<h3>
Answer: 9 inches (choice D)</h3>
Work Shown:
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(12*10)*h
V = (1/3)*120h
V = 40h
Set this equal to the given pyramid volume 360 cubic inches and solve for h
40h = 360
h = 360/40
h = 9
5/8 = 15/24
1/3 = 8/24
15 + 8 =23/24 customers chose pie as a dessert, leaving 1/24 who ordered ice cream. The answer is A.
Hope this helps!
3x - 6 = 7x + 18
(Move terms)
3x - 7x = 18 + 6
(Collect the terms)
(Calculate the sum)
-4x = 24
(Divide both sides by -4)
x = -6
Answer:
28.5 weeks
Step-by-step explanation:
First, subtract 3 from 60:
60 - 3
= 57
Then, divide this by 2:
57/2
= 28.5
So, the plant will be 60 in tall after 28.5 weeks
<em>FIRST QUESTION:</em>
The slide is 21 ft long. You can imagine that this slide is actually the <u>hypotenuse</u> of a right angled triangle.
To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the <u>opposite</u> side of the right angled triangle.
Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the <u>adjacent</u> side of this right angled triangle.
We know, thanks to Pythagoras that:
A²+O²=H²
A = Adjacent length = b
O = Opposite length
H = Hypotenuse
Therefore:
b²+9²=21²
b²=21²-9²
b²=360
b=√360=18.97 (2dp)
So the answer you are looking for is <u>19 feet</u> to the nearest tenth (answer: B).
<em>SECOND QUESTION:</em>
18²+24²=30² (Yes)
Therefore the answer to the second question is YES (answer: A).