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yuradex [85]
3 years ago
12

the volume of a cylinder is about 402 cubic inches. the height is 2 times the cylinder’s radius. what are the radius and height

of the cylinder?
Mathematics
1 answer:
Liula [17]3 years ago
7 0

Answer: r=4 inch

              H=8 inch

Step-by-step explanation:

V=402 inch³

H=2r

V=Hr²π

402=2r*r²π

402=2r³π

402/2π=r³

64=r³

r=4

H=2*4=8

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
Read 2 more answers
22. Solve for x.<br> 95°<br> +9<br> 24°
blondinia [14]

Answer:

I would say its 24 hope this helps

4 0
3 years ago
X^2+ 6x - 4 = 3x + 6
jolli1 [7]

Answer:

x=2

x=-5

Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

5-2 = 3 and 5*-2 = -10

Factoring x^2+3x-10 gives us (x-2)(x+5)

x=2

x=-5

4 0
3 years ago
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Solve the equation -3(x - 14) + 9x = 6x + 24. Does the equation have
Black_prince [1.1K]
-3(x-14)+9x=6x+24
-3x+42+9x=6x+24
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Determine the sample size needed to construct a 99​% confidence interval to estimate the average GPA for the student population
Volgvan

Answer: n = 14

Step-by-step explanation: margin of error = critical value × σ/√n

Where σ = population standard deviation = 1

n = sample size = ?

We are to construct a 99% confidence interval, hence the level of significance is 1%.

The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58

Margin of error = 0.7

0.7 = 2.58×1/√n

0.7 = 2.58/√n

By cross multipying

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By squaring both sides

0.7^2 × n = 2.58^2

0.49 × n = 6.6564

n = 6.6564/0.49

n = 14

3 0
3 years ago
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