1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
3 years ago
8

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

The new pyramid has a volume that is half the volume of the original pyramid.

Step-by-step explanation:

The volume of a pyramid is given by the following equation:

V = \frac{h*l*w}{3}

In which h is the height, l is the length and w is the width.

Modified volume:

height doubled, length and width cut in half. So

h = 2h, l = 0.5l, w = 0.5w

V_{M} = \frac{2h*0.5l*0.5l}{3} = \frac{0.5*h*l*w}{3} = 0.5\frac{h*l*w}{3} = 0.5V[/tex]

That is

The new pyramid has a volume that is half the volume of the original pyramid.

You might be interested in
Find integra of xlnxdx
Mademuasel [1]

Answer:

\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}

Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

\displaystyle \int x \ln x \:\: \text{d}x

To integrate the given integral, use Integration by Parts:

\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}

\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}

\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2

Therefore:

\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}

Learn more about integration here:

brainly.com/question/27805589

brainly.com/question/27983581

brainly.com/question/27759474

5 0
2 years ago
The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu
Furkat [3]

Answer:

  about 2.47

Step-by-step explanation:

Your calculator will tell you ...

  -\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}

4 0
3 years ago
K(2, 7), L(6, 12), M(13, 13), N(9.8) (Slope Formula) is it a parallelogram?
vredina [299]

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

  • A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
  • A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Learn more about parallelogram

brainly.com/question/19187448

#SPJ9

8 0
1 year ago
What is the percent equivalent of 3/2 using a pattern
olganol [36]
1/2 is 50 percent. if 3/2 is 1/2 X 3, 50 X 3  is equal to 150. 3/2 is 150 percent
6 0
3 years ago
Read 2 more answers
Good afternoon guys and god bless!! does anyone know the answer to this?
SVEN [57.7K]

Answer:

ITS UNDEFINED

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the greatest common factor of 25 and 75​
    15·2 answers
  • Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation
    5·1 answer
  • Is this a true statement, 1/3z + 2/3z * 9 = 9z
    14·1 answer
  • Hey im new , who can show me how to use this ,thanks
    6·1 answer
  • Dylan wants to buy both the tablet and
    14·1 answer
  • Please answer!! will give brainliest
    12·2 answers
  • Find the value of x and y is (3x_6) (12,y-1)​
    5·2 answers
  • How to solve 1/3+1/x=1/5
    11·1 answer
  • Do you know the answer to this
    12·1 answer
  • Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Reid wants to make
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!