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3 years ago

Please help. I will give brainliest +50 points.

Mathematics

2 answers:

Alecsey [184]3 years ago

7 0

Answer:

x = 100°

Step-by-step explanation:

Angle x is vertically opposite to the angle 100°.

<u>According to property of vertical angles, their measures are equal:</u>

x = 100°

Korolek [52]3 years ago

5 0

Answer:

x would be 100

Step-by-step explanation:

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riadik2000 [5.3K]

It would be E.
Pretty simple

7 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

ACT scores have a mean of 21.5 and 26 percent of the scores are above 24. The scores have a distribution that is approximately n

lutik1710 [3]

Answer:

Step-by-step explanation:

7 0

3 years ago

What is the surface area of a 24ft by 16 ft cylinder 288ft2 , 384ft2 , 19ft2 , 672ft2

Viefleur [7K]

The surface area of the cylinder will be 1206.37 square feet.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that the radius of the cylinder is r = 12 ft and the length of the cylinder is 16 ft.

The volume of the cylinder is calculated as:-

V = 2πrl

V = 2 x π x 12 x 16

V = 1206.37 square feet.

Therefore the surface area of the cylinder will be 1206.37 square feet.

To know more about a surface area follow

brainly.com/question/25292087

#SPJ1

4 0

2 years ago

from the top of a barn 25 feet tall, you see a cat on the ground. The angle of depression to the cat is 40°. How many feet must

Tanya [424]

Answer:

21 feet (20.977)

Step-by-step explanation:

1. Draw a picture, it makes it much easier. Draw a right triangle with the vertical labeled 25 and the horizontal labeled X, then label the angle adjacent to the horizontal and hypotenuse 40°

2. Use tangent because X is opposite of 40 and 25 is adjacent to angle 40. the equation would be Tan40/1 = X/25

3. You then cross multiply to get 25Tan(40) = X

4 You then plug it into a calculator and get the full answer of 20.97749078, but I always round up to either 20.98 or 21 feet, whatever your teacher allows

8 0

3 years ago