Janet drove 300 miles in 4.5 hours. Write an equation to find the rate at which she was traveling.

Answers

Answer 1
Answer: If you would like to know the rate at which she was travelling, you can calculate this using the following steps:

300 miles ... 4.5 hours
x miles = ? ... 1 hour

300 * 1 = 4.5 * x
300 = 4.5 * x
x = 300 / 4.5
x = 200 / 3
x = 66.67 miles per hour

Janet was travelling at the rate 66.67 miles per hour. 

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The rate of 8 pencils for 9 dollars

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I think the answer is 1.125

What does |-100| equal?

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The two straight lines around the number indicate absolute value. Absolute value is the distance from the number to zero (essentially how many marks away on a number line).

0 - (-100)
0 + 100
100

It is equal to 100.
It would equal 100 because you are taking -100 and basically doing the opposite so it would be 100 

F f(x) = 2x2 and g(x) = 3x, what is (g o f)(x)a. 6x2
b. 9x2
c. 18x2
d. 8x4

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I think f(x) is 2x², and I think you're trying to ask for 'g' of 'f of x'.

g(x) = 3x

g [ f(x) ] = 3 (2x²) = 6x² .

That's choice-'a'.


Solve the equation A = 2LW + 2LH + 2WH for H.a) H = A - 2LW/2L + 2W
b) H = A + 2LW/2L + 2W
c) H = A - 2LW/4LW
d) H = A/2L + 2W - 2LW

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H = A - 2LW / 2 (L+W)

Work out the area of a semicircle with radius 3cm. Give your answer in terms of pie

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Answer:

Step-by-step explanation:

To find the area of a semicircle, you can follow these steps:

1. Recall that the formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.

2. Since a semicircle is half of a circle, the formula for the area of a semicircle is A = (πr^2)/2.

3. In this case, the radius of the semicircle is given as 3cm. Plug this value into the formula: A = (π * 3^2)/2.

4. Simplify the equation: A = (π * 9)/2.

5. The final answer, in terms of π, is A = 4.5π square centimeters.

Therefore, the area of the semicircle with a radius of 3cm is 4.5π square centimeters

The shortest distance from a point to a straight line is

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The shortest distance from a point to a straight line is the measurement of the line segment which connects the point to the straight line. This line segment should be perpendicular to the line and is thus called the perpendicular distance.