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2 years ago

Find the solutions of each equation on the interval [0,2pi) sin(3pi/2+ x)+sin(3pi/2 +x)= -2

Mathematics

1 answer:

user100 [1]2 years ago

3 0

Answer:

x=0

Step-by-step explanation:

You can combine the equation to get 2sin(3/2 +x) = -2

divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.

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The volume of a cone is 20pi cubic meters. What is the volume of a cylinder with the same base and height?

Sergeu [11.5K]

Recall, the volume of a cone is 1/3pi times radius of base times height.
$V cone_{} = \frac{1}{3} * \pi *r^2*h$

Volume of a cylinder is the same but without the 1/3
$V cyl_{} = \pi*r^2*h$

It gives you the cone volume 20pi and that the radius and height of both of them are the same values.
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$V cyl_{}= \pi r^2h$

since it says the radius and height are the same for both , you can equate the two, you can solve both equations for r^2*h and then equate what is on the other side.
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3 years ago

What is the domain of f/g given f(x) = x+4 and g(x) = x-1

Butoxors [25]

Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x - 1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴ x - 1 ≠ 0

the value of x when g(x) = 0 is

x - 1 = 0

x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

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3 years ago

Find the circumference or distance around a circus ring (circle) with a diameter of 100 feel. Use 3.14 for pi

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Use Formula C= pi(d) so that would be 3.14 x 100 = 314

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3 years ago

Read 2 more answers

In this pattern 9,12,15,18,21 what is the next number

laiz [17]

It is 24. You just add 3 each time. hope it helps!

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3 years ago

X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?

serious [3.7K]

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x subtract x from both sides

6y + 9 = x divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6 replace x with 6y + 9

-2y + 9 = 6 subtract 8y from both sides

-2y + 3 = 0 subtract 6 from both sides

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3 years ago