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vivado [14]
2 years ago
7

Solve the following inequality

Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer: 8 > u > 6. I hope it helps!

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Please help me with this ASAP Don’t ANSWER With links please ****
Lemur [1.5K]

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

10^2=(6)^2+h^2

100=36+h^2

100-36=h^2

64=h^2

Taking square root on both sides, we get

\sqrt{64}=h

8=h

The lateral area of a cone is:

A_L=\pi rl

A_L=\pi (6)(8)

A_L=48\pi

The surface area of a cone is:

A_S=\pi rl+\pi r^2

A_S=\pi (6)(8)+\pi (6)^2

A_S=48\pi +36\pi

A_S=84\pi

Volume of cone is:

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\pi (6)^2(8)

V=\dfrac{288}{3}\pi

V=96\pi

Therefore, the lateral area of a cone is 48\pi sq. units, the surface area of a cone is 84\pi sq. units and the volume of the cone is 96\pi cubic units.

7 0
3 years ago
An artist created the sculpture shown with concrete. The radius of the bottom hemisphere is double that of the top hemisphere. F
klemol [59]

<u>Answer:</u>

Vt = 4071.5 ft^3

<u>Step-by-step explanation:</u>

Givens:

  • R = 12
  • R = 2r => r = 6

Equations

  1. V = (4/3)(pi)r^3

Find: Vt (Total Volume)

Vt = (1/2)V1 + (1/2)(V2)

Vt = (1/2)(V1 + V2)                 <em>[Factor out (4/3) and (pi) from volumes]</em>

Vt = (1/2)(4/3)(pi)(R^3 + r^3)  <em>[Sub in Values]</em>

Vt = 4071.5 ft^3

5 0
3 years ago
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math.
Kisachek [45]
80/2= 20 then take away the extra 20 from the math for dance and you have the answer... 20 get it?
8 0
3 years ago
Read 2 more answers
A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.
Dmitry_Shevchenko [17]

Answer:

  105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

  (x km)/(17.5 cm) = (15 km)/(2.5 cm)

  x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0
3 years ago
The car dealership kept track of how many cars they sold each week for 6
Arisa [49]

Answer:

75

Step-by-step explanation:

75+88+34+88+64+101 =450

450/6 = 75  

add each week together, then divide by the total number of weeks

4 0
3 years ago
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