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mart [117]
3 years ago
7

what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is

one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually?
Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

What are the projetions?


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The formula of the volume of a pyramid is 1/3BH, where B represents the area of the base of the pyramid and H represents the hei
zysi [14]

Answer:

It depends on the relation between the heights  of both pyramids

Step-by-step explanation:

We know the volume of a pyramid of base b and height h is

V=\frac{1}{3}bh

If the volume of the pyramid A is 3 times the volume of the pyramid B, then

\frac{1}{3}b_ah_a=3*\frac{1}{3}b_bh_b=b_bh_b

Which means

b_ah_a=3*b_bh_b

If we knew both heights are the same, we could conclude that

b_a=3*b_b

In which case the base of the pyramid A would be greater than the other base

But if, for example, the height of the pyramid A is 3 times the height of the other height, then

3*b_a=3*b_b=>b_a=b_b

Both bases would be the same.

If we choose that  

h_a >3*h_b

it would mean

b_a

In which case the base of the pyramid A would be less than the other base

So the answer entirely depends on the relation between the heights of both pyramids

3 0
3 years ago
Match each compound inequality on the left to the graph that represents its solution on the right.​
Jlenok [28]

Answer: First answer goes with second graph

Second answer goes with third graph

Third answer goes with first graph :)

Step-by-step explanation:

6 0
3 years ago
A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the
QveST [7]

Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

   therefore, Wilson is incorrect.

5 0
3 years ago
Read 2 more answers
Given f(x) = 2x + 9, if f(x) = 15, find x.​
AleksandrR [38]

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

f(x)=2x+9\\\\\text{Substitute}\ f(x)=15:\\\\15=2x+9\qquad\text{subtract 9 from both isdes}\\\\15-9=2x+9-9\\\\6=2x\qquad\text{divide both sides by 2}\\\\\dfrac{6}{2}=\dfrac{2x}{2}\\\\3=x\to x=3

4 0
3 years ago
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?<br> a 3<br> b 4<br> c 5<br> d 9
Pepsi [2]
The answer would be B) x = 4.

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 = 4.5x - 9 - 1.5x

3 = 3x - 9

3 + 9 = 3x

12 = 3x

12/3 = x

4 = x

x = 4.
7 0
3 years ago
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