Please help: Find the volume of the solid. Use 3.14 for π.
1 answer:
Answer:
The volume of the solid is 420m³
Step-by-step explanation:
The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.
Knowing this we just need to solve for a couple of things.
First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.
1/3 · B · 15
Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( →
→
→
) giving us 84 units. This puts another number into our equation.
1/3 · 84 · 15
Now that we have all of the parts to our equation, we can solve it.
1/3 · 84 · 15
1/3 · 1260
420
The volume of the solid is 420m³
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Answer:
The garden can not have area of 700ft^2
Step-by-step explanation:
We are given equation for area as
where
w is the width (in feet) of the garden
now, we are given area =700 ft^2
so, we can set area =700
and then we can solve for w
now, we can use quadratic formula
we can compare and find a,b, and c
a=-1 , b=50 , c=-700
now, we can plug values
We can see that values of w is not real
so, w does not exists when area =700
so, The garden can not have area of 700ft^2
Answer:
The attachment shows ΔBAC ~ ΔBDA
Step-by-step explanation:
You want segment AB to be part of two similar, but not congruent, triangles. One way to do that is to make AB the hypotenuse of one triangle and the leg of another.
It is convenient to construct these triangles using point M as the arbitrary midpoint of the hypotenuse of the larger triangle. (We don't know the coordinates of M—we just know it is on the perpendicular bisector of AB.) BC is a diameter of circle M, and AD is the altitude of ΔABC.
