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Brrunno [24]
2 years ago
10

Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

Answer:

10000*39

Step-by-step explanation:

Simplify the equation fully.

(125 + 25)(5 - 1)

(15625 + 625)(25 - 1)

(16250)(24)

390000

Divide the answer by 39

390000/39 = 10000

babymother [125]2 years ago
3 0

Answer:

10000 * 39

Step-by-step explanation:

(125^2+25^2)(5^2-1)

Rewriting

(5^3^2+5^2^2)(5^2-1)

We know that a^b^c = a^ ( b*c)

(5^(3*2)+5^(2*2))(5^2-1)

(5^6+5^4)(5^2-1)

Factor out 5^4

5^4( 5^2 +1)(5^2-1)

5^4 ( 26) (24)

Factor

5^4 ( 13*2) (3*8)

Rearrange the order

5^4 ( 13*3) (2*8)

5^4 *39 *16

625 * 16 * 39

10000 * 39

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Sara is mixing together a fruit punch for a party. She's made 4 gallons of punch with a mixture of 50% juice. Her mother tells h
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\bf \begin{array}{lccclll}
&amount(gallons)&juice&\textit{juice amount}\\
&--------&-----&-----\\
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The questions are illustrations of trigonometry ratios and right triangles

  • The value of x is 11.8310
  • The tree is 23.3154 feet tall
  • The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

\sin(25) =\frac{5}{x}

Make x the subject

x =\frac{5}{\sin(25)}

This gives

x =11.8310

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

\tan(25) =\frac{h}{50}

Make h the subject

h = 50 \times \tan(25)

This gives

h = 23.3154

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

\tan(37) =\frac{h}{500}

Make h the subject

h = 500 \times \tan(37)

This gives

h = 376.7770

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

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