Answer:
3000 cm³
Step-by-step explanation:
Volume = Difference of Volumes of the two pyramids
Volume, V1, of the larger pyramid with tip at L:
Base area = area of EFGH = 10²
Height = ML = 15
V2 = ⅓×(10²)×15 = 4000
Volume, V2, of the smaller pyramid with tip at L:
Base area = area of = 10²
Height = OL = OM+ML = 15+15 = 30
V1 = ⅓×(10²)×30 = 1000
Volume = V1 - V2
= 4000-1000 = 3000 cm³
Answer:
average speed of hiker is 2.4 mph
Step-by-step explanation:
here is the solution : -
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average speed of hiker is 2.4 miles per hour
The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
<u>Explanation:</u>
Given:
Two rectangles are proportional.
Length and width of 1 rectangle = 6 : 8
Dimensions of the other rectangle = ?
Let length and width of the other rectangle be x : y
According to the question:


So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.
Let us assume number of Prizes are = p and
Number of participants = n.
If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.
Let us assume that quotent is taken by q.
So, we can setup an expression now.
Let us rephrase the statement .
" Number of Prizes ÷ Number of participants = quotient".
p ÷ n = q.
In fraction form we can write
p/n =q ; n ≠ 0.