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3 years ago

Would tripling the height of a triangular prism triple its volume?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Yes tripling the height will effect to tripiling the volume of the prism

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Lim x--> 0 (e^x(sinx)(tax))/x^2

Tom [10]

Make use of the known limit,

$\displaystyle\lim_{x\to0}\frac{\sin x}x=1$

We have

$\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)$

since $\tan x=\dfrac{\sin x}{\cos x}$ , and the limit of a product is the same as the product of limits.

$\dfrac{e^x}{\cos x}$ is continuous at $x=0$ , and $\dfrac{e^0}{\cos 0}=1$ . The remaining limit is also 1, since

$\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1$

so the overall limit is 1.

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3 years ago

At a theme park, 35% of daily visitors ride the log ride. If on one particular day the park has 60,000 visitors, how many can be

Neko [114]

The answers is D 21,000because you have to do 60,000x.35=21,000

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2 years ago

Read 2 more answers

Explain how to use the distributive property to find an expression that is equivalent to 20+10

nordsb [41]

Answer: 2(10+5)

Step-by-step explanation: half of 20 is 10. half of 10 is five and i put them both in parentheses. outside the parenthesis i placed 2 so it is multiplied to the inner set of numbers.

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3 years ago

Read 2 more answers

I need help with these please

Kipish [7]

Answer:

Q1 (-2,-5)(0,3)(4,19)(7,31)

Step-by-step explanation:

8 0

2 years ago

Help me please:(((((

MariettaO [177]

Answer:

• Consider points (2, 0) and (0, 6) spotted from the graph.

${ \boxed{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }}}$

• substitute:

${ \rm{slope = \frac{6 - 0}{0 - 2} }} \\ \\ { \rm{ = \frac{6}{ - 2} }} \\ \\ { \boxed{ \boxed{ \tt{ \: \: slope = - 3 \: \: }}}}$

5 0

2 years ago