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3 years ago

The area of a semi circle is 20

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

7 0

What the person above me said ^^

alisha [4.7K]3 years ago

3 0

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

(1/2)(314)

1/2(314) = 157

Finally, we have our result which is 157 inches^2.

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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

SOVA2 [1]

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

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3 years ago

Which equation shows y=−12x+4 is in standard form?

Dmitriy789 [7]

Answer:

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Step-by-step explanation:

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3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$