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Otrada [13]
2 years ago
9

The diameter of a circle is 55 inches.

Mathematics
2 answers:
Papessa [141]2 years ago
7 0

Answer:

27.5 inches

Step-by-step explanation:

The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter<em> (55 inches) </em>into two.

  • 55 inches ÷ 2 = 27.5 inches

Therefore, the circle's distance from the center towards the circumference is <em>27.5 inches.</em> This is the radius.

Galina-37 [17]2 years ago
6 0
The radius would be 8.75
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2. Determine if either of the following equations are functions? Draw the graphs and explain how
nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

y=-\dfrac{3}{5}x+2

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function y=-\dfrac{3}{5}x+2 with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

y=x-x^2

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function y=x-x^2 with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

4 0
3 years ago
Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

x \leq -21

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

5 * (x + 27) \geq 6 * (x + 26)

Required

Determine the solution set

5 * (x + 27) \geq 6 * (x + 26)

Open Both Brackets

5 * x + 5 * 27 \geq 6 *x + 6 * 26

5x + 135 \geq 6x + 156

Collect Like Terms

5x - 6x \geq 156-135

- x \geq 21

Multiply both sides by -1

x \leq -21

Hence, the solution set is x \leq -21

7 0
3 years ago
Jason worked 20 hours at $5 per hour and 30 hours at $6 per hour. What was his average hourly wage Please show all your work
11111nata11111 [884]

Jason worked 20 hours at $5 per hour and 30 hours at $6 per hour.

20 hours at $5 per hour = 20 times 5

20 \times 5 = \$100

30 hours at $6 per hour = 30 times 6

30 \times 6 = 180

180 + 100 = 280

He earned $280 in 50 hours. Divide:

280 \div 50 = 5.6 \rightarrow 5.60

Your answer is the last choice, $5.60

8 0
3 years ago
Write the Recursive form and next of the following sequence<br><br>8,10,12,14,16...
Serggg [28]

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

5 0
3 years ago
What is the value of x
slega [8]

Answer:

54

Step-by-step explanation:

A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:

x° = 90° -36° = 54°

The value of x is 54.

3 0
3 years ago
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