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Archy [21]
1 year ago
12

What is the circumference of a circle with a diameter of 45 centimeters?

Mathematics
2 answers:
madam [21]1 year ago
6 0
Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.
zysi [14]1 year ago
3 0
It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.
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Alice has seven times the amount of pens that Maurice has. Paul has two-thirds of the amount of pens as Alice and Suzy have comb
zepelin [54]

Answer:

Dawn has 32 pens.

Step-by-step explanation:

  • Let No. of pens Alice has = A
  • Let No. of pens Maurice has = M
  • Let no of pens Paul has = P
  • Let no. of pens Suzy has = S
  • Let no of pens Dawn has = D

Given :

  • A = 7M
  • P = 2/3 (A + S)  
  • D = P + 12
  • S = 1/2 M
  • If S = 2 {Given}
  • M = 4    [∵ S = 1/2 M → M = 2S = 2X(2) ]
  • A = 28  [ ∵ A = 7M → A = 7 x 4 ]
  • P = 20  [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
  • D = 32  [ ∵ D = P + 12 → D = 20 + 12 ]

5 0
1 year ago
What is the quadratic regression equation that fits these data?
Tresset [83]

Answer:

the answer is a.

Step-by-step explanation:

I plugged your data into a graphing calculator, and got a quad reg in the picture.

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1 year ago
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Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum
Korolek [52]

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.

Lets assume  x points she earn per library

She earns 4 more points  for museum than  library.

4 more points per museum per x .  so the points earned per museum is x+4

she earned 179 points from 11 museums and 4 libraries.

So the equation becomes

11 (x+4) + 4x = 179

11x +44 + 4x = 179

15x + 44 = 179 ( subtract 44 from both sides)

15x= 135 (divide by 15 from both sides)

x = 9

She earns 9 points per library

We know points per museum = x+4 = 9+4 = 13

She earns 13 points per museum .

5 0
2 years ago
Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?
faust18 [17]
Use this property of logarithms:

\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y

Your equation transforms into:

log_4\left(\dfrac{x^2+3x}{x+5}\right)=1

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

\dfrac{x^2+3x}{x+5} = 4^1

In case you don't remember, this is the definition of a logarithm:

\log_b x = y \iff b^y = x

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)
\iff x^2-x-20=0
\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.

The correct answer is d.
5 0
2 years ago
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