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liberstina [14]
3 years ago
12

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other cor

ner diagonally across. What is this distance?
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

150

Step-by-step explanation:

If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 90. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.

90^2 + 120^2 = c^2

c=150

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Helga [31]

Answer:

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Step-by-step explanation:

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3 years ago
According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What
taurus [48]

Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

\tan x=\frac{perpendicular}{base}

i.e. \tan x=\frac{1}{12}

i.e. \tan x=0.0833

i.e. x=\arctan 0.0833

i.e. x = 4.8°

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3 years ago
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adelina 88 [10]

Answer:

look below

Step-by-step explanation:

I'll go in order from top to bottom

5\frac{2}{3}

1\frac{5}{9}

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6\frac{1}{3}

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3 years ago
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aleksandrvk [35]

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3 years ago
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Does anyone know how to solve |4x+3|-9<5
elixir [45]

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

6 0
3 years ago
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