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kolbaska11 [484]
3 years ago
9

If one plane is flying at 40mph. While another is flying at 100mph. They are 200 miles apart, how long will it take them to coll

ide if they are going in the same direction
Mathematics
1 answer:
Paha777 [63]3 years ago
6 0

Answer:

1 and 3/7 hour

Step-by-step explanation:

Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.

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The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
Find all the real square roots of <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-9%7D%7B16%7D%20" id="TexFormula1" title=" \fra
svet-max [94.6K]
Since -\dfrac9{16} is negative, it doesn't have any real roots.
6 0
3 years ago
What is the square root of 54 that lies between
Bad White [126]
Find the square numbers and see which ones 54 lies between
1, 4, 9, 16, 25, 36, 49, 64.
It lies between the two square numbers 49 and 64.
But you want the square root.
So find the square root of 49 and 64.
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So the square root of 54 is between 7 and 8.
Hope this helps. 
4 0
3 years ago
What is the volume of the prism?
jolli1 [7]
V=a*b*c, a=(2+1/2), b=(2+1/2), c=(6+1/2)
V=(2+1/2)*(2+1/2)*(6+1/2) = 15/2 = 7+1/2
(seven whole and one second)
7 0
2 years ago
Read 2 more answers
What is the reciprocal of 4 5/8
Andrei [34K]

Answer:

8/45

Step-by-step explanation:

Write 4 5/8 as an improper fraction:  45/8.

Then invert this result, obtaining:

 .  This is the "reciprocal" of 4 5/8.

5 0
3 years ago
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