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notka56 [123]
3 years ago
15

a piece of coal in a shape of a square pyramid has base edge pf 8.2 in on each side and with height of 5.3 in. What is the volum

e?
Mathematics
2 answers:
lozanna [386]3 years ago
4 0
Volume = 1/3a^2h

v= 1/3 x 8.2^2 x 5.3

v=118.79066666667 in^3
vredina [299]3 years ago
3 0
The volume is 43.46.
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Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side
gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is V=\dfrac{3}{4}\ yd^3

Length of the cubic block is a=\dfrac{1}{2}\ yd

Volume of each cubic block is

\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3

Suppose, n blocks are required to measure the volume of Prism

\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}

Thus, 6 blocks are required to measure the volume of prism.

7 0
3 years ago
A neighbor farmer had some chickens. She had 24 feet of wire fencing to
Paraphin [41]

Answer:

A rectangle is defined by its length = L, and its width = W.

So the perimeter of the of the rectangle can be written as:

Perimeter = 2*L + 2*W.

In this case, we want to leave the perimeter fixed, so we have:

24ft = 2*L + 2*W.

Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.

2*L = 24ft - 2*W

L = 12ft - W.

or:

L(W) = 12ft - W.

Such that:

W must be greater than zero (because we can not have negative or zero width).

And W must be smaller than 12ft (because in that case we would have zero or negative length)

Then the possible different dimensions are given by:

L(W) = 12ft - W

0ft < W < 12ft.

8 0
3 years ago
Simplify the expression
Grace [21]
(-5+8*i)+(-9+5*i) evaluates to <span>-14+13i</span>
6 0
3 years ago
Suppose f(x)=2×+5 find the value of -2f(x+1)
loris [4]
F(x) = 2x + 5 

-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5

-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10

----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------
3 0
3 years ago
Find the value of z.
Radda [10]

Answer:

40

Step-by-step explanation:

210-x=50×2

or, 210-x=100

or, x=210-100

or, x=110

so,

z = 360-210-110

or, z = 40

7 0
3 years ago
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