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Roman55 [17]
3 years ago
6

A cone and a cylinder have the same base and height, as shown below.

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer with Step-by-step explanation:

We know that volume of a cylinder with radius r and height h is:

πr²h

and  volume of cone with radius r and height h is:

πr²h/3

Volume of cone=Volume of cylinder/3 < Volume of cylinder

Volume of cylinder=84π in² where π=3.14

Volume of cone=84π/3 in²

                          = 84(3.14)/3 in²

Hence, correct options are:

The volume of the cone is 1/3 the volume of the cylinder.

The volume of the cone is less than the volume of the cylinder.

The expression 84(3.14)/3 finds the volume of the cone.

Oksanka [162]3 years ago
7 0

Answer:

A,C,D on edge

Step-by-step explanation:

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A line passes through the points (0,4) and (7, 19). What is its equation in slope-intercept
belka [17]

Answer:

y= 15/7x+4

Step-by-step explanation:

5 0
3 years ago
Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
Which property justifies this statement?
Katen [24]
I know its not division,addition,multiplication,with the process of elimination its reflexive

5 0
4 years ago
Read 2 more answers
Multiple choice math question :)
iVinArrow [24]
Answer is D. 13 is the average
6 0
3 years ago
Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​
N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0
3 years ago
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