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3 years ago

In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

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Need help on 11, 12, and 13

Sati [7]

11. is 25°
(Both triangles have two congruent angles which means the 3rd angle is bound to be the same. Just add the 90° and the 65° to get 155 and subtract from 180° because all triangles equal 180°)
12. is 25°
(Same as before, two of the angles are congruent so the third one is the same. Add all of the angles together and have them equal 180° because their is a variable present. 2x+60+70=180 or 2x+130=180. subtract 130 from both sides to get the equation 2x=50 and then divide both sides by 2 to get x=25.)
13. y=14 and x=11.6 (assuming m<d says 15x ÷ 2 because I couldn't really read it)
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3 years ago

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.

mash [69]

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

6 0

3 years ago

Please, can you give me help with answer #1- #2 and #3.Thanks.

ad-work [718]

Look at pic for work, all answers and work is listed

4 0

3 years ago

Read 2 more answers

How many days will it take for a sum of $4,000 to earn $80 interest if it is deposited in a bank paying ordinary simple interest

Maksim231197 [3]

Answer:

It will take 146 days to earn an interest of $80.

Step-by-step explanation:

The simple interest formula is:

$I=\frac{P\times r\times t}{100}$

It is provided that:

I = $80

P = $4,000

r = 5% p.a.

Compute the time required as follows:

$I=\frac{P\times r\times t}{100}$

$t=\frac{I\times 100}{P\times r}$

$=\frac{80\times 100}{4000\times 5}\\\\=0.4\ \years\\\\=0.4\times 365\ days\\\\=146\ days$

Thus, it will take 146 days to earn an interest of $80.

4 0

3 years ago

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185

Marta_Voda [28]

This question is incomplete

Complete Question

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.

The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can

purchase. Which statement about the number of new baseballs that can be purchased is true?

A. The team can purchase 204 new baseballs.

B. The minimum number of new baseballs that can be purchased is 185.

C. The maximum number of new baseballs that can be purchased is 185.

D. The team can purchase 185 new baseballs, but this number is neither the

maximum nor the minimum.

Answer:

D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

Step-by-step explanation:

The first step would be to solve the given equation:

185 + 4b ≤ 1000

4b ≤ 1000 - 185

4b ≤ 815

Divide both sides by 4

b ≤ 203.75

The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.

Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

The maximum number of ball they can buy is 203 balls and the minimum is zero.

8 0

3 years ago