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3 years ago

Find the volume of the hemisphere below leave your answers in terms of pi

Mathematics

1 answer:

Ainat [17]3 years ago

7 0

Answer:

volume of the hemisphere

$\frac{2}{3} \times \pi \times {r}^{3} \\ \frac{2}{3} \times \pi \times 1331 \\ = 887.3333333333\pi$

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Identify the number that does not belong with the other three. explain your reasoning. -10/2 -13.4 sqrt 18 22.7

Oxana [17]

22.7
is the anwser
because irrational is repeating

7 0

3 years ago

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

8 0

3 years ago

18. cos t(sec t - cos t)

Margarita [4]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\
-----------------------------\\\\
cos(t)[sec(t)-cos(t)]\implies cos(t)sec(t)-cos(t)cos(t)
\\\\\\
cos(t)\cdot \cfrac{1}{cos(t)}-cos^2(t)\implies 1-cos^2(t)\implies \boxed{sin^2(t)}$

8 0

3 years ago

Is 12/30 and 18/45 proportional, or not proportional?

34kurt

12/30 = 18/45, so first you're going to cross multiply and you'll get (30)(18) = (12)(45). Then you can see that 540 = 540 same number so they're proportional...

BTW THIS WAY IS A LOT EASIER.

12/30 = 2/5

18/45 = 2/5

So yes, in summary, they're proportional to each other. Hope this helps, have a BLESSED and wonderful day! :-)

5 0

3 years ago

Read 2 more answers

Consider this three digit sequence 943. Is the first digit the largest or the second digit the smallest, and, is the third digit

maw [93]

Well, 9 is the largest, but 4 is the smallest and 3 is the second odd number. So it would go yes, no, no or if it's just one question, it would be no.

3 0

3 years ago