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postnew [5]
3 years ago
8

What is the volume of this cylinder?

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0
There is a great website that can help with volume!
Answer:

https://www.gigacalculator.com/calculators/
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The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ<0 .
Anna11 [10]
If a is the variable of the horizontal axis, then you can solve for b to get the equation of the line in slope-intercept form in the a,b plane:

-a+3b=0\implies b=\dfrac a3

i.e. a line with slope \dfrac13 through the origin, which means it is contained in the first and third quadrants. Since the terminal side of \theta has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is \dfrac13, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle \theta. Any such right triangle will have \tan\theta=\dfrac13, regardless of whether the angle is the first or third quadrant. But since \theta is known to lie in the third quadrant, and so \sin\theta and \cos\theta are both negative, you have

\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3
6 0
3 years ago
Read 2 more answers
3n-5p+2n=10 solve for n
nikdorinn [45]

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
2 years ago
Read 2 more answers
Given that BD is the median of AABC and that AABC is isosceles, congruence postulate SSS can be used to prove which of the follo
marusya05 [52]

Answer:

B.

Step-by-step explanation:

Because of isosceles triangle, AB = CB.

Because of the median, AD = CD.

Because of congruence of segments being reflexive, BD = BD.

By SSS, the triangles BAD and BCD are congruent.

Answer: B.

7 0
2 years ago
PLZ HELP PLZ HELP WHATS THE ANSWER
avanturin [10]
For the first equation it should be 1 and 4 because 7(1)+6(4) would simplify to 7+24 which equals 31.

Then for the second equation, well... there’s multiple answers:

First would be 3 and -2 because 3(3)-10(-2) simplifies to 9+20=29.

Another one would be 23 and 4 because 3(23)-10(4) simplifies to 69-40=29.

Hopefully this helps :D
4 0
3 years ago
Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min
leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

                                \lim_{x \to -2}  \frac{3(2x-1)^2 - 75}{x+2}.

First, we simplify the expression in the numerator of the fraction.

3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72

Now, we obtain

                         12(x^2-x-6) = 12(x+2)(x-3)

and the fraction is transformed into

                       \frac{3(2x-1)^2 - 75}{x+2} =  \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)

Therefore, the following limit is

       \lim_{x \to -2}  \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2}  12(x-3) = 12 \lim_{x \to -2} (x-3)

You can plug in -2 in the equation, hence

                        12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60

6 0
4 years ago
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