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2 years ago

Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.

Mathematics

1 answer:

xxMikexx [17]2 years ago

6 0

Answer:

To the nearest hundredth : 628.32 $cm^2$

To the nearest whole number : 628 $cm^2$

Step-by-step explanation:

The formula for the area of a circle is : $\pi*radius^2$

To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.

Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.

The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 $cm^2$ . This is because a semi-circle is half of a circle.

1) Divide 40 by 2.

$40/2=20 cm$

2) Multiply pi by 20 squared.

$\pi*20^2=1256.64 cm^2$

3) Divide 1256.64 by 2.

$1256.64/2=628.32 cm^2$

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2 years ago

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

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6 0

3 years ago

Read 2 more answers

A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3.00 + 0.50 m = 9.50

Vsevolod [243]

Answer: The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

3.00 + 0.50 m = 9.50

Where m is the number of miles.

The equation states that the fixed fee charged (3.00) plus the product of the value of each mile traveled (0.50) and the number of miles traveled (m); is equal to 9.50.

So, the correct statements are: