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nekit [7.7K]
3 years ago
15

Please help me!! Use synthetic division

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
I believe the 3rd one
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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
Suppose a dog can run 60 feet in 8 seconds. A cat can run 35 feet in 5 seconds. Which animal can run faster
Alika [10]

60/8 = 7.4. The dog is faster.  35/5 = 7

6 0
3 years ago
Max wrote the number 0.785. After multiplying his number by a power of 10, he arrived at the number 7,850.0. What power of 10 di
kondaur [170]

Answer:

10 to the 4th power

Step-by-step explanation:

the decimil point was moved four spaces to the right resutiong to the 4th power.

6 0
2 years ago
I’m the triangle shown below what is the approximate value of x
Dafna1 [17]

Answer:

The answer is choice B: 22.52 units.

Step-by-step explanation:

We use the Pythagoras's theorem which says for a right triangle with sides x,y and hypotenuse z:

x^2+y^2=z^2.

In our case

z=26

y=13

So we solve for x:

x=\sqrt{z^2-y^2}=\sqrt{26^2-13^2}  =\boxed{22.52\: units.}

Which is choice B.

8 0
3 years ago
Sara and Jon each ordered a medium pizza. Sara ate 3/8 of her pizza for lunch and 1/4 for a snack. Jon ate 1/2 of his pizza for
Tema [17]
Jon ate 1/8 more of the pizza.

8 0
3 years ago
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