Area of scalene triangle can be found using formula for area of triangle,is given by half product of base and height.Area of triangle ABC = Area of triangle AOB - Area of triangle BOC = 10 cm² - 12.20 cm² = -2.20 cm².
a) To find the area of triangle AOB, we can use the formula: Area = (1/2) * base * height. Substituting the values, we get: Area = (1/2) * 10 cm * 2 cm = 10 cm².
b) Now, to find the area of the scalene triangle ABC, we can subtract the area of triangle AOB from the area of triangle ABC. Given that AB = 12.20 cm and BC = 5 cm, we can find the area of triangle ABC by subtracting the area of triangle AOB from the area of triangle ABC.
Area of triangle ABC = Area of triangle AOB - Area of triangle BOC = 10 cm² - 12.20 cm² = -2.20 cm². Since the resulting area is negative, it indicates that there might be an error in the given values or construction of the triangle. Please double-check the measurements and information provided to ensure accurate calculations.
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how many 64kg to lbs
64 kilograms is equal to approximately 141 pounds. Kilograms and pounds are units of measurement for weight, with kilograms being part of the metric system and pounds part of the imperial system.
64 kilograms is a unit of weight that is part of the metric system. This unit of measurement is widely used around the world, particularly in scientific and medical applications. To convert kilograms to pounds, you can multiply the number of kilograms by 2.20462 which is conversion factor.
In this case, 64 kilograms is equal to approximately 141 pounds. Pounds, on the other hand, are part of the imperial system of units and are widely used in countries such as the United States. When converting between units of measurement, it is important to be precise and accurate to ensure that you obtain accurate results.
In many cases, you can use conversion tools such as calculators or charts to convert between units of measurement. However, it is also important to understand the basic conversion formulas so that you can perform the calculations manually if necessary.
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Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?
When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.
Calculation of the number of elk:Since the population is 6,750.
The random sample is 50.
So here be like
\(6750\) ÷ \(50\) × \(9\)
= 1,215
hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.
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Some cats have bobtails, which are short, stumpy tails that result from an inherited, recessive genotype (tt). Normal length tails are dominant in cats (TT, Tt). When a cat with a bobtail is crossed with a cat that is heterozygous for normal tail length, what is the likelihood that the offspring will have a bobtail?
75%
50%
25%
0%
I will give brainliest
Answer:
50%
Step-by-step explanation:
took the test and got it right
Answer:
Im sorry my post was removed, darn mods. it is 50%!
Step-by-step explanation:
I took the test a while ago and searched the same question, when i finished the quiz it said i was right! :)
HELP ME PLEASE SHOW THE WORK CORRECT ANSWER GETS BRAINLIEST
The area of the polygon composed of rectangles and triangle is 405.5 ft²
What is area?Area is the amount of space occupied by a two dimensional shape or object.
For the first rectangle:
length = 9 ft, width = 5 ft
Area of first rectangle = length * width = 9 ft * 5 ft = 45 ft²
For the second rectangle:
Length = 13 ft, width = (13 + 5) = 18 ft
Area of second rectangle = 13 ft * 18 ft = 234 ft²
For the triangle:
Base = (13 + 9) = 22 ft, height = 29.5 - 13 - 5 = 11.5 ft
Area of triangle = (1/2) * base * height = 0.5 * 22 * 11.5 = 126.5 ft²
Area of polygon = 45 + 234 + 126.5 = 405.5 ft²
The area of the polygon is 405.5 ft²
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Write 23/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
2.55555556
Step-by-step explanation:
Solve the inequality 9x + 5 < 77.
Answer:
x=8
Step-by-step explanation:
If X=8 then 9(8)+5=77
9x8= 72
72+5=77
77=77
Hope this helps
A ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. the height of the ball as a function of time can be modeled by the function below. how long will it take for the ball to hit the ground?
The time it will take for the ball to hit the ground can be found by solving the quadratic equation \(-16t^2 + 32t + 128 = 0\). One of the solutions will represent the time when the ball hits the ground.
The height of the ball as a function of time can be represented by an equation that considers the initial height, initial speed, and the effects of gravity. The equation takes the form of h(t) = \(-16t^2 + v0t + h0\), where h(t) represents the height at time t, v0 is the initial speed, h0 is the initial height, and -16t^2 represents the effect of gravity.
