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3 years ago

What is the measure of X ?

Mathematics

2 answers:

patriot [66]3 years ago

4 0

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

viktelen [127]3 years ago

3 0

Answer:

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

5 0

3 years ago

What is |-8|<br> 0-16<br> O 8<br> O 8<br> O 16

tangare [24]

Answer
8

Explanation

The absolute value of a negative number turns into a positive

7 0

2 years ago

Read 2 more answers

Find the surface area.

Margaret [11]

Answer:

1014cm^2

Step-by-step explanation:

find the area of one side and times it by 6 (bc a cube has 6 sides)

13×13=169

169×6=1014

6 0

3 years ago

The question is in the photo

masha68 [24]

Step-by-step explanation:

I think the answer is 3x square multiplied by 1

Coz anything raised to power 0 will always equal to 1

8 0

2 years ago

Please help will give 20 points to right answers (will give brainliest to very first correct answer) Tom walks 3.2 km every morn

nignag [31]

For this case we have the following conversions:
$1 mile = 1,609 km

1 mile = 5,280 feet$
We must apply the conversions to move from kilometers to feet.
We have then:
$(3.2) * (1 / 1,609) * (5280) = 10500.93226
$
Rounding off we have:
10501 feet
Answer:
there are 10501 feet in 3.2 km

6 0

3 years ago