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Iteru [2.4K]
3 years ago
6

Which fraction goes in the blank to make the comparison true? __________>1/3

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

1/2, 2/3, 3/4, etc

i think thats what you need

Step-by-step explanation:

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Complete the diamond and submit your answer as a file upload.<br> 9<br> -10
Novay_Z [31]

Answer:

-1?

Step-by-step explanation:

4 0
2 years ago
If a = 2.4 units, b = 4 units, c = 6 units, and d = 8 units, what is the volume of the two prisms? plzzzzzzzzzzzzzzzzzzzzz helpp
HACTEHA [7]

Answer:

The answer would be

99.2

7 0
3 years ago
Conveyor belts called grain elevators are used to move grain into a silo. Answer the following questions knowing that the lower
Natalka [10]

From the given information,

a. The length of the belt is 180.28 ft

b. The height of the window from the ground is 100 ft

c. The length of the ramp needed is 141.42 ft

<h3>What is the Pythagorean theorem's formula?</h3>

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the triangle. I.e., (hypotenuse)² = (opposite)² + (adjacent)²

<h3>Calculation:</h3>

It is given that,

The height of the silo is 150 feet

The distance from the belt to the silo is 100 feet

With the given measurements, a right-angled triangle is formed.

a. Finding the length of the belt:

From the diagram,

The height of the silo, sh = 150 ft

The base distance, sb = 100 ft

So, the length of the conveyor belt is the hypotenuse (bh) of the triangle formed.

On applying the Pythagorean theorem,

bh² = sb² + sh²

⇒ bh² = (100)² + (150)²

⇒ bh² = 32500

⇒ bh = √32500 = 50√13

∴ bh = 180.28 ft

Thus, the length of the belt is 180.28 ft.

b. Finding the height of the window from the ground:

It is given that the angle of elevation from the lower end of the belt(b) to a window(w) on the side of the silo is 45°.

This creates a special right-angled triangle. I.e.,

The angles of the new triangle are 90°- 45°. So, the third angle also becomes 45° (Since the sum of angles in a triangle is 180°)

So, the new triangle has angles of 90°- 45°- 45°

Thus, the new triangle is said to be an isosceles right angled triangle.

So, the two legs of the triangle are equal. I.e., sb = sw = 100 ft

Therefore, the height of the window from the ground(sw) is 100 ft

c. Finding the length of the ramp(bw) to the window:

Since we have

sw = 100 ft and sb = 100 ft

On applying Pythagora's theorem,

bw² = sb² + sw²

⇒ bw² = (100)² + (100)²

⇒ bw = √20000 = 141.42 ft

Therefore, the length of the ramp to the window is 141.42 ft.

Learn more about the Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

3 0
2 years ago
What is the sum of the interior angles of the polygon pictured below?
oksano4ka [1.4K]

The shape has 9 sides.

Sum of interior angles = (n-2) x 180, where n is the number of sides.

Sum of interior angles = (9-2) x 180 = 7 x 180 = 1,260 degrees.

3 0
3 years ago
Read 2 more answers
Work out 11.5% of 320
KiRa [710]
11.5/100 (320)
184/5 (decimal:36.8)

hope this helps!
7 0
3 years ago
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