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3 years ago

The diameter of a semicircle is 8 miles. What is the semicircle's perimeter? Use 3.14 for .

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

Answer:

Circumference of the semicircle $=12.56 miles$

Step-by-step explanation:

Diameter of the semicircle= $8 miles$

Radius of the semicircle= $8/2=4 miles$

Perimeter of a circle or semicircle is called its Circumference:

Circumference of a circle= $2*\pi *r$

Circumference of a semicircle= $\frac{2*\pi *r}{2}=\pi *r$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula of the circumference of the semicircle:

Circumference of the semicircle= $3.14*4$

$=12.56 miles$

The Circumference of the semicircle with the radius of 4 miles $=12.56 miles$

wlad13 [49]3 years ago

7 0

Answer:

41.13 cm

Step-by-step explanation:

ITSSSS RIGHTTTTTTTTT

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12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.

ivanzaharov [21]

Answer:

Step-by-step explanation:

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c^2 = a^2 + b^2

40^2 = 24^2 + b^2

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2 years ago

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

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15 is 10 percent of what number

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3 years ago

you have 96 feet of fencing to enclose a rectangular pen for your dog. the pen should be three times long as it is wide. write a

swat32

Answer:

length = 36 ft; width = 12 ft

Step-by-step explanation:

Let the width be x.

The length is 3x.

The perimeter is the sum of two lengths and two widths, and it equals 96 ft.

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Width = x = 12 ft

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The diameter of a semicircle is 8 miles. What is the semicircle's perimeter? Use 3.14 for ​.

The diameter of a semicircle is 8 miles. What is the semicircle's perimeter? Use 3.14 for .