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3 years ago

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

$\frac{4}{20} = \frac{x}{360}$

Cross multiply:

$1440 = 20x\\$

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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Find a ⋅ b. a = 4i - 4j, b = 4i + 5j

svetoff [14.1K]

Answer:

value of a.b = -4

Step-by-step explanation:

We need to find a.b

a= 4i-4j

b = 4i+5j

We know that i.i =1, j.j=1, i.j =0 and j.i=0

a.b = (4i-4j).(4i+5j)

a.b = 4i(4i+5j)-4j(4i+5j)

a.b = 16i.i +20i.j-16j.i-20j.j

a.b = 16(1) +20(0)-16(0)-20(1)

a.b = 16 +0-0-20

a.b = 16-20

a.b =-4

So, value of a.b = -4

7 0

3 years ago

Read 2 more answers

What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?

olchik [2.2K]

The surface area of cylinder is 8.625 $\pi$ $cm^{2}$ , if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

Cylinder has a 5 centimeters height

Diameter of the cylinder is 1.5 centimeters

Step:1

Formula for the surface area of cylinder is,

$A=2\pi r h + 2\pi r^{2}$ ......................................(1)

Where,

h - Height of cylinder

r - Radius of cylinder

From the values of h and r,

$r=\frac{d}{2}$

= $\frac{1.5}{2}$

r = 0.75 cm

From the formula,

= ( 2 × $\pi$ × 0.75 × 5 ) + ( 2 × $\pi$ × $0.75^{2}$ )

= ( 7.5 $\pi$ ) + ( 1.125 $\pi$ )

A = 8.625 $\pi$ $cm^{2}$

Result:

The surface area of cylinder is 8.625 $\pi$ $cm^{2}$ , if the cylinder has 5 centimeters high and 1.5 cm of diameter.

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4 years ago

Angle A and angle B are complementary. m Angle A = 54 and M angle B = 2x+2. What is the m angle B

Gnom [1K]

Answer:

m=17

Step-by-step explanation:

Complementary means they add to equal 90 degrees.

1) 90-A=36

2)36=2x+2

3) Subtract 2 from both sides, 34=2x

4) Divide by 2 17=x

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3 years ago

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Answer:

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Answer:

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Step-by-step explanation:

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