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Talja [164]
3 years ago
14

I’m not sure on how to do this so could you show me step by step?

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

So the circumfrehce of a circle is basically the perimiter of the circle. Let me help with number 1. We need to find the radius. In order to do tuis we divide 6 in half giving us 3. Then we plug in 3 into the circumfrence formula (Pi times the radius multiplied by 2). So it would be 3.14*3*2. The answer for number 1 is 18.85

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Degger [83]
The answer would be 173.55.

Explanation: it just is
4 0
3 years ago
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A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is
Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume V of a solid pyramid can be given as:

\displaystyle V = \frac{1}{3} \cdot b \cdot h,

where

  • b is the area of the base of the pyramid, and
  • h is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be x cm.

  • At the vertice of this pyramid, x = 0 and the length of a side of the square is also 0.
  • At the base of this pyramid, x = 3 and the length of a side of the square is 4 cm.

As a result, the length of a side of the square will be

\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x.

The area of the square will be

\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}.

Integrate the area of the horizontal cross-section with respect to x

  • from the top of the pyramid, where x = 0,
  • to the base, where x = 3.

\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}.

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0
2 years ago
Please help me with my homework.
Blababa [14]

Answer:

-3x + 6

Step-by-step explanation:

-3(x - 2) to find the equivalent of this expression, we need to multiply inside the parenthesis with -3 (with both x and -2)

-3(x - 2 = -3x + 6 (two negative expressions multiplied results in positive)

3 0
3 years ago
Lacie wants to paint her bedroom walls. She gas to cover 1,165.5 square feet. About how many gallons of paint will she need? Gal
DanielleElmas [232]

Answer:

1. 4.66 gallons 2. 2.33 gallons 3. 1.55 gallons

Step-by-step explanation:

1. If her gallons cover is 250 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/250 = 4.66 gallons

2. If her gallons cover is 500 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/500 = 2.33 gallons

3. If her gallons cover is 750 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/750 = 1.55 gallons

4 0
3 years ago
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Diano4ka-milaya [45]

Answer:

i cant see the link try reposting

Step-by-step explanation:

3 0
3 years ago
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