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Nastasia [14]
3 years ago
15

What is the exact circumference of a circle with a radius of 15 cm? Answers: A. 60cm B. 30cm C. 15cm D. 10cm

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0
r=15cm\\\\circumference:2\pi r\\\\2\pi r=2\pi\cdot15cm=30\pi cm
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irakobra [83]

when x = 8

9(8) - 5

72 - 5 = 67

5 0
3 years ago
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Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Virty [35]

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

7 0
3 years ago
A LINE SEGMENT IS 5 INCHES MORE THAN FOUR TIMES THE LENGTH OF ANOTHER. THE DIFFERENCE IN THEIR LENGTHS IS 35 INCHES. HOW LONG AR
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One line segment is 10 cm and the other one is 45 cm


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6 0
3 years ago
Determine the equation of the line with slope 3/4 passing through the point 4,0
Vitek1552 [10]

Answer:

y = \frac{3}{4}x - 3

Step-by-step explanation:

If it has a slope of 3/4, then it will look like this:

y = \frac{3}{4}x + b

If it passes through (4, 0), than y = 0 when x = 4

y = \frac{3}{4}(4) + b

y = 3 + b

b = -3

Therefore, the equation is y = \frac{3}{4}x - 3.

8 0
3 years ago
A bulletin board has a perimeter of 200 inches. Which expression expresses the area A(w) of the bulletin board as a function of
mr Goodwill [35]

Answer:

area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-w^{2}

Step-by-step explanation:

  • let, the shape of the bulletin board is a rectangle,
  • then the perimeter of it = sum of all sides

= 2[length+width] = 2[l+w]

(let l: length, w : width )

  • so, 200 = 2[l+w]

100= l+w ( dividing both the sides by 2)

so, l= 100-w

  • area = length*width=l*w=[100-w]*w
  • therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-w^{2}
6 0
3 years ago
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