Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
Answer:
First account (simple interest)
Step-by-step explanation:
The amount of interest earned by the first account is ...
I = Prt = $2000·0.04·7 = $2000·0.28 = $560
The amount in the second account at the end of 7 year is ...
FV = P·(1+r)^t = $2000·1.02^7 = $2297.37
so you have earned $297.37 in interest on the second account.
$560 is more than $297, so the First Account (simple interest) earns more money.
So we know that there are 8 slices per large pizza (7), so a total of 56 slices
we would set up a proportion
5/8=x/56
8 times 7 gives you 56, and we would do that same thing to the 5 (multiply it by 7) to get 35?
so now we know that 35 out of 56 slices were eaten
56-35 is 21
so there are 21 slices left over
Answer:
X=3
Step-by-step explanation:
We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship. This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.
Answer:
14/3 - 4 and 2/3
35/8- 4 and 3/8
51/12- 4 and 3/12
22/5- 4 and 2/5
Step-by-step explanation:
