years, and the compounding is done quarterly. Using the formula PMT = FV / [(1 + i)^nt - 1] * (1 + i) / i, where n represents the number of compounding periods per year and i represents the interest rate per compounding period, we substitute the values and solve for PMT. The result is approximately $661.51, which represents the monthly savings amount needed for Shazaad to accumulate $40,000 in five years.
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the least squares method for determining the best fit minimizes
The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.
The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.
The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).
The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.
In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.
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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.
In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.
Mathematically, the least squares method minimizes the objective function:
E = Σ(yᵢ - ŷᵢ)²
where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.
By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.
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67.77759 rounded to nearest meter
Answer:
68
Step-by-step explanation:
0.7 rounds to 1 so add 1 to 67 to get 68
A study has a sample size of 5, a standard deviation of 10.4, and a sample standard deviation of 11.6. What is most nearly the variance? (A) 46 (B) 52 (C) 110 (D) 130
Answer:I'm pretty sure the answer is C.110!
The most nearly correct answer for the variance is (D) 130.
How to solve for the varianceTo find the variance, we can use the relationship between the standard deviation and the variance:
\(Variance = Standard Deviation^2\)
Given that the sample standard deviation is 11.6, we can square it to find the variance:
Variance ≈\((11.6)^2\)
≈ 134.56
Now, let's examine the answer choices provided:
(A) 46: This is not close to 134.56.
(B) 52: This is not close to 134.56.
(C) 110: This is not close to 134.56.
(D) 130: This is the closest answer to 134.56.
Therefore, the most nearly correct answer for the variance is (D) 130.
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3. Solve your equation to find the distance Jane’s trainer bikes. Show your work.
4. How much farther does Jane travel than her trainer?
(my previous answers so this will make sense)
1. The total distance jane bikes and runs is 28 miles.
2. Janes trainer bikes a distance of 20 miles.
Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.
What are arithmetic operations?
By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.
3. Using pythagoras theorem, we get the equation as D² = 12² + 16².
⇒D² = 144 + 256
⇒D² = 400
⇒D = √400
⇒D = 20
4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.
So, the difference is 28-20= 8 miles
Hence, Jane travels 8 miles much farther than her trainer.
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p.557(3-6 all): Similar Triangles and Indirect Measurement
I need helppp :/ please
Answer:
3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft
Step-by-step explanation:
3. use proportions:
\(\frac{h}{50} = \frac{50}{12.5}\)
50(50) = 12.5h
h = 200ft
4.
\(\frac{h}{6} =\frac{7}{2}\)
6(7) = 2h
h = 21ft
5.
\(\frac{25}{8} =\frac{x}{12}\)
25(12) = 8x
x = 37.5m
6.
\(\frac{9}{15} =\frac{h}{7}\)
9(7) = 15h
h = 4.2ft
Two vertices of a right triangle have coordinates (5, 12) and (11, 12). The segment that connects these points is a leg of the triangle.
Which coordinate pair for the third vertex would create a right triangle?
Responses
(19, 12)
, left parenthesis 19 comma 12 right parenthesis,
(8, 20)
, left parenthesis 8 comma 20 right parenthesis,
(8, 12)
, left parenthesis 8 comma 12 right parenthesis,
(11, 4)
, left parenthesis 11 comma 4 right parenthesis,
The answer is (A) (11, 4).
Step-by-step explanation: Given that two vertices of a right-angled triangle are A(5, 12) and B(11, 12).
We can plot the given points on the co-ordinate plane as shown in the attached figure.
We will then see that only the point C(11, 4) will lie exactly below the point B(11, 12). Also, the segment AB and BC are the legs of the triangle, AC is the hypotenuse.
The lengths of the three sides are
\(AB = 11 - 5 = 6\\\\BC = 12 - 4 = 8\\\\AC = \sqrt{AB^{2} +BC^{2} } = \sqrt{6x^{2}+8^{2} } = \sqrt{100} = 10\)
Thus, the correct option is (A).
If x is an integer, which is the solution set of
-1 ≤ x < 2?
A.
C.
{0,1}
{0, 1,2}
B.
D.
{-1,0, 1, 2}
{-1,0, 1}
Answer:
D.
Step-by-step explanation:
{-1,0,1}
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Ron's paycheck this week was $17.63 less than his paycheck last week. His paycheck this week was $103.98. How much was Ron's paycheck last week? Translate the situation into an equation, but do not simplify or solve. (Let p represent Ron's paycheck from last week.)
Answer:
$86.35
Step-by-step explanation:
103.98
17.63
86.35
Answer:
p=103.98 + 17.63
Step-by-step explanation:
In order to find last weeks pay we must take this weeks pay and add the money that was cut from his check.