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lys-0071 [83]
3 years ago
7

PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best appro

ximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed
Mathematics
2 answers:
Ivan3 years ago
7 0

Answer:

24 feet cubed

Step-by-step explanation:

<u>Volume formula:</u>

  • V cylinder = Bh
  • V cone = 1/3Bh

<u>The ratio:</u>

  • V cylinder / V cone = Bh ÷ 1/3Bh
  • V cylinder / V cone = 3 ÷ 1

<u>Plugging in the value of cylinder to find the value of cone:</u>

  • 72 ÷ x = 3 ÷ 1
  • x= 72 ÷ 3
  • x= 24 ft³

24 feet cubed is the best estimate

solong [7]3 years ago
3 0

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

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A rectangle is 8 feet long.its width is represented by Seven plus x feet what expression
babunello [35]
Hi there! The answer is 56 + 8x square feet

The length of a rectangle is 8 feet.
The width of that rectangle is 7 + x feet.

We can find the area of the rectangle by using the formula A = L x W
(Area = Length x Width)

Filling in this formula gives us:
A = 8 (7 + x) = 56 + 8x square feet
3 0
4 years ago
Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(
Mumz [18]
The given equations are
x(t+1)-4t \sqrt{x} =9            (1)
2y+4y^{3/2}=t^{3}+t           (2)

When t=0, obtain
x=9 \\ 2y+4y^{3/2}=0 \,\,=\ \textgreater \ \, y(1+2 \sqrt{y} )=0 \,=\ \textgreater \ \,y=0

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means \frac{dx}{dt}.

Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1 
y'(0) = 1/2.
Here, y' means \frac{dy}{dt}.

Because \frac{dy}{dx} = \frac{dy}{dt} / \frac{dx}{dt}, obtain
\frac{dy}{dx} |_{t=0}\, =  \frac{1/2}{3}= \frac{1}{6}

Answer:
The slope of the curve at t=0 is 1/6.



3 0
3 years ago
a jar contain 50 marbels of which is blue or red if 35 of marbels are red which of the following does not represent the ratio of
iris [78.8K]
35 = red

35 : 50 = 7 : 10

the ratio is should be 7 out of 10
6 0
3 years ago
F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
3 0
3 years ago
4 Eric sketches a rectangle with a perimeter of
natka813 [3]

Answer:

<em>2(x) + 2(x + 3) = 90 </em>

Step-by-step explanation:

Width: x inch.

Length: (x + 3) inch.

P = 2 w^{} + 2 l^{}

P = <em>2(x) + 2(x + 3) = 90</em>

7 0
3 years ago
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