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lara [203]
3 years ago
14

The perimeter of the semicircle is 25.71 cm. Calculate the value of radius x. Take pi to be 3.142

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

5 cm

Step-by-step explanation:

Perimeter of semicircle =  \frac{1}{2}  \times 2\pi \: x +2x\\ 25.71 = 3.14 2\times x+ 2x\\ 25.71 = 5.14 2 x\\ x =  \frac{25.71}{5.142}  \\ x = 5  \: cm

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8 0
3 years ago
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel
MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

x=4y-----> equation A

x=y+6 ----> equation B

Equate equation A and equation B

4y=y+6

solve for y

4y-y=6

3y=6

y=2

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

x=4(2)=8\ years

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therefore

Kevin's age is 8 years

6 0
3 years ago
n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,
Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

A = Pe^{rt}

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

A=2400 e^{0.0168\times 20}

=2400 e^{0.336}

= 3358.4136

\approx 3358

6 0
3 years ago
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