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Andru [333]
3 years ago
14

The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro

portionality? A. 12 B. 24 C. 46. D. 48

Mathematics
1 answer:
anastassius [24]3 years ago
5 0
Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point (2, 48) on this graph and solve for the constant of proportionality:
2a=48
We easily solve that and get our answer of a=24. (B)

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Determine the complement and/or supplement of each angle. If it is not possible, explain.
Alecsey [184]

Answer:

  • complement: 32.8°
  • supplement: 122.8°

Step-by-step explanation:

The sum of an angle A and its complement C is 90°:

  A + C = 90°

  C = 90° -A . . . . . subtract A from both sides.

That is, the complement of an angle is found by subtracting the angle from 90°.

__

The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.

  A + S = 180°

  S = 180° -A = 90° +(90° -A)

__

For the given angle, the complement is ...

  C = 90° -57.2° = 32.8°

And the supplement is ...

  S = 180° -57.2° = 122.8°

_____

<em>Additional comment</em>

We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV

3 0
2 years ago
What is the circumference of a circle with a radius of 5.4 inches? Enter your answer as a decimal in the box. Use 3.14 for pi. R
LenKa [72]
Hi there! The formula for circumference is π * diameter. Diameter is the length across the circle and twice the length of the radius.The radius is 5.4, so we will multiply that by 2 to get 10.8. The diameter is 10.8 inches. Now, multiply that numebr by 3.14 to find the circumference. 10.8 * 3.14 is 33.912 or 33.9 when rounded to the nearest tenth. There. The circumference is approx. 33.9 inches.
7 0
3 years ago
Read 2 more answers
What is the slope of y=2x-6
Korvikt [17]
The slope is 2x. In other words 2/1
5 0
3 years ago
How can you add 3over 10 and 2over5
otez555 [7]

Answer:

7/10

Step-by-step explanation:

3/10+2/5

You have to make like denominators

So you multiply 2/5 by 2 since 1/ is the common denominator.

Then you add them

Hope this helped

6 0
3 years ago
Read 2 more answers
Ignore that bottom but help pleaseee
NNADVOKAT [17]
The answer is 49 because it is
7 0
2 years ago
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