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Mekhanik [1.2K]
3 years ago
7

The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference

of the circle is approximately 15.7. What is the approximate circumference of a circle with a diameter of 9? Round answer to nearest tenth.
Mathematics
2 answers:
Naya [18.7K]3 years ago
5 0

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

mojhsa [17]3 years ago
5 0

Answer: 28.3

Step-by-step explanation:

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Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

         =-\frac{0}{2(\frac{1}{4})}

         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

    =-5

5). Minimum (0,-5) ∴ f(x)\ge-5

4 0
4 years ago
What is the slope of the line through (-5, -3) and (-5, -7)?
Paul [167]

Answer:

The answer is undefined.

Step-by-step explanation:

Slope is found using this equation: y-y1/x-x1. Fill in the coordinates to this equation. It should now look like this. -7--3/-5--5. When subtracting from two negatives, it changes into a positive. For example, -7--3 becomes -7+3, which equals -4. The same thing applies for the second part. -5--5 becomes -5+5, which equals 0. So, your slope is -4/0. However, when a 0 is in the denominator, it becomes undefined. So, the answer is undefined.

5 0
3 years ago
John and Elijah are both driving from New York City to Richmond. John leaves
alina1380 [7]

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

3 0
2 years ago
Questions From the table shown:
torisob [31]

Answer:

Someone help me with this question

Step-by-step explanation:

4 0
3 years ago
A group of friends on a camping trip has 3 2/5 lb of trail mix. They divide it up evenly among themselves. Each person gets 1/5
Helen [10]

There are 17 friends. Just make it an improper fraction and VOILA! you get your answer.

5 0
3 years ago
Read 2 more answers
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