The faction is 3/4.
I got the answer by doing 24/32 = 0.75.
Then, I converted the decimal into a fraction. Which, is 3/4.
I hope this helps! :)
Answer:
(2,-1.5)
Step-by-step explanation:
There are 11 points in between the two points therefore it has to be (2,-1.5)
Break down the figure into 2 separate rectangular solid and find each volume and sum it.
<u>Volume of smaller step:</u> The volume of any rectangular solid is given by,

So we have 
<u>Volume of larger step:</u> The only dimension that is different than the smaller step is of the height, which is 6. So we have,

Hence, the volume of the whole figure, in cubic inches, is
. Answer choice B.
ANSWER: B
17(x + 5)
to find a equivalent expression, simplify this one
distribute the 17 to both x and 5 (distributive property)
17(x) = 17x
17(5) = 85
17x + 85 is your simplified and equivalent expression
hope this helps
Since this is a square pyramid, the length of all the sides going up towards the top point of the pyramid (the apex) are all 4m. The triangular faces of the square pyramid are all equilateral triangles because we are given that one of the angles is 60°.
Since we are just looking for x, we can ignore all the other sides of the square pyramid except for the front face with x and 60°. That front face is an equilateral triangle. We see x splitting the equilateral triangle into two smaller triangles. These smaller triangles are all special 30-60-90 triangles (see picture), so you can use your rules for the side lengths of the triangles to figure out the length of x.
In a 30-60-90 triangle, the sides are in a 1:2:√3 ratio for the short leg to the long leg to the hypotenuse. That means the long leg is the short leg times 2 and the hypotenuse is the short leg times √3.
We know the hypotenuse is 4m and we are trying to find the long leg, x. We know that the ratio of the hypotenuse to the long leg is √3:2 and we can cross multiply and solve for x, then put x into simplest radical form:
Your final answer is
.