find the measure of the angle theta

Find The Measure Of The Angle Theta

Answers

Answer 1

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°


Related Questions

An independent-samples t test was conducted to compare high-altitude exercise to exercise at sea-level. Imagine the mean comfort level of participants, rated on a 7-point scale where high values reflect high comfort, at high altitude was 3.5 while the average at sea-level was 5.1. Imagine also that values were calculated for sdifference of 1.1, 2.04 for pooled variance, and 35 for degrees of freedom total. What are the critical cutoffs for this test

Answers

Answer:

-2.03, 2.03

Step-by-step explanation:

The degree of freedom (df) ;

Df total for the two samples = 35

Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.

(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025

Using a T critical value calculator or t table distribution ;

Tcritical, 0.025, df = 35 = 2.03

Left tail = - 2.03

Right = 2.03

Hence, critical cutoff :

(-2.03 ; 2.03)

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Answers

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

How to simplify this expression?

(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)

Express the answer as 12^?.

Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.

Thanks!!

Answers

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

1. Solve the inequality. x/8 >4​

Answers

Answer:

X > 32

Step-by-step explanation:

Brainliest?

pls help me forgot how to do this
find the value of x

Answers

Answer:

Step-by-step explanation:

oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.

Hope this helps!

Answer:

146°

Step-by-step explanation:

1) 180-51-95 = 34 All the angles in a triangle add up to 180.

2) A straight line is 180, so x = 180 - the interior angle.

3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2

4) x = 180-34 = 146


Sophie needs to determine the amount of water that will fit into her new vase, shown below.

Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere

Answers

Answer:A truncated cone and a sphere

Step-by-step explanation:

I just did it.

The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

Sophie needs to determine the amount of water that will fit into her new vase, as shown below.

What is the volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.

Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

To learn more about the volume visit:

https://brainly.com/question/1972490

#SPJ2

a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20

Answers

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

-8(n-5)= -2(4n+11)

SOMEONE PLEASE SOLVE IT PLEASEEEE

Answers

use Photomath and then you can get your answer!

Answer:

Use papa math

Y = 5x + 2
6y = 18x + 12
What is the value of X?

Answers

Step-by-step explanation:

x= 0, y = 2

have a great day

I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX

15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?

Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.

Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.

Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

Answers

Answer:

Select a card from a set of cards with the letters A through D, then spin this once.

Spin this and roll an 8-sided number cube with the digits 1 to 8.

Plz help well mark brainliest if you are correct!

Answers

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.

Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)

Answers

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

Brainliest for correct answer asap

Answers

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.


An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?

Answers

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2

Answers

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.

Answers

Answer:

39 I believe. The question is a little confusing.

Step-by-step explanation:

49-10=h 39=h

Not sure if this is what you want the question is worded weirdly.

same thing as last. nearest 100th

Answers

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

PLEASE HELP IMMEDIATELY!!

Answers

Answer:

}

Step-by-step e.xplanati:kljkjk

find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best

Answers

28 x 18 x 10
= 5040
L x W x H

n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.

Answers

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

I already know the answer but ima check and see.

Answers

I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100


MARK ME BRAINLIEST PLEASE

what is the distance between the points (-7,3) and (4,-5)

Answers

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

If ∆HCN~∆BMD, solve for x.

Answer options:
A.11
B.12
C.13
D.14

PLEASE HELP ASAP THANK YOU!

Answers

Answer:

13

Step-by-step explanation:

Help please due in 45 minutes!!

Answers

Answer:

x=4, y=5

Step-by-step explanation:

Download photo math and take a picture of it

I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?

Answers

Answer:

2.5hrs

Step-by-step explanation:

Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27

Answers

Answer:

:::::::::

C. 6:7 = 18:21

answer: it is C

Step-by-step explanation:

6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.

hope it helps :)

PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

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