Answer:
Due to there being no negatives in this equation, you can pretty much just eliminate the first 3 answers.
However in working out, here is what I did.
x^2 + x - 30 = 12 (+30)
= x^2 + x = 42
Then you can conclude that the answer is D, due to 6 x 6 = 36, plus 7 equaling 42.
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.
Answer:
C.) 7.14 in²
Step-by-step explanation:
The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.
The area of the square can be found by multiplying length times the width:

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:
A=4in²
Now find the area of the circle using the formula:

The radius is half of the diameter, so the radius is 1. Insert values and solve:

The area of the circle is equal to π. Add the values together:

The area of the figure is 7.14 in²
:Done
Answer:
Answer is n^4
Step-by-step explanation:
You add the exponent when they are multiplying and have the same base
Answer:
120 grams
if they are all the same size