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coldgirl [10]
3 years ago
8

Please help with this problem, will mark brainliest

Mathematics
2 answers:
frozen [14]3 years ago
8 0
2/3 x 42 =28
5/12 x 26 = 10.8333
11/15 x 20 = 14.6666
3/8 x 54 = 20.25
Effectus [21]3 years ago
3 0

Answer:

23

15

12

34

Step-by-step explanation:

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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
3 years ago
How many grams are equal to 3,418 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
Inessa [10]

Answer:

3.418 grams

Step-by-step explanation:

please mark me as brainliest

5 0
3 years ago
The feeder in the Example had 16 fl oz of food in it to start. How much food does it<br> have now?
vova2212 [387]

Answer:

i dont know

Step-by-step explanation:

8 0
2 years ago
Select "Rational" or "Irrational" to classify each number.
dalvyx [7]

Answer:

Step-by-step explanation:

0.144 rational

√(0.144)  irrational

√(0.0144)=0.12 rational

8 0
3 years ago
Pls help meh
san4es73 [151]

Answer:

7.1 (7.06 rounded to the tenth)

Step-by-step explanation:

The formula for Area of a Circle is: π·r²

R = Radius

π = pi, or 3.14

As long as you know the formula, this is easy!

In class, you may have already been told that the radius is <em>half </em>of the diameter.

1. Half of 3 ft is 1.5 ft.

2. Plug 1.5 in for r, in your calculator

3. Do the calculation, and you should come out to get 7.06858347058

4. Round it!

Finding area for a circle is satisfying, isn't it? xD

5 0
2 years ago
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