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vazorg [7]
3 years ago
10

Mike runs 12.6 miles in 3.5 hours. How fast does he run in miles per hour?

Mathematics
2 answers:
zlopas [31]3 years ago
7 0

ALM not BLM ‏‏‎ ‎‏‏‎ ‎

marishachu [46]3 years ago
7 0

Answer: 3.6 mph

Step-by-step explanation:

  1. Divide both numbers by 3.5 to get 3.6 miles per hour

That's the only step since they give you that much.

More specifically though, we could create an equation.

12.6=3.5x where x is the mph.

Solve the equation by dividing both sides by 3.5 and get the same answer.

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A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degre
mixer [17]

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In the triangle ABC,

\tan 9^\circ=\dfrac{305}{x}

x=\dfrac{305}{\tan 9^\circ}

x=1925.6942

x\approx 1926

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

4 0
2 years ago
if one angle in a pair of vertical angles measures 36degrees and the other measures (2n-8)degrees, which is the value of n ? ple
KiRa [710]

Answer:

n = 22

Step-by-step explanation:

Since they are vertical angles they are the same.

Therefore you can put together this equation:

2n - 8 = 36

Add 8 to both sides

2n = 44

Divide by 2

n = 22

8 0
3 years ago
PLEASE HELP
natulia [17]

Answer:

2

Step-by-step explanation:

As per the interval, x = 1 and y = 5/2

<u>Substitute x into the expression:</u>

3 - 1 = 2

3 0
3 years ago
Fill in the box to make the equation true.<br> 5x + something - 3x=4x
Sveta_85 [38]

Answer: 2x

Step-by-step explanation: because 5+2-3=4

5 0
3 years ago
Read 2 more answers
Consider the following 8 numbers, where one labelled
AlladinOne [14]
<h3>Answers:     x = -17  and   x = 64</h3>

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

Explanation

Consider three scenarios:

  • A) The value of x is the smallest of the set (aka the min)
  • B) The value of x is the largest of the set (aka the max)
  • C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

7 0
2 years ago
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