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4 years ago

Write the phrase as an expression. Then evaluate when y=20.

Mathematics

1 answer:

alisha [4.7K]4 years ago

7 0

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

$Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10$

Therefore, the quotient is 10, when the value of 'y' is 20.

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Answer:

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Step-by-step explanation:

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3 years ago

A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Rectangle 5cm,20cmcircle : radius 5cm

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Answer:

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Step 1:

We start by calculating the area of the rectangle using:

$\begin{gathered} A_{rectangle}=l\times b \\ \end{gathered}$

By substituting the values, we will have

$\begin{gathered} A_{rectangle}=l\times b \\ A_{rectangle}=20cm\times5cm \\ A_{rectangle}=100cm^2 \\ A_1=100cm^2 \end{gathered}$

Step 2:

we calculate the area of the triangle using:

$A_{triangle}=\frac{1}{2}\times base\times height$

By substituting the values, we will have

$\begin{gathered} A_{tr\imaginaryI angle}=\frac{1}{2}\times base\times he\imaginaryI ght \\ A_{tr\mathrm{i}angle}=\frac{1}{2}\times10cm\times8cm \\ A_{tr\mathrm{i}angle}=\frac{80cm^2}{2} \\ A_{tr\mathrm{i}angle}=40cm^2 \\ A_2=40cm^2 \end{gathered}$

Step 3:

Calculate the area of the two semicircles

$A_{semicircle}=\frac{\pi r^2}{2}$

By substituting the values, we will have

$\begin{gathered} A_{sem\imaginaryI c\imaginaryI rcle}=\frac{\pi r^{2}}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=3.14\times\frac{5^2}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=39.25cm^2 \\ Area\text{ of two semicircle will be} \\ A_3=39.25cm^2\times2 \\ A_3=78.5cm^2 \end{gathered}$

Step 4:

Calculate the area of the shape

We will calculate the area of the shape by adding all the individual areas together