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3 years ago

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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BigorU [14]

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4 years ago

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A long distance phone company charges $1.01 for the first 25 minutes of a call, then $0.09 for each additional minute. A call co

Shkiper50 [21]

You will have to form the equation:

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4 years ago

water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.if the volume of the reservoir is 108m cube,

cricket20 [7]

Answer:

<u>30 hours</u> it will take to fill the reservoir.

Step-by-step explanation:

Given:

Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.

The volume of the reservoir is 108 m³.

Now, to find the number of hours it will take to fill the reservoir.

As given the rate is liters per minute so we convert the volume into liters:

1 m³ = 1000 liters.

Thus, 108 m³ = 1000 × 108 = 108000 liters.

So, the volume of reservoir = 108000 liters.

And the rate of water pouring down = 60 liters per minute.

Now, to get the number of hours to fill the reservoir:

$\frac{volume\ of\ reservoir}{rate\ of\ water\ pouring\ down}$

$=\frac{108000}{60}$

$=1800\ minutes.$

Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:

$\frac{1800}{60}$

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4 years ago

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Delvig [45]

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3 years ago

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Find the shaded area of the figure. Please help would really appreciate it

Alisiya [41]

<h3>Answer: 120 square cm</h3>

==========================================================

Work Shown:

Let,

A = area of unshaded rectangle (the 6 by 10 rectangle)
B = area of the unshaded triangle (that has the "8 cm" inside it)
C = area of parallelogram
D = shaded area = C - (A+B) = C - A - B

We can see that A = 60 since the rectangle has base 10 and height 6, so 10*6 = 60.

The upper horizontal part of the parallelogram is 10+8 = 18 cm long. This means the bottom horizontal part of the parallelogram is the same length. The bottom portion shows 9 cm until we reach the triangle. This means that 18-9 = 9 cm is the base of the unshaded triangle (that has the "8 cm" inside it).

That triangle has area of 0.5*base*height = 0.5*9*8 = 36 square cm. So B = 36

The parallelogram has base 18 cm and height 12 cm, so it has area of 18*12 = 216. This means C = 216

We can then finally compute the value of D

D = C - A - B

D = 216 - 60 - 36

D = 120 square cm

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