Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
Answer:
a) 77.13
b) 179.97
Step-by-step explanation:
3x + 3x + 4x + 5x + 6x + 7x = (6 - 2) × 180
28x = 720
x = 720/28
x ≅ 25.71
3 × 25.71 = 77.13 = smallest angle
7 × 25.71 = 179.97 = largest angle
The expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
The area of the rectangle = length x width
= (3x² + 8x + 7)(7x²)
= 21x⁴ + 56x³ + 49x²
Thus, the expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.
Learn more about the rectangle here:
brainly.com/question/15019502
#SPJ1
Answer: last option.
Step-by-step explanation:
According to the Product of powers property, you have:
As you can see, when you can add the exponents when you have powers with equal base.
Then, 
and 
do not have the same base, therefore, the exponents can't be added.
Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.
Answer:
<h2>C. $1,689.00</h2>
Step-by-step explanation:
Let the amount spent by Tim be x and the amount spent by Nikko be y
If Tim spent $55 more than 2/3 of the amount that Nikko spent for his computer, then amount spent by Tim will be x = 55+2/3 y
Since the total amount that Tim and Nikko spent for their computers was $2,870 then;
x+y = $2,870
Substituting x = 55+2/3y into the equation above, we will have;
55+2y/3 + y = 2,870
(165 + 2y)/3 + y = 2,870
(165 + 2y+3y)/3 = 2,870
cross multiply
165 + 2y+3y = 3*2870
165+5y = 8610
5y = 8610-165
5y = 8445
y = 8445/5
y = 1689
<em>Hence Nikko spent a sum of $1,689.00 on his computer.</em>
