Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Volume of prism = 5 x 5 x 12 = 300 cubic centimeters
Volume of pyramid = 5 x 5 x 6 = 150 cubic centimeters
Volume of space = 300 - 150 = 150 cubic cm
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
3 out of 6 times will roll out as a multiple of 3
Volume of a cone = 1/3πr²h
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³