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tekilochka [14]
3 years ago
14

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the ve

rtical height of the cone?​
Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm

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marta [7]

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.

y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

6 0
3 years ago
The perimeter of a rectangle is 30 in. if its lenth is 3 times the width, find the deminsions​
MAXImum [283]

Step-by-step explanation:

2w+3(2w)=30

8w=30

w=3.75

l=11.25

7 0
3 years ago
Is 5x-7y=3 standard form?
barxatty [35]
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7 0
3 years ago
I NEED HELP PLEASE! :)<br> thanks!
torisob [31]

Since ΔABC ~ ΔEDC, ∠B = ∠D.

Since both triangles appear to be similar, the corresponding angles are the same, and corresponding sides are the same or have the same ratio.

We can write an equation to resemble the problem:

8x + 16 = 120

Solve for x.

8x + 16 = 120

~Subtract 16 to both sides

8x + 16 - 16 = 120 - 16

~Simplify

8x = 104

~Divide 8 to both sides

8x/8 = 104/8

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6 0
3 years ago
Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box.
SashulF [63]

Answer:

135°

Step-by-step Explanation:

==>Given:

An inscribed quadrilateral ABCD with,

m<A = (3x +6)°

m<C = (x + 2)°

==>Required:

measure of angle A

==>Solution:

First, let's find the value of x.

Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.

Therefore, this means m<A + m<C = 180°

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Collect like terms:

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Divide both sides by 4:

4x/4 = 172/4

x = 43

We can now find m<A = (3x + 6)°

m<A = 3(43) + 6

= 129 + 6

measure of angle A = 135°

6 0
3 years ago
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