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3 years ago

Find the surface area of the cone

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

Step-by-step explanation:

slant height l =√(20²+(9/2)²)=√(400+81/4)=√(1681/4)=41/2

slant surface area=πrl

base area=πr²

Total surface area=πr²+πrl=πr(r+l)=π×(9/2)(9/2+41/2)=π×(9/2)×50/2=225π/2

=225×3.14/2

=225×1.57

=353.25 mm²

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22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the meas

Andreyy89

Given: < WXZ = 90 degrees ( Right angle is an angle of 90 degree measure).

m< WXV = 11 more than 3 times m< WXY = (3 * <WXY + 11)

m< YXV = 139 degree.

To find : m<YXZ = ?

Solution : m< WXZ is equal to 90 degrees and is also the sum of angles m<WXY and m<YXZ i.e.

m< WXZ = 90 degrees = m<WXY + m<YXZ -----(1)

m< WXV = (3 * <WXY + 11) -----(2)

m <YXV is equal to 139 degrees and also equal to the sum of angles m<WXY and m<WXV i.e.

m <YXV = 139 degree = m<WXY + m<WXV -----(3)

Substituting m< WXV = (3 * <WXY + 11) from equation (2) in equation (3)

139 degree = m<WXY + m<WXV

=> 139 = m<WXY + 3 * m<WXY + 11 (Subtracting 11 from both sides)

=> 139 -11 = m<WXY + 3 * m<WXY + 11 -11

=> 128 = 4<WXY (Adding m<WXY + 3 * m<WXY)

=> 32 = < WXY (Dividing both sides by 4)

Substituting < WXY = 32 from above in equation (1)

90 degrees = m<WXY + m<YXZ

90 = 32 + m<YXZ (Subtracting 32 from both sides)

90-32 = 32 + m<YXZ -32

58 = m<YXZ.

Therefore, <YXZ =58 degrees.

5 0

3 years ago

PLEASE HELP

Gala2k [10]

First we have to determine a linear equation. We will take two points (0,900) and (1,850):
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change: $\frac{y2-y1}{x2-x1} = \frac{750-850}{3-1}= \frac{-100}{2}$ =-50. It represents how many miles per one hour changes the distance from a destination.
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].

8 0

4 years ago

Read 2 more answers

A police officer seals off the scene of an accident using a roll of yellow tape that is 368 feet long. What dimensions should be

uysha [10]

The answer would be 92 by 92. Rectangular area only refers to the shape of the area. Squares are special types of rectangles.

368/4 equals 92.

I divided by 4 because a rectangle has four sides.

4 0

3 years ago

Evaluate 5! <br><br> 3,125 <br> 120 <br> 60

Igoryamba

Answer:

120

Step-by-step explanation:

Hello

The concept is factorial number !

Then,

5! = 5*4*3*2*1

5! = 120

Best regards

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4 years ago

Harlamova29_29 [7]

Answer:

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8 0

3 years ago