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galina1969 [7]
3 years ago
6

The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers

. What is the actual distance between these two cities in kilometers?
Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

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Find x.______________a0
velikii [3]

Answer:

x=4

Step-by-step explanation:

Before we find x, we need to set up this triangle a little more. We need to find the triangle's altitude before we can solve for x. We will use the heartbeat method to find the altitude.

Let altitude = y; solve for y:

\frac{2}{y}=\frac{y}{6}

y^2=12

y=\sqrt{12}

y=2\sqrt{3}

Now that we know the altitude, we can use the Pythagorean Theorem to find the hypotenuse (x).

a^2+b^2=c^2

2^2+(2\sqrt{3})^2=c^2

4+12=c^2

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c=4

Since c and x are the same; c is just the hypotenuse in the Pythagorean Theorem.

x=4

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1 point<br> Solve: 0.75 (x + 200) = 150.5 (2 – 28)<br> type your answer...
adelina 88 [10]

Answer:

\huge \: x =  - 5417.33

Step-by-step explanation:

0.75 (x + 200) = 150.5 (2 – 28) \\

<u>Expand the terms and simplify</u>

That's

0.75x + 150 = 301 - 4214 \\ 0.75x + 150 =  - 3913

Subtract 150 from both sides of the equation

0.75x + 150 - 150 =  - 3913 - 150 \\ 0.75x =  - 4063

<u>Divide both sides by 0.75</u>

\frac{0.75x}{0.75}  =  -  \frac{4063}{0.75}  \\ x =  - 5417.333333

We have the final answer as

<h3>x = - 5417.33 </h3>

Hope this helps you

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