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Schach [20]
2 years ago
7

What is the root number of 121?

Mathematics
1 answer:
Rom4ik [11]2 years ago
3 0

Answer:

11 is the root of 121 ........

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Miguel runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes
Karo-lina-s [1.5K]
You can write this in a proportion way: 6/55 = x/44.
Multiply both sides by 11 to get rid of the 55 and 44: 6/5 = x/4
Now, multiply both sides by 20: 5x = 24. x = 4.8

Therefore, he can run 4.8 miles in 44 minutes.
8 0
3 years ago
Read 2 more answers
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an
ch4aika [34]

9514 1404 393

Answer:

  50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

  x = 2(25 ft)

  x = 50 ft . . . . . distance a person travels

7 0
2 years ago
Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

4 0
3 years ago
a shoe box in the shape of right rectangular prism has base that mesure 7 inches and is 5 inches high what is the volune of the
Andrew [12]

Answer:

35

Step-by-step explanation:

If the base is 7 that would be the length times width and then you multiply that by 5 which gets you 35.


7 0
3 years ago
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