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crimeas [40]
3 years ago
5

What happens to the volume of a square pyramid if the base dimensions remain the same, but the height is cut to one third of the

original?
The volume becomes 1/9 of original.

The volume becomes 1/3 of original.

The volume becomes 3 times larger than original.

The volume becomes 9 times larger than original.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
The volume becomes 1/3 of the original. With a rectangular base, volume of a pyramid is V=(length*width*height)/3. Cutting the height to 1/3 of the original length will make the total volume 1/3 of the original volume.
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The slope of the line below is -4. Which of the following is the point-slope
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y+2= -4(x-8)

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The table shows ordered pairs for a polynomial function, f. What is the degree of f?
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5th degree

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4 0
3 years ago
Let z = ln(x 2 + y), x = ret . and y = ter . Use the Chain Rule to compute ∂z ∂r and ∂z ∂t at the point where (r, t) = (1, 2).\
Natali [406]

By the chain rule,

\dfrac{\partial z}{\partial u}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial u}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial u}

where u\in\{r,t\}.

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\dfrac{\partial z}{\partial x}=\dfrac{2x}{x^2+y}=\dfrac{2re^t}{r^2e^{2t}+te^r}

\dfrac{\partial z}{\partial y}=\dfrac1{x^2+y}=\dfrac1{r^2e^{2t}+te^r}

\dfrac{\partial x}{\partial r}=e^t

\dfrac{\partial x}{\partial t}=re^t

\dfrac{\partial y}{\partial r}=te^r

\dfrac{\partial y}{\partial t}=e^r

Putting the appropriate pieces together and setting (r,t)=(1,2), we get

\dfrac{\partial z}{\partial r}(1,2)=\dfrac{2e^3+2}{e^3+2}

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3 0
3 years ago
marian went shopping and brought clothes for $56.17 and books for $44.98 she than had a meal at the mall for $21.15 whats the be
Mariulka [41]
Hello!

Marian bought clothes for $56.17. This can be rounded to $56.

Marian bought books for $44.98. This can be rounded to $45.

Marian had a meal at the mall for $21.15. This can be rounded to $21.

Add them up:

56 + 45 + 21 = 122

ANSWER:

The best estimate for the cost of Marian's trip is $122.00.
6 0
4 years ago
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