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3 years ago

12

Choose the linear inequality in standard form for this situation: The Duluth High science department can spend no more than $270

0 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

1 answer:

spin [16.1K]3 years ago

8 0

Answer:

.

Step-by-step explanation:

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

We know that height of sphere is equal to its radius. This means that $r=h$ .

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$

$\text{Volume of cylinder}=\pi r^2 h$

Using $r=h$ , we will get:

$\text{Volume of cylinder}=\pi r^2\cdot r$

$\text{Volume of cylinder}=\pi r^3$

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

$\pi r^3=21$

$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

$\frac{4}{3}\pi r^3=28$

Therefore, the volume of the sphere would be 28 cubic meters.

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3 years ago

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Photo above need help

Ira Lisetskai [31]

Answer:

m = 0

Step-by-step explanation:

<u>If two lines are parallel, their slopes are equal. </u>

The slope of x - axis is 0

(why?)

because, slope of a line is given by

$\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}$

Θ is the angle made by the line with the x- axis.

Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.

=> Θ = 0

=> tan Θ = 0

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and the line in blue is parallel to the X- axis, therefore, it's slope is also 0

(also, a line makes an angle of 0° with the line it's parallel to)

<u> </u>

$\mathfrak{\overline{There\:You\:Are!}}$

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Natalija [7]

I think that it is the first line. I am not really sure what the question is asking so I may be wrong. Sorry if I can’t help

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What would the answer be

Mrac [35]

Answer:

(x,y) (2,-1)

Step-by-step explanation:

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Mr Thompson please answer. This is hw that is for mathematics Algebra.

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