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2 years ago

Determine the center and radius of the following circle equation:

Mathematics

1 answer:

blagie [28]2 years ago

8 0

Answer: Center: (-7,6)

Radius: 4

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Tony ran laps around a track to raise money for a hospital. Tony raised $15 plus $1.50 per lap that he ran. He raised a total of

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3 years ago

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ollegr [7]

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2 years ago

use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your

Butoxors [25]

Answer:

<h3>See below</h3>

Step-by-step explanation:

to figure out the ratios we must figure out the length of <u>hypotenuse</u> first to do so we can consider <u>Pythagoras</u><u> theorem</u> given by

$\displaystyle {a}^{2} + {b}^{2} = {c}^{2}$

$\displaystyle \implies c = \sqrt{ {a}^{2} + {b}^{2} }$

substitute:

$\displaystyle c = \sqrt{ {12}^{2} + {9}^{2} }$

simplify squares:

$\displaystyle c = \sqrt{ 225 }$

simplify square root:

$\displaystyle c = 15$

now recall that,

$\displaystyle \sin( \theta) = \frac{opp}{hypo}$
$\displaystyle\cos( \theta) = \frac{adj}{hypo}$
$\displaystyle \tan( \theta) = \frac{opp}{adj}$

the ratios with respect to angle w given by

$\displaystyle \sin( W) = \frac{12}{15} = \frac{4}{5}$
$\displaystyle \cos(W) = \frac{9}{15} = \frac{3}{5}$
$\displaystyle \tan( W) = \frac{12}{9} = \frac{4}{3}$

the following ratio with respect to angle X

$\displaystyle \sin(X) = \frac{9}{15} = \frac{3}{5}$
$\displaystyle \cos(X) = \frac{12}{15} = \frac{4}{5}$
$\displaystyle \tan( X) = \frac{9}{12} = \frac{3}{4}$

7 0

2 years ago

What is the value of the expression <br> (r − 29) ÷ 7

STALIN [3.7K]

Answer: Answer is 8! Brainleist pls :D

6 0

2 years ago

Read 2 more answers

Michael deposited $500 in the bank.The bank pays michael interest compounded quarterly at the rate of 4 percent per year. How mu

Andreyy89

Answer: the amount in the account would be $515.15

Step-by-step explanation:

Initial amount deposited into the account is $500 This means that the principal is

P = 500

It was compounded quarterly. This means that it was compounded four times in a year. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

The money would be compounded for 9 months. So

t = 9 months = 9/12 = 0.75

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 500 (1+0.04/4)^ 4 × 0.75

A = 500(1.01)^3= $515.15

6 0

3 years ago