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3 years ago

The radius of a cone is 5 and the height is 11. What is the slant height, lateral area, total area and volume of the cone

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

Slant height = 12.083

Volume = 287.98

Step-by-step explanation:

To find the slant height, we just need to use the Pythagorean Theorem.

a² + b² = c²

a = 5

b = 11

5² + 11² = c²

25 + 121 = c²

146 = c²

Root both sides to find c

√146 = √c²

c = 12.083

To find the volume we need to use this formula: πr²h/3

r = radius (5)

h = hieght (11)

π · 5² · 11 ÷ 3 = 287.98

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Calculate interior angle of a regular 15 sided polygon

AleksAgata [21]

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = $\frac{sum}{n}$ = $\frac{2340}{15}$ = 156°

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3 years ago

3. The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?

Vikki [24]

Answer:

Area: ½ × base × height

Perimeter: sum of side lengths of the triangle

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Step-by-step explanation:

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3 years ago

5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +

Nonamiya [84]

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

$\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}$

Substituting the values we get

$3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13$

Therefore the value of x is 13.

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3 years ago

Let the equation C= 2.32 N + 34,180 represent the cost of raising a child, C on an income, N. If the Corlone family has an incom

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Answer:

$126,980

Step-by-step explanation:

Given the equation C = 2.32N + 34,180 where 'C' is the cost of raising a child and 'N' is the income. If the Corlone family has an income of $40,000, you can use this value for 'N' and solve for 'C':

C = 2.32(40,000) + 34,180

C = 92,800 + 34,180

C = $126,980

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4 years ago

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omeli [17]

15x-6+x-3=39
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3 years ago