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Over [174]
3 years ago
13

Which of the point-slope equations below are correct for the line that passes through the points (6,6) and (3,1)?

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
(6,6)(3,1)
slope(m) = (1 - 6) / (3 - 6) = -5/-3 = 5/3

y - y1 = m(x - x1)...using (6,6)
y - 6 = 5/3(x - 6) <== here is one

y - y1 = m(x - x1)...using (3,1)
y - 1 = 5/3(x - 3) <== here is the other one
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A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
5 0
2 years ago
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8. Draw a number line and place the following it 4/8 0.25 3/4 0.5 0 1/2 1
Andru [333]
The correct order is: 0.25, 4/8=0.5 so they go above each other, 3/4
5 0
2 years ago
A blank is a fraction with a denominator of 1
Advocard [28]
A whole number is a fraction with a denominator of one
5 0
3 years ago
Find 5 rational numbers between 2/3 , 4/5​
iris [78.8K]

Answer:

0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

2/3 is approximately equal to 0.66.

4/5 is equal to 0.8

Thus, we just need to find 5 numbers between 0.66 and 0.8.

Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71

Hope this helps :)

4 0
2 years ago
Read 2 more answers
Solve for x: 4 = (-8) +3x. Will you please help?
Zanzabum
8 + 4 = 3x
12 = 3x
divide both sides by 3
x= 4
8 0
3 years ago
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