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3 years ago

A cube with a surface area of 24 square centimeters is shown.

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Answer:

648 cu. cm

Step-by-step explanation:

27*24=648. 24sq. cm. 27cu.cm

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Cheese costs $4.20 per pound. If Ms.Rivera spent $6.30 on cheese, how many pounds did she buy? A. 15 B. 10.5 C. 1.05 D. 1.5

hammer [34]

The answer is 1.5(d)

work:
6.30/4.20=1.5

:D

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3 years ago

Use the rectangle hexagon with side length 10 meters to fill in the missing information

Vlada [557]

Answer:

$A_h=150\sqrt{3}\ m^2$

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

$x=5 m$

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

$\theta=360/12=30^o$

Now we have $\theta$ , the height of the triangle y is easily found by

$\displaystyle tan30^o=\frac{x}{y}$

Solving for y

$\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}$

The value of z can be found by using

$\displaystyle sin30^o=\frac{x}{z}$

$\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10$

The area of the triangle is

$\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}$

The area of the hexagon is 12 times the area of the triangle, thus

$\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}$

$\boxed{A_h=150\sqrt{3}\ m^2}$

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4 years ago

Complete the table of values and sketch the graph of y = -3(2) x

bekas [8.4K]

X Y
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-2 12
-1 6
0 0
1 -6
2 -12

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3 years ago

Brodie plans to ride his hoover board to a Xaiver's house which is 2 miles away. If the

Anna35 [415]

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

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3 years ago

olganol [36]

Answer:Thomas Edison was an amazing inventor.

Step-by-step explanation:

the best option and got 100

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3 years ago