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3 years ago

Paco deconstructs this isosceles trapezoid to find the area.

Mathematics

2 answers:

Lina20 [59]3 years ago

6 0

It would be the second one!!!

8090 [49]3 years ago

3 0

I’m pretty sure it is the second one
Hope this helps

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A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

3 years ago

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From 126 ounces to 48 ounces nearest percent

lianna [129]

That is a decrease of 78 ounces

5 0

3 years ago

Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. T

Sophie [7]

Where is the box plot?

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3 years ago

Saba used synthetic division to divide a polynomial f(x) by x + 1, as shown. What is the value of f(-1)?

goldfiish [28.3K]

I tried my best on this even though i'm not 100% sure but im guessing its just gonna stay the same as -1.

5 0

3 years ago

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Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

8 0

3 years ago