In this case, the initial height of the ball is 128 feet, the initial speed is 32 feet per second, and we want to find the time it takes for the ball to hit the ground (when the height is 0). We can set h(t) = 0 and solve the equation \(-16t^2 + 32t + 128 = 0\) for t.
By solving the quadratic equation, we can find the two possible values for t. One of the values will represent the time when the ball was thrown up, and the other value will represent the time when the ball hits the ground. We discard the negative value and consider the positive value as the time it takes for the ball to hit the ground.
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Answer:
It will take 4 seconds for the ball to hit the ground.
Step-by-step explanation:
I want to uderstand how to solve this
polynomial ƒ(X) = X³+X²-36 that arose in the castle problem Consider the in Chapter 2. (i) Show that 3 is a root of f(X)and find the other two roots as roots of the quadratic f(X)/(X − 3). (ii) U
3 is one of the roots of the given polynomial. The other 2 roots being -2 + 2i√2 and -2 - 2i√2.
We need to find its roots. Step 1: Find out if 3 is a root of ƒ(X). If 3 is a root of ƒ(X), then ƒ(3) = 0. Let's see if 3 is a root of ƒ(X). ƒ(3) = (3)³ + (3)² - 36= 27 + 9 - 36= 0. Therefore, 3 is a root of ƒ(X).
Step 2: Find the other two roots. Let us perform the synthetic division with the root (X - 3) on the polynomial ƒ(X). By synthetic division, we get the quotient of ƒ(X)/(X - 3) to be X² + 4X + 12, which is a quadratic equation. We can solve this using the quadratic formula. The quadratic formula is, X = [-b ± sqrt(b² - 4ac)] / 2a. Let's substitute the values for a, b, and c from the quadratic equation we got above, which is, X² + 4X + 12= 0 a = 1, b = 4 and c = 12. Using the quadratic formula, X = [-4 ± sqrt(4² - 4(1)(12))] / 2*1 = [-4 ± sqrt(16 - 48)] / 2= [-4 ± sqrt(-32)] / 2 = -2 ± 2i√2.
Thus, the roots of the polynomial ƒ(X) = X³+X²-36 are:3, -2 + 2i√2 and -2 - 2i√2.
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Lucy runs a day care center. There are 2 four-year-olds and 12 children of other ages.
What is the probability that a randomly selected child will be a four-year-old?
Write your answer as a fraction or whole number.
P(four-year-old) =
Submit
The probability of selecting a four-year-old child at random is 1/7.
Find the probability of a randomly selected child of four-year-old.There are 2 four-year-olds and 12 children in total, so there are 2+12=14 children in Lucy's daycare center.
The probability of selecting a four-year-old child at random is the number of four-year-olds divided by the total number of children:
P(four-year-old) = 2/14
Simplifying this fraction, we get:
P(four-year-old) = 1/7
Therefore, the probability of selecting a four-year-old child at random is 1/7.
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Noise in a quiet room is 500 times as intense as the threshold of sound. What is the decibel measurement for the quiet room? 20 decibels 28 decibels 200 decibels 280 decibels.
The intensity and the threshold of the noise are illustrations of rates
The decibel measurement of a quiet room is 28
How to determine the decibel measurementFrom the graph that completes the question, we have the following point
(Decibel, Intense) = (28,500)
This means that, the decibel measurement is 28
Hence, the decibel measurement of a quiet room is 28
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Answer:
B or 28
Step-by-step explanation:
edge 22
I need help I don’t understand this help can y’all help me pls
refer to the data of exercise 6.11. a potential criticism of analyzing these data as if they were two independent samples is that the measurements taken in 1996 were taken at the same sites as the measurements taken in 1982. thus, there is the possibility that there will be a strong positive correlation between the pair of observations at each site. a. plot the pairs of observations in a scatterplot with the 1982 values on the horizontal axis and the 1996 values on the vertical axis. does there appear to be a positive correlation between the pairs of measurements? estimate the correlation between the pairs of observations?
The size of the decrease in mean PCB content from 1982 to 1996, based on the study, is estimated to be approximately 45.5, with a 95% confidence interval of (38.4, 52.6).
To calculate the confidence interval, we multiply the standard error by the appropriate critical value from the t-distribution. Since we do not know the exact sample size, we will use a conservative estimate and assume a sample size of 10. This allows us to use the t-distribution with n-1 degrees of freedom.
Using a t-distribution table or statistical software, the critical value for a 95% confidence interval with 10 degrees of freedom is approximately 2.228.
