Answer: The required ratio will be

Step-by-step explanation:
Since we have given that
Ratio of AD to AB is 3:2
Length of AB = 30 inches
So, it becomes

So, Length of AD becomes

Now, at either end , there is a semicircle.
Radius of semicircle along AB is given by

So, Area of semicircle along AB and CD is given by

Radius of semicircle along AD is given by

Area of semicircle along AD and BC is given by

And the combined area of the semicircles is given by

Area of rectangle is given by

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

Hence, the required ratio will be

Answer:
A: Diane earns 200 + (10×20)= 400
B: Darryl earns (400-250)/20= $7.50 per hour
<span>The number sentence 4x7=(4x3)+(4x4) is an example of distributive property.
The distributive property states the following:
</span><span>a × (b + c) = a × b + a × c
</span>Multiplying <span>a sum by a number is the same as </span>multiplying<span> each addend by the number and then adding the products. </span>
In our case, a=4 b+c=7, b=3, c=4
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME