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dem82 [27]
3 years ago
11

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

The circumference of the circle is 144.4 yards

Step-by-step explanation:

The circumference of a circle is C = 2πr, where

  • r is the radius of the circle
  • π is a constant ratio between the circumference of the circle and its diameter and its value is approximately 3.14

∵ The radius of a circle is 23 yards

- Use the rule above to find its circumference

∵ C = 2πr

∴ C = 2π(23)

∵ π ≅ 3.14

∴ C = 2(3.14)(23)

∴ C = 144.44 yards

- Round it to the nearest tenth

∴ C = 144.4 yards

The circumference of the circle is 144.4 yards

Learn more:

You can learn more about the circle in brainly.com/question/1952668

#LearnwithBrainly

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Which is the equation in slope-intercept form for the line that passes through (3, 7)
quester [9]

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

6 0
3 years ago
How would I do 4x+45=3x+61
Pavel [41]

Answer:x=16

Step-by-step explanation:

4x+45=3x+61

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4x-3x=61-45

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7 0
3 years ago
Read 2 more answers
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 37
nadezda [96]

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

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