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Answer:
Y=x+3
Step-by-step explanation:
we have :
x1= -7
y1= -4
m=1
as we know Y-y1=m(X-x1)
Y+4=(X+7)
Y+4=X+7
Y=X+7-4
<u>Y=X+3</u>
Answer:
infinite number of solutions are possible
Step-by-step explanation:
The formula for the volume of a pyramid is (1/3)(base)(height). Since this pyramid is square, the area of the base is s^2, where s represents the length of one side of the base.
Thus, 144 in^3 = (1/3)(s^2)(h), where h is the height of the pyramid.
Let's solve for the constraints on the side length s and the height h:
Multiplying 144 in^3 = (1/3)(s^2)(h) by 3 to clear out the fractions:
432 in^3 = (s^2)(h)
There are multiple answers tot his question. Let's arbirtrarily state that the height is 10 inches. Then 432 in^3 = 10s^2 in^2, and s^2 = 43.2 (in^2).
With height 10 inches, the side length of the square bottom would be the square root of 43.2 in^2: 6.57 in.
Thus, one of many solutions would be as follows:
side length of square base: 6.57 in
height of pyramid: 10 in
Answer:
B
Step-by-step explanation:
Answer:
h = 19 mm
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
the base is a regular pentagon whose area (A) is calculated as
A = pa ( p is the perimeter and a the apothem )
p = 5 × 12 = 60 mm and a = 5 mm , then
A = × 60 × 5 = 30 × 5 = 150 mm²
given V = 2850 , then
150h = 2850 ( divide both sides by 150 )
h = 19 mm