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Sholpan [36]
3 years ago
5

A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ​ ≈ 3.14 and round your a

nswer to the nearest hundredth.
Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

15.98cm

Step-by-step explanation:

Given data

Volume= 602.88cm^3

Radius= 6cm

The formula for the volume of a cone is

V= 1/3 πr^2h

substitute

602.88= 1/3*3.142*6^2*h

602.88=1/3*3.142*36*h

602.88=37.704*h

h= 602.88/37.704

h= 15.98cm

Hence the height is 15.98cm

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stepladder [879]

Answer:

4

Step-by-step explanation:

By intersecting chords theorem:

12x = 3(x + 12) \\  \\ 12x = 3x + 36 \\  \\ 12x - 3x = 36 \\  \\ 9x = 36 \\  \\ x =  \frac{36}{9}  \\  \\ x = 4

6 0
3 years ago
4/5 y = 8 , how do we solve pls help fast its urgent, I will mark u brainliest
Butoxors [25]

Answer:

y = 10

Step-by-step explanation:

4/5 y = 8

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4 0
3 years ago
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Find the value of the series
jekas [21]

Step-by-step explanation:

that is

sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.

and that is

sum(2^r) + n/2 for r=1 to n.

2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).

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the formula for the sum of a finite geometric sequence is

Sn = a1×(1 - r^n) / (1 - r)

with r being the common ratio .

so, in our case

Sn = 2×(1 - 2^n) / (1 - 2)

Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2

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3 0
2 years ago
HELP!! I NEED THIS QUICKLY
Elza [17]

Answer:

A and D

Step-by-step explanation:

We are given that

(3/4,2/3),(1/4,1),(1,1/2) and (1/2,1)

x_1=\frac{3}{4}

y_1=\frac{2}{3}

x_2=\frac{1}{4},y_2=1

x_3=1,y_3=\frac{1}{2}

x_4=\frac{1}{2},y_4=1

k=\frac{1}{2}

Direct proportion:

\frac{x}{y}=k

Inverse proportion:xy=k

\frac{x_1}{y_1}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\neq \frac{1}{2}

Therefore, it is not in direct proportion.

\frac{1}{4\times 2}=\frac{1}{8}\neq\frac{1}{2}

\frac{1}{\frac{1}{2}}=2\neq \frac{1}{2}

x_1y_1=\frac{3}{4}\times \frac{2}{3}=\frac{1}{2}

x_2y_2=\frac{1}{4}\times 2=\frac{1}{2}

x_3y_3=1\times \frac{1}{2}=\frac{1}{2}

x_4y_4=\frac{1}{2}\times 1=\frac{1}{2}

Therefore, xy=k=\frac{1}{2}

Hence, the given points form an inverse variation .

xy=\frac{1}{2}

y=\frac{1}{2x}

Option A and D is true.

6 0
3 years ago
2.State whether ABC and LAED are congruent. Justify your answer.
sladkih [1.3K]

Answer

C. Yes, by SSS only

Step-by-step explanation:

7 0
3 years ago
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