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Nat2105 [25]
3 years ago
12

the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers

. what is the actual distance between these two cities in kilometers?
Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

\frac{1}{20} = \frac{3.5}{x}

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

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What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º
Shtirlitz [24]

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

5 0
2 years ago
Sarah bought a pair of shoes that were $64 but we’re on sale for $46 sales tax is 6% how much does she pay for the shoes
madreJ [45]

Answer:

43,24$

Step-by-step explanation:

46$ — 100%

x$  — 6%

46 · 6/100

2,76$

46$ - 2,76$ = 43,24$

I don't know if this helps

5 0
3 years ago
A homeowner is designing a rectangular pool for her backyard. Due to the size of the yard, the width of the pool will be one-thi
Stels [109]

Answer:

Step-by-step explanation:

7 0
4 years ago
PLEASE SEND HELP ASAP
fredd [130]
The denominator cannot be 0 so

6x+24≠0
6x≠-24
x≠-4

7 0
3 years ago
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Answer:

A

Step-by-step explanation:

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