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Sladkaya [172]
3 years ago
13

By what percentage must the diameter of a circle be increased to increase its area by 50%?

Mathematics
2 answers:
Ksju [112]3 years ago
7 0
The area is to be increased by 50%.

Area of the circle is given by: A = πr²

New Area = A' = A + 50% of A = 1.5 A 
Let the new radius be R.

So, we can say:

A' = πR² = 1.5 πr²
⇒

R² = 1.5r²
⇒
R = √1.5 r

This shows that the radius must be increased to square root of 1.5 times to increase the Area by 50%.

Diameter is the twice of radius, so the change in diameter will also be the same i.e square root of 1.5 times.

So, diameter must be made 1.225 times. In percentage this can expressed as 22.5%.

Hence, the answer to this question is 22.5%
katovenus [111]3 years ago
5 0
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of  sqrt 1.5 = 1.2247

Answer is 22.47 %
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You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1.  This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
P(x=k) = (nCk) p^k (1-p)^{n-k}

n = 11
k = 10,11
p = 1/2

P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\  \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\  \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\  \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}
4 0
3 years ago
2/5 - 1/4 show your work
Natali [406]

2/5-1/4

8/20 - 5/20

(8-5)/20

= 3/20


I hope that's help ! if you have question please ask

6 0
3 years ago
Read 2 more answers
Plz answer this and explain how
Dahasolnce [82]

Answer:

Option H, π/3 and 2π/3

Step-by-step explanation:

sin x = sqrt(3) / 2

<em>It happens at 60 degrees and 120 degrees.  In radians, it is π/3 and 2π/3</em>

<em />

Answer:  Option H, π/3 and 2π/3

8 0
3 years ago
What is the product of -1 3/8 and 2 4/5
DanielleElmas [232]
All you have to do is change the fractions to improper fractions and multiply it acrossed, then simplify.

-3 17/2
7 0
3 years ago
Okay here is the math problem..
Daniel [21]
Each hamburger weighs 1/4 lbs. 
Work:
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4 0
3 years ago
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