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Arisa [49]
1 year ago
14

The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular

cone with half the radius and twice the height of the first cone
Mathematics
1 answer:
mrs_skeptik [129]1 year ago
3 0

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

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-7x - 4y = -4 find the slope and y intercept of the line
ki77a [65]

Answer:

The slope is -7/4 and the y intercept is 1

Step-by-step explanation:

-7x - 4y = -4

Put the equation in slope intercept form and solve for y

y = mx+b where m is the slope and b is the y intercept

Add 7x to each side

-7x - 4y+7x =+7x -4

- 4y =7x -4

Divide by -4

-4y/-4 = 7x/-4 -4/-4

y = -7/4 x +1

The slope is -7/4 and the y intercept is 1

3 0
2 years ago
It’s problem #2<br><br> Write an equation for the line in the slope-intercept form.
vitfil [10]

Answer:

y=3/4x + 4

Step-by-step explanation:

  • slope intercept form is y=mx+b
  • get two points on the graph which are (4,6) and (8,9)
  • use the formula y2-y1/x2-x1
  • 9-6/8-4
  • 3/4 that will be the m because it's the slope
  • use 4 as your y intercept since that's when it crosses the y-axis
  • insert these numbers in the formula
  • y=3/4x + 4

3 0
3 years ago
A class is putting ornaments on a Christmas tree.
eimsori [14]

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

5 0
2 years ago
A sea horse riding travels an average of 0.01 miles per hour. At that rate , how fast can a sea horse travel in 2.4 hours?
kondaur [170]
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:

0.01 miles / 1 hour = x miles / 2.4 hours

The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:

0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours

0.024 miles would be the answer.
5 0
3 years ago
Read 2 more answers
What is the distance between (-6,4) and (-8,6)? Choose 1 answer:
lukranit [14]

Answer:

D

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

d=\sqrt{(-8-(-6))^2+(6-4)^2

Evaluate:

d=\sqrt{(-2)^2+(2)^2

Evaluate:

d=\sqrt{4+4}=\sqrt{8}

Hence, our answer is D.

6 0
3 years ago
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