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3 years ago

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The Height of the pyramid in the diagram is three times the radius of the cone.The base area of the pyramid is the same as the b

ase area of the cone.What is the expression for the volume of the pyramid in terms of the radius r of the cone?

1 answer:

Tamiku [17]3 years ago

3 0

Answer:

A

Step-by-step explanation:

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Solve equation 4x=20

Romashka [77]

4x=20

4/4x=20/4

x=5

u want to isolate the variable to solve these equations

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Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf. If he complet

marusya05 [52]

Answer:

24 rounds

Step-by-step explanation:

This question has to do with a factor of numbers which we refer to as:

Lowest common multiple.

Lowest common multiple can be defined as the Lowest multiple that is common to the multiple of two numbers.

We are told in the question that:

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf.

We find the multiples of 6 and 8

6 = 1, 6, 12, 18, 24, 48, 54, 60, 66, 72 e.tc.

8 = 1, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, e.t.c

The Lowest Common Multiple: This is the least or lowest multiple that is common to both 6 and 8

= 24.

Therefore, it will take 24 rounds for Lloyd to complete another goblin and elf at the same time

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11Alexandr11 [23.1K]

The answer is 6. The first two absolute values cancel each other and subtracting a negative is adding.

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PLS HELPP ILL MARK BRAINLIST { have to get it right }

Sonbull [250]

Answer:

=1

=−7

Step-by-step explanation:

(+3)2−5=11

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