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2 years ago

Pythagorean theorem!! round to the nearest tenth ..

Mathematics

1 answer:

natulia [17]2 years ago

5 0

Answer:

Step-by-step explanation:

We are given a leg and the hypotenuse, and we can put what we have into the pythagorean theorem formula:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 576

b = 24

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a total of $9500 is invested, part at 10% simple interest and part at 9%. if the total annual return from the two investments is

Nutka1998 [239]

a total of $9500 is invested, part at 10% simple interest and part at 9%

if the total annual return from the two investments is $914.00

Amount invested = 9500

Total amount return means total yield = $914

Let x amount is invested at 10% simple interest

Interest for first part = 10 % times x = 0.10x

Remaining part invested is 9500 -x

Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)

Total interest yield is 914. Now we frame an equation

0.10x + 0.09(9500-x) = 914

0.10x +855 - 0.09x = 914 (combine like terms)

0.01 x + 855 = 914 (subtract 855)

0.01x = 59 ( divide both sides by 0.01)

So x = 5900

$5900 is invested in 10% simple interest

9500 - 5900 = $3600 is invested in 9% simple interest

3 0

3 years ago

A Toblerone candy bar is in the shape of a triangular prism. The area of the base is 3 in 2and the height of the prism is 5 in.

Mrac [35]

Answer:

15 in³

Step-by-step explanation:

<u>Volume of the prism:</u>

V = Bh, where B- area of base, h- height

<u>Given:</u>

B = 3 in²
h = 5 in

<u>Volume is:</u>

V = 3*5 = 15 in³

8 0

3 years ago

What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with righ

hjlf

The trigonometric ratio will be Cos(n)=12/13

<h3>What will be the trigonometry ratio?</h3>

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

$Cos(n)=\dfrac{adjacent}{Hypotenuse}$

$Cos(n)=\dfrac{MN}{LN}$

$Cos(n)=\dfrac{36}{39}$

$Cos(n)=\dfrac{12}{13}$

Hence the required ratio will be $Cos(n)=\dfrac{12}{13}$

To know more about trigonometry, follow

trigonometry

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2 years ago

Find the radius y of circle C, given that x = 12 and z = y + 8.<br> PLEASEEE HELP ME

myrzilka [38]

I think the answer is 3 :))

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3 years ago

A certain cuty has 2700 pets. of these pets 1/4 are cats 1\5 are dogs 1/10 are horses 1/9 are frogs 1/4 are fish and the rest ar

andriy [413]

1/5 are dogs.

1/5 x 2700 = 540

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Answer: There are 540 dogs.
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4 0

3 years ago