Confidence Interval = Mean Difference ± (Critical Value × Standard Error)
= 45.5 ± (2.228 × 3.2)
= 45.5 ± 7.12
Therefore, the 95% confidence interval for the size of the decrease in mean PCB content from 1982 to 1996 is approximately (38.4, 52.6).
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Complete Question:
PCBs have been in use since 1929, mainly in the electrical industry, but it was not until the 1960s that they were found to be a major environmental contaminant. In the paper “The ratio ofDDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data” [appearing in the Journal of Great Lakes Research 24 (1): 12–31, 1998], researchers report on the following study. Thirteen study sites from the five Great Lakes were selected. At each site, 9 to 13 herring gull eggs were collected randomly each year for several years. Following collection, the PCB content was determined. The mean PCB content at each site is reported in the following table for the years 1982 and 1996.
Site 1982 1996 Differences
1 61.48 13.99 47.49
2 64.47 18.26 46.21
3 45.5 11.28 34.22
4 59.7 10.02 49.68
5 58.81 21 37.81
6 75.86 17.36 58.5
Estimate the size of the decrease in mean PCB content from 1982 to 1996, using a 95% confidence interval.
Find the volume 10 2/5cm 3cm 8 1/3cm
Answer:
260
Step-by-step explanation:
Multiply all of the numbers together
what does 134 x-7 equal?
Answer:
What does 134 x-7 equal?
134 x -7
= -938Step-by-step explanation:
You're welcome.
If you buy three ice creams and the total is $26.94, how much does each ice cream cost?
Answer:
$8.98
Step-by-step explanation:
Divide 26.94 by 3
Answer: $8.98
Step-by-step explanation:
26.96/3= 8.98
The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound, and hot dogs, which cost $2 per pound. The meat budget you are given totals $600 dollars. The inequality 3x + 2y ≤ 600 represents the possible combinations of pounds of hamburgers (x) and hot dogs (y) you can buy.
Answer: 7
Step-by-step explanation:
7
Answer:
Whatever point that is in the shaded region.
Step-by-step explanation:
Hope this helps!
If not I am sorry.
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
harold must write a 2000 word composition for a history assignment of 480 words fill 3 pages how many pages will harlod have to write to complete the assingment
Please help! I will mark as brainliest. <3
Answer:
\(y = \frac{5}{2}x +\frac{1}{2}\)
Step-by-step explanation:
in this graph we know two points whose values are certain which are, (1,3) and (-1,-2) we can find the equation of this line from these two points.
first we need to find slop which is m.
y2-y1/x2-x1 = m
y2 = 3( highest y value will always be y2) and y1 = -2
x2 = 1( counterpart of y2) and x1 = -1
3--2/1--1 = 5/2 ( -- is +)
so m = 5/2
now we can find the equation of line.
choose any of the two points from above to find the equation. ill choose (1,3)
y-3/x-1 = 5/2
\(y-3 = \frac{5}{2} (x-1)\\\\y = \frac{5}{2}x -\frac{5}{2} +3\\\\y = \frac{5}{2}x +\frac{1}{2}\)
PLEASE HELP WILL GIVE BRAINLIEST AND I WILL LOVE YOU FOREVER
Answer:
Step-by-step explanation:
determine the value of such that the matrix is the augmented matrix of a linear system with infinitely many solutions.
The value of such that the matrix is the augmented matrix of a linear system with The system has an infinite number of solutions if $k=-1$.
To find out the value of $k$ that results in the matrix being the augmented matrix of a linear system with infinitely many solutions, you need to reduce the matrix to row echelon form and check the conditions. If you get a row of all zeroes but the last entry in that row is not zero, then there is no solution. If you get a row of all zeroes including the last entry in that row, then there are infinitely many solutions. Therefore, the value of $k$ that leads to the augmented matrix of a linear system with infinitely many solutions is $k=-1$.
A system of linear equations has an infinite number of solutions if and only if its augmented matrix, after being transformed to row-echelon form, has at least one free variable column.
The matrix in question is given as:
\($$\begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix}$$\)
To find the value of $k$, we need to convert it to a row-echelon form.
\($$ \begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix} \overset{R2\rightarrow R2+\frac{3}{2}R1}{\longrightarrow} \begin{bmatrix}2 & -2 & 4 \\ 0 & 0 & 0 \\ 1 & -1 & k\end{bmatrix} $$\)
Notice that the second row of the matrix is all zeros, so the system either has no solution or has an infinite number of solutions. Therefore, we need to determine the value of $k$ to figure out which of the two cases apply. Since the third row is independent, we can choose to work with it only.
