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scZoUnD [109]
3 years ago
5

The angle of a sector of a cone is 135, and the slant height is 20 centimeters. What is the diameter of the cone?

Mathematics
1 answer:
kramer3 years ago
8 0
The diameter of the cone is 15 cm
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Solve the following quadratic equation:<br><br> y=5x2+10x<br> Solutions: x= and x=
Brilliant_brown [7]

Answer:

0 and -2

Step-by-step explanation:

5x^2+10x=0\\5x(x+2)=0\\\\Then\\5x=0\\\\x=\frac{0}{5}==>x_{1}=0 \\x+2=0==> x_{2}=-2

6 0
2 years ago
PLEASE HELP ASAP 28 POINTS!!!! PLS PLS PLS PLS PLS PLS HELP
pav-90 [236]

Hello :)

We know that an answer in square feet would require us to calculate the area. In order to calculate the area of a rectangle, we multiply the length times the width. So, we have 6 x 2 which is 12 Therefore, the area is 12 square feet.

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4 0
2 years ago
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Solve equation for the given variable
Alenkinab [10]

Answer:

p=30

Step-by-step explanation:

First, you need to subtract 10 from both sides to get 1/2p=25. You do this just because simplifying is much easier.

Then, you need to isolate p, so you divide 1/2 by both sides, which is the same thing as multiplying by 2. 1/2*2p=15*2.

Simplifying, you get p=30.

8 0
2 years ago
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Marci needs to rent a storage unit. She needs to determine the volume of the storage unit to decide if the storage unit is big e
stealth61 [152]

Answer:

Volume = 176ft^3

Step-by-step explanation:

Given

Height = 8

See attachment for base dimension

Required

Determine the volume of the storage unit

From the attachment, we can split the base dimension into two rectangles.

CDEF and ABCG

And the dimensions are:

<u>CDEF</u>

EF = CD = BD - BC = 5 - 2 = 3

ED = FC = FG +AB = 4 + 2 =6

So, the area of CDEF is:

Area = EF * ED

Area = 3 * 6

Area = 18

<u>ABCG</u>

<u></u>AB= GC = 2<u></u>

<u></u>AG = BC = 2<u></u>

<u></u>

<u></u>Area = AB * AG<u></u>

Area = 2 * 2

Area = 4

So, the base area is:

Base\ Area = 18 + 4

Base\ Area = 22

The volume is then calculated as:

Volume = Base\ Area * Height

Volume = 22 * 8

Volume = 176

7 0
2 years ago
A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the co
Artyom0805 [142]

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

3 0
2 years ago
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