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andre [41]
2 years ago
15

Jasmine launches a model rocket from a cliff. The rocket goes up 16.8 feet above the cliff, then it drops 28.1 feet into the oce

an below.
Mathematics
1 answer:
ikadub [295]2 years ago
3 0

Answer:

1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation

Tryna cheat off the I-ready diagnostics huh

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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
Please help! Will mark the brainliest!
dimaraw [331]
(f+g)(5)=33 is the answer
3 0
3 years ago
HELP 20 POINTS!! Where is point A on the number line?
Bingel [31]

Answer:

3 1/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Trigonometry help please
Taya2010 [7]

Answer:

a rectangular field.The length of rectangular field is three times the breadth of the field. If the area of the path is 500 m square ,then find the length and breadth

8 0
3 years ago
Pls help and thank you!
lyudmila [28]

Answer:

0.052 acre/min

Step-by-step explanation:

6 1/4 acres   /   2 hours   times the conversion factor   (1 hr   /   60 min)  comes out to:


6.25

----------------- = 0.052 acre/min

2 (60 min)

---------


8 0
3 years ago
Read 2 more answers
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