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4 years ago

The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius of the cone.

Mathematics

2 answers:

Rzqust [24]4 years ago

6 0

Answer:

The answer to your question is 9 cm

Step-by-step explanation:

Data

slant height = 15 cm

height = 12 cm

radius = ?

Process

To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.

c² = a² + b²

slant height² = height² + radius²

-Solve for radius

radius² = slant height² - height²

-Substitution

radius² = 15² - 12²

-Simplification

radius² = 225 - 144

radius² = 81

-Result

radius = 9 cm

pashok25 [27]4 years ago

5 0

Answer: 6.

Step-by-step explanation:

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3 years ago

In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:

dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

$m\angle 1 = 180\degree- 160\degree$

$\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}$

Alternate method:

$m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]$

$\implies m\angle 1 = 180\degree- [360\degree-200\degree]$

$\implies m\angle 1 = 180\degree- 160\degree$

$\implies m\angle 1 = 20\degree$

6 0

3 years ago

Read 2 more answers

2. What is the approximate value of b in the triangle below?

s344n2d4d5 [400]

Answer:

d) 17.6

Step-by-step explanation:

Use the law of Sines

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6 0

4 years ago

Which equation shows the point-slope form of the line that passes through (-9, -3) and has a slope of -6?

Snowcat [4.5K]

Answer:

y=-6x-57 is your answer.

Step-by-step explanation:

You will use this equation:

y-y1=m(x-x1). The y1 is -2 and the x1 is -9.

y-(-3)=-6(x-(-9)). You will the distribute the -6 into the x and the -9.

y+3=-6x-54. You will then subtract 3 to both sides.

y=-6x-57 is your answer.

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3 years ago

The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius of the cone.​

The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius of the cone.