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2 years ago

In order to determine the height of the flagpole in the school yard, Cindy is going to use similar triangles. The

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

The height of the pole is 12.5 feet.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

Learn more about this Unitary method here:

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Answer:

7.5 lb/cu ft

Step-by-step explanation:

75 lb / 10 cu ft = 7.5 lb/cu ft

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3 years ago

Tom's statement shows a previous balance of $2452.64 a payment of $160 a new transactions totaling $138 what is his new balance

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3 years ago

Read 2 more answers

How many solutions does the equation have?

snow_lady [41]

$5(n - 2) = 5n - 10 \\ \\ 5n - 10 = 5n - 10 \\ \\ 5n - 10 + 10 = 5n - 10 + 10 \\ \\ 5n = 5n \\ \\$

Infinite solutions. This equality is true for any value of n.

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3 years ago

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one

nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>

$y=\dfrac{2}{3}x+2$
$6x-4y=-10$

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

$6x-4y=-10$

$6x-4(\dfrac{2}{3}x+2)=-10$

$6x-\dfrac{8}{3}x-8=-10$

$\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8$

$\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2$

$\dfrac{18x-8x}{3}=-2$

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<h3>Equation 1,</h3>

$y=\dfrac{2}{3}x+2$

substitute the value of x in equation 1,

$y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6$

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

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3 years ago