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4 years ago

15

How can the name of a prism or a pyramid help you visualize the cross sections of the solid?

2 answers:

stira [4]4 years ago

7 0

Answer:

If you have a pyramid, you know the it's made of a triangle. If you have a prism with the name beginning with square base, then you know it's going to start with a square.

Step-by-step explanation:

inysia [295]4 years ago

4 0

For example a square base pyramid has a square base so you can visualise the cross sections easily. Another example is a triangular prism, you can visualise the sections

Hope this helps kind off :)

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The function f(x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2,–1)} Which equation is true? f of ne

Rudik [331]

Answer:

f(0)=6

Step-by-step explanation:

When representing function's values by set of ordered pairs, the first one correspond to the x value and the second to the image or "y" value.

When you read f(0) means "when x is 0" then the 6 is the value of the function or the image.

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3 years ago

Read 2 more answers

Your company is introducing a fruit drink packaged in an aluminum box with a square

solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

$S=x^2\Rightarrow x=\sqrt{S}$

The volume of the box is

$V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}$

The surface area of the box is

$SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}$

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

$SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}$

Equate this derivative to 0:

$2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}$

So, the dimensions that produce a minimum surface area for this aluminum box are:

$x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.$

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3 years ago

What is the y-intercept of a line that has a slope of 1/4 and passes through point 8,3

IrinaVladis [17]

m=1/4
(8,3)

Slope intercept form

$\\ \sf\longmapsto y=mx+b$

$\\ \sf\longmapsto 3=\dfrac{8}{4}+b$

$\\ \sf\longmapsto b+2=3$

$\\ \sf\longmapsto b=3-2=1$

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3 years ago

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Pleaseeee help I need a answer fast

andre [41]

Answer:

300

Step-by-step explanation:

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3 years ago

Which set of graphs can be used to find the solution set to 3 log2(x + 4) < 6?

alexgriva [62]

Answer:

It's graph D

Step-by-step explanation:

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3 years ago