Answer:
Step-by-step explanation:
Trigonometry is the worst please someone answer this for me ... no links please
Answer: Approximately 22.62 degrees
===============================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(y) = 12/13
y = arccos(12/13)
y = 22.6198649
y = 22.62
Notes:
Arccosine is the same as inverse cosine. On your calculator there should be a button labeled \(\cos^{-1}\)Make sure your calculator is in degree modeThe decimal result for y, shown above, is approximate. I rounded to two decimal places to show the final answer. Round however you need to if your teacher instructs otherwise.If triangle has a side 16.5 side 29 and side x What is value of x
The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
Answer:
113.69700
Step-by-step explanation:
Answer:
$117.05
Step-by-step explanation:
5x12.25=61.25
4x16.45=65.8
61.25+65.8=127.05
127.05-10=117.05
What is the slope of the line through (-3,0) and (-1,-5)?
Answer:
-5/2 (I think)
Step-by-step explanation:
went up 5 and left 2 and from (-1,-5) and since i went left it is negative
can you please help i need it today
She should use the $10 off coupon because she saves more money.
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Rewrite the following polynomial in standard form. 2 - 9x⁴ - 1/4×
Answer:
-9x^4-1/4x+2
Step-by-step explanation:
To write any polynomial in standard form, we look at the degree of each term. Then, we order each term by degree, from largest to smallest, from left to right.
2 - 9x⁴ - 1/4×
-9x^4-1/4x+2
Select the system of equations that represents this situation. Use cto
represent the cost of a cup of coffee and w to represent the cost of a bottle
of water.
2 cups of coffee and 7 bottles of water cost $16.
3 cups of coffee and 8 bottles of water cost $19.
Answer:
2c + 7w = 16
3c + 8w = 19
Step-by-step explanation:
Just follow the two statements.
2 cups of coffee and 7 bottles of water cost $16.
2c + 7w = 16
3 cups of coffee and 8 bottles of water cost $19.
3c + 8w = 19
What is the range of 5,28,16,32,5,16,48,29,5,35
Answer:
The answer is 43.
48 − 5 = 43
Answer: 43
Step-by-step explanation:
48-5=43
Explain whether △ABC is congruent to △XYZ according to the angle side angle (ASA) congruence criteria.
Answer:
∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Step-by-step explanation:
The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.
In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.
Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
In October , Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than ounces, it was about lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October , ). Assume that battery life of the iPad Mini is uniformly distributed between and hours.a. Give a mathematical expression for the probability density function of battery life.A.B.C.The correct answer is:- Select your answer -b. What is the probability that the battery life for an iPad Mini will be hours or less (to 4 decimals)
Answer:
a. Probability density function for the battery life
\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)
b. P(x<11) = 0.7143
Step-by-step explanation:
The question is incomplete
In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.
a. Give a mathematical expression for the probability density function of battery life.
b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).
a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.
The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.
We can express that as:
\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)
The last is the probability density function for the battery life.
b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.
\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)
What type of property is 8x-8x-12=9x-8x-36
Answer:
The Subtraction Property of Equality.
Step-by-step explanation:
The Subtraction property of equality refers to balancing an equation by using the same mathematical operation on both sides.
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Hope I Helped, Have a Nice Day!
-Aadi x
Solve the formula Ax+ By = C for x
Ax+ By = C for x
Ax = C - By
x = (C - By)/A
Done.
HELP URGENT WILL GIVE BRAINLIEST
Answer:
A. parabola I believe that is the answer
la suma de tres números enteros consecutivos es -756. ¿Cuáles son los números?
Answer:
Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.
Step-by-step explanation:
I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
If Audrey wanted to solve this equation using the square root method, which answer shows the correct sequence of steps?
x2 + 5 = 41
a. Take the square root of both sides
b. Subtract 41 from both sides, then square root both sides.
c. Subtract 5 from both sides, then square root both sides.
d. Add 5 to both sides, then square root both sides
Answer:
C
Step-by-step explanation:
subtract 5 from both sides
Lines m and n are parallel. 50° k What is m angle 1? 0 35° O 50° O 55° O 75°
Angle 1 = 55 degrees ( corresponding angles are eqaul)
The points L(0, 5), M (-7, 1), N(-9, -5), and O(-2, -1) form quadrilateral
LMNO. Plot the points then click the "Graph Quadrilateral" button
Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).
The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.
Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.
After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.
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What is the measure of angle AED?
Answer:
Step by step explanation:
well this is simble you just do it
2) The mean mathematics SAT score in 2012 was 514 with a standard deviation of 117 ("Total group profile," 2012). Assume the mathematics SAT score is normally distributed. a. State the random variable. b. Find the probability that a person has a mathematics SAT score over 700. c. Find the probability that a person has a mathematics SAT score of less than 400. d. Find the probability that a person has a mathematics SAT score between a 500 and a 650. e. Find the mathematics SAT score that represents the top 1% of all scores.
The mathematics SAT score representing the top 1% of all scores is approximately 780.
a. The random variable in this case is the mathematics SAT score.
b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.
The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, X = 700, μ = 514, σ = 117.
Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).
To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.
The probability is approximately 0.0564 or 5.64%.
c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.
X = 400, μ = 514, and σ = 117.
The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).
Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.
d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.
Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),
and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).
We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.
Let's assume the probability is approximately 0.3967 or 39.67%.
e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.
This z-score is approximately 2.33.
We can then use the z-score formula to calculate the corresponding SAT score.
Rearranging the formula,
\(X = (z \times \sigma ) + \mu\),
where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.
Substituting the values,
\(X = (2.33 \times 117) + 514 = 779.61\).
Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.
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Students were surveyed to determine what they are most afraid of. The results are shown in the bar graph below.
What is the average number of students who are afraid of spiders and snakes?
A) 7
B) 9
C) 15
D) 30
The average number of students who are afraid of spiders and snakes is 15. (Option C).
How to get the Average?To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).
Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2
Given the information:
Number of students afraid of spiders = 18
Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)
Average = (18 + 12) / 2 = 30 / 2 = 15
So, the average number of students who are afraid of spiders and snakes is 15.
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PRACTICE IT Use the worked example above to help you solve this problem. parallel-plate capacitor has an area A = 2.50 X 10 m2 and plate separation d 1.40 * 10- m. (a) Find its capacitance_ 1.58e-12 (b) How much charge is on the positive plate if the capacitor Is connected to 3.00 battery? 12000 Your response differs significantly from the correct answer: Rework vour solution from the beginning and check each step carefully: € (c) Calculate the charge density on the positive plate, assuming the density is uniform: Clm (d) Calculate the magnitude of the electric field between the plates. 3.92 Your response differs significantly from the correct answer: Rework vour solution from the beginning and check each step carefully: Vlm
The capacitance is \(1.58*10^{-12} F\), the charge is 12000 e, the charge density is \(4.80*10^{7} C/m^{2}\), and the electric field is \(3.92*10^{6} N/C\).
Here's how you can solve the above problems:
(a) To find the capacitance of a parallel-plate capacitor, we use the formula:
C = ε0A/d
where ε0 is the vacuum permittivity constant \((8.85*10^{-12}F/m )\), A is the area of the plates, and d is the distance between the plates. Substituting the given values, we get:
C =\((8.85 * 10^{-12} F/m) (2.50* 10^{-4}m^{2} )/(1.40*10^{-7}m )\)
= \(1.58*10^{-12} F\)
(b) To find the amount of charge on the positive plate of the capacitor, we use the formula:
Q = CV
where Q is the charge, C is the capacitance, and V is the voltage across the capacitor. Substituting the values from (a) and the given voltage, we get:
Q = \((1.58*10^{-12}F )(3.00 V)\)
= \(4.74*10^{-11} C\)
= 12000 e
(c) To find the charge density on the positive plate, assuming the density is uniform, we divide the charge on the plate by the area of the plate:
ρ = Q/A = \((12000e)/(2.50*10^{-4}m^{2} )\)
= \(4.80*10^{7} C/m^{2}\)
(d) To find the magnitude of the electric field between the plates, we use the formula:
E = V/d
where E is the electric field, V is the voltage across the capacitor, and d is the distance between the plates. Substituting the given values, we get:
E = \((3.00 V)/(1.40*10^{-7}m )\)
= \(2.14*10^{-7} V/m\)
= \(3.92*10^{6} N/C\)
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Hello, can someone help me with this question?
Answer:
area = 77 m²
Step-by-step explanation:
area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²
HELP ASAP!!!
∆QRS contains the points: Q(-4, 2) R(5, -1) S(3,-7). If the triangle is reflected across the x-axis, what will R' be?
The image of point R(5, -1) across the x-axis is R'(5, 1).
What is reflection?Reflective symmetry is a type of symmetry in which one half of an object reflects the other half. It is also known as mirror symmetry. Human faces, for example, are identical on both the left and right sides. Most butterflies have identical wings on both sides, left and right.
When a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. In other words, if a point (x, y) is reflected across the x-axis, the new point (x, y') has the same x-coordinate but a y-coordinate of -y.
To find the image of point R across the x-axis, we need to change the sign of its y-coordinate. Therefore, the x-coordinate of R' will be the same as the x-coordinate of R, which is 5, but the y-coordinate will be -(-1), which simplifies to:
y' = 1
Therefore, the image of point R(5, -1) across the x-axis is R'(5, 1).
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When x > 0 and y > 0, what expression is equivalent to √180x^9y^16 in simplest form?
Answer:
\(6x^4y^8\sqrt{5x}\)
Step-by-step explanation:
\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)
\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)
\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)
\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)
\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)
\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)
\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)
\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)
\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)
\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)
\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)
\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)
\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)
\(6 \sqrt{5x}\;x^4\;y^8\)
\(\textsf{Rearrange:}\)
\(6x^4y^8\sqrt{5x}\)
\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)
\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)
A waitress received a $2.25 tip for serving a dinner that cost $15.
What percent of the cost of the dinner was the tip?
O 20%
O 15%
O 18%
O 12%
On a dinner of cost $2.25, you want to add 15% to the bill. As a result, your lunch will cost more money overall $2.59.
How to find the calculation?In order to perform a computation, first change the 15% to an actual value. To do this with percentages, just divide the percentage (in this case, 15%) by 100. In terms of a precise mathematical value, the colloquial word "15%" thus becomes 15% / 100% = 0.15.You should next calculate the 15% portion of your $2.25 meal's cost.Always multiply 0.15 by $2.25 to arrive at this figure.
0.15 x $2.25=$0.34.
Your planned tip is $0.34, so that is how much you will give.As a result, your lunch will cost more money overall (to write on your charge slip or other payment)$2.25 + $0.34 = $2.59.
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3 3/4 - 1 2/3 iready
Answer: 2 1/12
Step-by-step explanation:
What set of reflections and rotations would carry rectangle ABCD onto itself? (2 points)
B
C
A
D
-4
-3
-2
-1
2
Oa
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Oь
о с
Rotate 180°, reflect over the y-axis, reflect over the line y=x
Reflect over the y-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y=x
Answer: B
Step-by-step explanation: