MATHEMATICS MIDDLE SCHOOL

24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is11.5 feet tall and the back wall is 20.2 feet tall. Find the length of the roof line and the depth of the shed from front to back. Round vour answers to the nearest tenth of a foot.

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WILL MARK BRANLIEST

Answers

Answer 1

Answer:

Answer:

Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.

Let $h$ be the length of the roof line. And $b$ the depth of the shed.

We can see it is a right angle triangle with opposite $20.2-11.5=8.7\ feet$ (see the attachment)

Now,

$sin(30)=(Opposite)/(Hypotenuse)\n \nsin(30)=(8.7)/(h)\n\nh=(8.7)/(0.5)\n\nh=17.4\ feet$

Also,

$tan(30)=(Opposite)/(Adjacent)\n\ntan(30)=(8.7)/(b)\n\nb=(8.7)/(tan(30))\n\nb=(8.7)/(0.577)\n\nb=15.07\ feet$

So, Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Answer 2

Answer:

Answer:

17.4 ft

Step-by-step explanation:

Given: Height of front wall is 11.5 ft

Height of back wall is 20.2 ft

Attach is the picture drawn for the question.

First lets find the depth of shed from from front to back wall.

Depth of shed from front to back wall= length of back wall - length of front wall.

∴ Depth of shed from front to back wall= $20.2-11.5= 8.7\ ft$

Now, using sine rule of trignometry to find length of roof line.

We know, $Sin \theta= (Opposite)/(Hypotenous)$

⇒ $sin 30= (8.7)/(hypotenous)$

⇒ $(1)/(2) = (8.7)/(Hypotenous)$

Cross multiplying

⇒ $Hypontenous= 8.7* 2$

∴ Hypontenous= 17.4 feet

Hence, length of roof line is 17.4 ft.

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Whats the area?

PLEASE HELP!!! EMEGENCY!!!

Answers

The area is all the space in a shape.

Area for a polygon is l*w

Area for a triangle is l*w/2

Area for a circle is pi*r^2

Math question down below

Answers

Do 6.5” divided by 5 to find the slope . Then plot each point and

22/100 in simplest form

Answers

Hi there!

22/100 in simplest form would be 11/50, since the LCF of 22/100 is 2 you would divide 22/100 by 2. So, 22/2 is 11, and 100/2 would be 50. So, 22/50 in simplest form would be 11/50

Hope This Helps :)

22/100:

You can actually divided the numerator and denominator by a number that can go into both 22 and 100 but also not get a remainder.

So 22/2= 11

And 100/2=50

Combined you get 11/50

Hope it helps!!!

The area of Asia is about 44,600,000 square kilometers. The area of Europe is about 9.94 x 10^6 square kilometers. What is the combined area of Asia and Europe?a. 1.44 x 10^6 square kilometers

b. 5.454 x 10^6 square kilometers

c. 1.44 x 10^7 square kilometers

d. 5.454 x 10^7 square kilometers

Answers

Answer:

d. 5.454 x 10^7 square kilometers

Step-by-step explanation:

Adding 4.46×10^7 to 0.994×10^7 we get 5.454×10^7.

___

Before you can add numbers in scientific notation, they must both have the same multiplier. Here, we can see that the area of Asia will be written with an exponent of 7, so we choose to write both numbers that way.

44,600,000 = 4.4×10,000,000 = 4.4×10^7

9.94×10^6 = (0.994×10)×10^6 = 0.994×10^7

The sum is (4.400 +0.994)×10^7 = 5.454×10^7.

Combined area is 5.454 × 10^7 km²

Step-by-step explanation: