To find an inverse function first replace f(x) with y
f(x) = 8*sqrt(x)
y = 8*sqrt(x)
Then, simply switch the places of the x and y.
x = 8sqrt(y)
Now solve for the new y by squaring both sides (to get rid of the root)
x^2 = 64y
divide to get
y = x^2/64. This is the inverse function or option C.
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Answer:
12 3/4 hours
Step-by-step explanation:
Jack spends 1 1/2 times as long on his homework as Jill .
Jill spends 8 1/2 in doing his home work .
Time spent by jack in doing his homework is jacks time multiplied by Jill’s
That’s
1 1/2 x 8 1/2
Change to improper fractions.
We have,
3/2 x 17/2
Multiply through
51/4 = 12 3/4
Jack spends 12 3/4 hours in doing his homework
Answer:
Figure A
Step-by-step explanation:
Hope it helps.
Answer:
528000 ft²
Step-by-step explanation:
The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.
Given:
length of base (b) = 600 ft and height of lateral face (h) = 440 ft.
Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.
Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²
The lateral faces are made almost completely of glass and they are 4 lateral faces, therefore the total area of the glass in the Pyramid Arena = 4 × 132000 ft² = 528000 ft²