\($$1a - 1b = c \rightarrow c = a - b$$\)
We can also write it as a linear combination of $a$ and $b$:
\($$\begin{aligned} c &= a - b \\ &= a(1) + b(-1) \end{aligned}$$\)
Therefore, it follows that if $k$ equals -1, we can rewrite the last row as a linear combination of the first two rows.
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Susan paid $240. to have her house decorated. The materials
used to decorate the house cost $115, and service was
charged at $5 an hour. How many hours was the house
worked on?
hours :
=
Answer:
2 hours
Step-by-step explanation:
$115 + $5 = 120
120 x 2 = 240
Answer:
25 hours
step-by-step explanation:
240-115=125/5=25 pog
-1/5 divided by 20
Help please
Answer:
-0.01
Step-by-step explanation:
Calculate each quotient
1. 2/5 ÷ 3 1/10
2. 4 1/3 ÷ 4/7
3. 3 1/6 ÷ 9/10
4. 5/8 ÷ 2 7/12
Please answer all of these questions.
Answer:
1.2/5÷3 1/10=
2/5÷31/10=
2/5×10/31=
20/155=
4/31
2.4 1/3÷4/7=
13/1÷4/7=
13/1×7/4=
91/4 then simplify it
3. 3 1/6÷9/10=
18/6÷9/10=
18/6×10/9=
180/54 then simplify it
4.5/8÷2 7/12=
5/8÷31/12=
5/8×12/31=
60/248=
15/62
Am done please mark me the brainliest and give me more points
Ravi works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Ravi worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
The expression for his total earnings can be derived by multiplying the number of tutoring hours by the tutoring rate and adding it to the product of the number of waiter hours and the waiter rate.
Let's assume the hourly rate for Ravi's tutoring job is "t" dollars and the hourly rate for his waiter job is "w" dollars.
Since Ravi worked as a tutor for "x" hours this month, he earned a total of x * t dollars from his tutoring job.
Similarly, as he worked as a waiter for 1 hour each day this month, he earned a total of 1 * w dollars from his waiter job.
To calculate the combined total dollar amount he earned this month, we can express it as x * t + 1 * w, which represents the earnings from his tutoring job plus the earnings from his waiter job.
This expression provides the total dollar amount Ravi earned based on the given hourly rates and the number of tutoring hours.
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What is 8 to the square root of 3 time square root of 3
Answer:
531441
Step-by-step explanation:
The square root of 3 times 3 ^8
Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
X/6 -5 = -2 please help ASAP
Answer: x = 18
Step-by-step explanation:
rewrite the following integral using the indicated order of integration and then evaluate the resulting integral. ∫01∫01−x2∫01−x2 dy dz dx to dz dy dx
The integral, when rewritten using the indicated order of integration, is ∫₀¹ ∫₀¹-y² ∫₀¹-x² dz dy dx, and the value of the resulting integral is 2/3.
To rewrite the given integral in the indicated order of integration, we integrate with respect to 'z' first, then 'y', and finally 'x'. The given integral is triple nested, and each integral has specific limits.
integrate with respect to 'z':
∫₀¹ ∫₀¹-y² (z ∣₀¹-x²) dy dx
∫₀¹ ∫₀¹-y² (1-x²) dy dx
integrate with respect to 'y':
∫₀¹ (y ∣₀¹) (1-x²) dx
∫₀¹ (1-x²) dx
(x - x³/3) ∣₀¹
evaluate the result:
(1-1/3) - (0-0) = 2/3
Thus, the integral rewritten and evaluated using the indicated order of integration is 2/3. However, this is not the final answer as we still need to perform one more integration with respect to 'y':
∫₀¹ (2/3) dy = (2/3) * (y ∣₀¹) = 2/3 * (1 - 0) = 2/3
Thus, the final result after evaluating all integrals is 2/3 * 1 = 2/3.
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Please help ASAP it’s all I ask for to help me. It’s supposed to be turned in tomorrow. Please help.
Answer:
you would need to find the price before tax of the game. (B)
Answer:
V= video game $
.50V=.75
Now divide,
.75 divided by .05=15= V
So the video game wquals $15.
Now Check your answer
15 times (x) .05= .75
There you go :)
Step-by-step explanation: