Mathematics College

Find the values of x and y. Write your answers in simplest form.

Answers

Answer 1

Answer:

x = 5√2

y = 15

Step-by-step explanation:

By applying sine rule in the given right triangle,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{y}{10\sqrt{2}}[/tex]

y = [tex]\frac{\sqrt{3} \times 10\sqrt{2} }{2}[/tex]

y = 15

Similarly, by applying cosine rule in the given triangle,

cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{x}{10\sqrt{2}}[/tex]

x = 5√2

Related Questions

A sample of 100 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.239 and the equation of the regression line is y = 18.5 + 0.890x, where x represents height. The mean of the 100 heights is 62.9 in and the mean of the 100 pulse rates is 73.4 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of α=0.01 The best predicted pulse rate of a woman who is 65 in tall is_______beats per minute.. (Round to two decimal places as needed.) Answer

Answers

Answer:

54.07 inches

Step-by-step explanation:

Given the regression equation :

y = 18.5 + 0.890x

y = pulse rate in beats per minute

x = height

The best predicted pulse rate of a woman who is 65 inches

Put y = 65 in the regression equation :

65 = 18.5 + 0.890x

65 - 18.5 = 0.890x

46.5 = 0.890x

Divide both sides by 0.890

46.5 / 0.890 = 0.890x / 0.890

54.0697 = x

The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches

Consider the following hypothetical economy:

Y I G (X-IM)

2,500 360 200 -100

3,000 360 200 -100

3,500 360 200 -100

4,000 360 200 -100

4,500 360 200 -100

Taxes are 200 for all levels of GDP, and consumption function for this economy is given by: C= 400 +.8DI

a- Find the equilibrium level of GDP numerically and graphically. (Graph paper can be downloaded from “Course Materials” page of Bb.)

b- At equilibrium level of GDP how much is being saved?

c- If potential GDP for this economy is 4,000 what is the magnitude of inflationary (recessionary) gap?

d- If government increases G by 100, what will be the new equilibrium level of GDP?

e- If the government instead cuts the taxes by 100, what will be the new equilibrium level of GDP?

f- Show the impact of parts d and e in your graph.

Answers

Answer:

Step-by-step explanation:

Help me pls I really need this answer

Answers

Answer:

Step-by-step explanation:

you need to find the absolute value

help me an plz dont put links while answering question

Answers

Answer:

i say it is C if not then B

Step-by-step explanation:

Shandra has a bag that contains orange chews, cherry chews, and watermelon chews.
She performs an experiment. Shandra randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Shandra performs the experiment
78 times. The results are shown below:
An orange chew was selected 42 times.
A cherry chew was selected 14 times.
A watermelon chew was selected 22 times.
Based on these results, express the probability that the next chew Shandra removes
from the bag will be watermelon chew as a percent to the nearest whole number.

Answers

Answer:28%

Step-by-step explanation:

Points R(-6,-5), S(-2,-5), and T(-2,n) are plotted in the coordinate plane. The distance between points R and S is half of the distance between points S and T

Answers

Answer:

graph

Step-by-step explanation:

just mark the negative and positive and draw graph as given remember R,A and T just draw for 4

If five less than y is six more than x + 1, then by how much is x less than y?. please explain more on this. i thougjt the answer is 7

Answers

Let’s say y is 20 so five less 20-5=15 so 15 is six more than x + 1 so 15-6=9 ,
9+11=20 , so that means x is less than y by 11 but x could be less than y by 12 because it said x + 1. Hope this helps

AHHHhHhHhHHhhHHHhHH!!!!!!!!

Answers

Answer:

8x4x2=64+24=88 the answer is 88 yw :) pls give brainliest

Step-by-step explanation:

Divide. Round your answer to the nearest hundredth.

Answers

Answer:

18276.92

Step-by-step explanation:

5940/0.325 = 18276.92

Which value belongs in the box

Answers

Where’s the box? Maybe then I can help

the product of 5 and 6 reduced by t

Answers

Answer:

5(6-t)

Step-by-step explanation:

in math, product means the "sum" of the equation or the final answer

and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-

5(6-t)

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

The owner of an apple orchard would like to estimate the mean number of usable apples produced per tree in his
large orchard. He selects a random sample of 10 trees from his large orchard. This dotplot displays the number of
usable apples produced for each of these trees.

Are the conditions for constructing at confidence interval met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, the conditions for inference are met.

Answers

Step-by-step explanation:

know the normal large sample condition is not met and also there are outliers

Answer:

Step-by-step explanation:

No, the Normal/large sample condition is not met.

which expression is equivalent to the expression -3(4x - 2) - 2x?
A- -8x
B- -16x
C- -14x -2
D- -14x + 6

Answers

Answer:

D is the answer

Step-by-step explanation:

You just distribute the negative three and combine like terms

1. Which function’s graph has a y-intercept of 2?
A. f(x) = 3x + 2
B. f(x) = 1.5(2)x
C. f(x) = 0.5(2)x + 1
D. f(x) = 0.5(2)x + 1.5

Answers

Answer:

Step-by-step explanation:

the number after the x is your y-intercept. so 3x+2 has a y-intercept of +2.

solve for x in the diagram below (plz no links)

Answers

Answer:

4X+50=150

-50 on both sides

4x=100

divided by 4 on both sides

x=25

Step-by-step explanation:

What’s is the median number of guest at these parties

Answers

Answer:

Step-by-step explanation:

21 and 27

You are only given an option of 21, so take it.

Answer:

its 21

Step-by-step explanation:

18.) What do you think would happen to the median if we included students
from grades 10-12?
(Please help it’s a literal kid life crisis )

Answers

Step-by-step explanation:

What do you think would happen to the median if we included students

from grades 10-12

A variable is normally distributed with mean 18 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.

a) Find the area to the left of 18.
0
Incorrect
b) Find the area to the left of 14.

c) Find the area to the right of 17.

d) Find the area to the right of 19.

e) Find the area between 14 and 30.

Answers

Answer:

a) The area to the left of 18 is 0.5.

b) The area to the left of 14 is if 0.309.

c) The area to the right of 17 is of 0.55.

d) The area to the right of 19 is of 0.45.

e) The area between 14 and 30 is of 0.624.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.

A variable is normally distributed with mean 18 and standard deviation 8

This means that [tex]\mu = 18, \sigma = 8[/tex]

a) Find the area to the left of 18.

This is the pvalue of Z when X = 18.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 18}{8}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5.

So the area to the left of 18 is 0.5.

b) Find the area to the left of 14.

This is the pvalue of Z when X = 14. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 18}{8}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.309

The area to the left of 14 is if 0.309.

c) Find the area to the right of 17.

This is 1 subtracted by the pvaleu of Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 18}{8}[/tex]

[tex]Z = -0.125[/tex]

[tex]Z = -0.125[/tex] has a pvalue of 0.45

1 - 0.45 = 0.55

The area to the right of 17 is of 0.55.

d) Find the area to the right of 19.

This is 1 subtracted by the pvaleu of Z when X = 19. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19 - 18}{8}[/tex]

[tex]Z = 0.125[/tex]

[tex]Z = 0.125[/tex] has a pvalue of 0.55

1 - 0.55 = 0.45

The area to the right of 19 is of 0.45.

e) Find the area between 14 and 30.

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 14.

X = 30

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 18}{8}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.933

From b), when X = 14, Z has a pvalue of 0.309.

0.933 - 0.309 = 0.624

The area between 14 and 30 is of 0.624.

The area to the left of 18 is 0.5, the area to the left of 14 is 0.309, the area to the right of 17 is 0.55, the area to the right of 19 is 0.45, and the area between 14 and 30 is 0.624.

Given :

A variable is normally distributed with a mean of 18 and a standard deviation of 8.

a) Use the z score formula in order to determine the area to the left of 18.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{18-18}{8}=0[/tex]

For the z = 0 the p-value is 0.5.

Therefore, 0.5 is the area to the left of 18.

b) Use the z score formula in order to determine the area to the left of 14.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{14-18}{8}=-0.5[/tex]

For the z = -0.5 the p-value is 0.309.

Therefore, 0.309 is the area to the left of 14.

c) Use the z score formula in order to determine the area to the right of 17.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{17-18}{8}=-0.125[/tex]

For the z = -0.125 the p-value is 0.45.

Therefore, the area to the left of 17 is given by:

= 1 - 0.45 = 0.55

d) Use the z score formula in order to determine the area to the right of 19.

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{19-18}{8}=0.125[/tex]

For the z = 0.125 the p-value is 0.55.

Therefore, the area to the left of 19 is given by:

= 1 - 0.55 = 0.45

e) Use the z score formula in order to determine the area between 14 and 30.

At X = 30 the z score becomes:

[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm Z = \dfrac{30-18}{8}=1.5[/tex]

For the z = 1.5 the p-value is 0.933.

For the z = -0.5 the p-value is 0.309.

Therefore, the area to the left of 14 is given by:

= 0.933 - 0.309

= 0.624

For more information, refer to the link given below:

https://brainly.com/question/13299273

Four pounds of bananas cost $6. What is the cost per pound of bananas?

Question 7 options:

$24 per pound

$1.50 per pound

$1 per pound

$6 per pound

Answers

$6/4pounds= 1.50 so $1.50 per pound is the answer

Which pair of terms can be used to represent any two consecutive odd numbers?
x and x + 1
x and x + 2
x and 2 x + 1
2 x and 2 x + 1

Answers

Answer:

x and 2x+1

Step-by-step explanation:

Please answer this! 100 Points!

Answers

Answer:

23ft!!

Step-by-step explanation:

brainliest please?

Answer:

23 ft

Step-by-step explanation:

find the volume of 6✓2cm

Answers

Step-by-step explanation:

Complete Question :-

find the volume of a cube of side 6✓2cm .

We know that the Volume of a cube is cube of side . So,

[tex]\implies Volume = side^3 \\\\\implies Volume = (6\sqrt2 \ cm)^3 \\\\\implies\boxed{\boxed{ Volume= 432\sqrt2\ cm^3}}[/tex]

Please help thank you so much Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?

Answers

Answer:

total length =5+5+10+10+π(10/2)=45.71ft.

Perimeter of semicircle

πr8/2π4π12.56ft

Now

Total length

3+5+8+10+10+12.56-836+4.5640.56ft

Answer fast DONT scam

Answers

Answer:

the answer would be D

Step-by-step explanation:

it world be D it makes the most sence

There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.

Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.

Answers

Answer:

i think its 2:7

Step-by-step explanation:

heres why

16 and 56 both have a number that equals which it is 8

so u divide

16/8=2

56/8=7

16:56 in simplest form is 2:7

What was the total distance, in miles, Eil has biked when he finally reached the library?

Answers

Answer:

Distance covered by Eli is [tex]5\frac{19}{20}[/tex] miles.

Step-by-step explanation:

Eli biked the distance from his home initially = [tex]1\frac{1}{10}[/tex] miles

Then he remembered that he had left a book at home.

He came back home and traveled the distance = [tex]1\frac{1}{10}[/tex] miles

Then he reached the library by traveling the distance = [tex]3\frac{3}{4}[/tex] miles

Total distance covered by him = [tex]1\frac{1}{10}+1\frac{1}{10}+3\frac{3}{4}[/tex]

= [tex]1 + \frac{1}{10}+1+\frac{1}{10}+3+\frac{3}{4}[/tex]

= 5 + [tex]\frac{1}{10}+\frac{1}{10}+\frac{3}{4}[/tex]

= [tex]5+\frac{2}{20}+\frac{2}{20}+\frac{15}{20}[/tex]

= [tex]5+\frac{19}{20}[/tex]

= [tex]5\frac{19}{20}[/tex] miles

Therefore, distance covered by Eli is [tex]5\frac{19}{20}[/tex] miles.

please please ASAP please

Answers

44
how to solve: 56*2=112
4928/112= 44

4 x 10^8 + 8x10^7 ?

Answers

Answer:

4x108+8x107

Step-by-step explanation:

Simplifies to:

Let's simplify step-by-step.

4x100000000+8x10000000

There are no like terms.

What happens to the volume of a sphere if its radius is multiplied by 6?

Answers

Answer:

216 times the original

Step-by-step explanation:

Volume 1 = 4/3 πr³

volume 2 = 4/3 π(6r)³

v 2 / v 1 = 6³ = 216

When the radius of a sphere is multiplied by 6, the volume is multiplied by 216

How to determine the volume?

Let the radius of the sphere be r

The volume of a sphere of radius, r is calculated as:

v = 4/3 πr³

When multiplied by 6, the radius becomes:

R = 6r

The new volume is then calculated as:

V = 4/3 π(6r)³

Divide both volumes

V/v = 4/3 π(6r)³ / 4/3 πr³

Evaluate the quotient

V/v = 6³

V/v = 216

Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216

Answers

Answer:

??/????

Step-by-step explanation:

Answer:

are you okay?

Step-by-step explanation:

just kidding...i know you're not...

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