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3 years ago

Given a central angle of 100 in a circle with a radius of 7 in., what is the intercepted arc length of the central angle?

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Answer:

12.2 inches

Step-by-step explanation:

Write and solve a proportion.

Arc length / circumference = central angle / 360°

x / (2π × 7) = 100° / 360°

x = 12.2

The arc length is 12.2 inches

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the area of the base of a pyramid is 18 square yards. the height of the pyramid is 5 yards what is the volume of the pyramid

nikitadnepr [17]

V=areax height
v=18x5
v=90

3 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

alexandr1967 [171]

Answer:

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Evaluate each expression <br><br> 10 (e+7)<br> E=3

Nostrana [21]

Plug in e for 3.

10(3+7)

Use the distributive property. a(b+c)= ab+ac

10*3= 30, 10*7=70

30+70=100

The expression equals 100.

I hope this helps!
~kaikers

5 0

4 years ago

Read 2 more answers

A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.

Anton [14]

Answer:

Height of cylinder is $\frac{4}{5}\ ft$ .

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

$R = \dfrac{D}{2}$

So, radius, R = $\frac{6}{2} \Rightarrow 3$ feet

Let height of cylinder be $h$ feet.

Formula for volume of cylinder is given by:

$V = \pi R^{2} H$

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

$V = \dfrac{36 \pi}{5} ft^{3}$

Using formula for volume, $V = \pi R^{2} H$

$\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft$

Hence, Height of cylinder is $\frac{4}{5}\ ft$ .

7 0

3 years ago

2 fifth= Ten blank help

Paha777 [63]

2/5 = x/10

2/5 x 2 = 4/10

x= 4

2/5 = 4/10

6 0

3 years ago