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3 years ago

Can someone please help me out! and please explain your answer, and how you got it right! thank you so much!

Mathematics

1 answer:

Contact [7]3 years ago

8 0

It is

$24x - 30$

The equation for area of a trapezoid is

$\frac{1}{2} (a + b) \times h$

Substituting our values in

$\frac{1}{2} (3x + 7 + 5x - 3) \times 6$

We can then simplify the expression

$\frac{1}{2} (8x - 10) \times 6 \\ (4x - 5) \times 6 \\ 24x - 30$

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

3 years ago

For her phone service, Lisa pays a monthly fee of $27, and she pays an additional $0.05 per minute of use. The least she has bee

Sergio [31]

The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:

27 + 0.05m >= 90.70

Now we can solve this equation for m.

27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274

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3 years ago

Need help with math 15 points

pantera1 [17]

Answer:

Which aspect of government does the United States have in common with the Roman Republic? Two consuls run the executive branch. Senators are elected into office for life.Which aspect of government does the United States have in common with the Roman Republic?

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3 years ago

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Solve for r.<br> 4r – 39 > -43<br> AND 8x + 31 < 23

Vsevolod [243]

Answer:

$4r-39>-43$