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3 years ago

15

What is the volume of the cone with a radius of 10ft and a height of 21ft?round to the nearest cubic foot

1 answer:

Ivan3 years ago

3 0

Volume of cone is 2200ft

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URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.

dangina [55]

In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

$\large \boxed{ {tan}^{2} \theta = {sec}^{2} \theta - 1}$

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

$\large{ {tan}^{2} \theta = {( - \frac{3}{2}) }^{2} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - 1} \\ \large{ {tan}^{2} \theta = \frac{9}{4} - \frac{4}{4} \longrightarrow \frac{5}{4} } \\ \large{tan \theta = \frac{ \sqrt{5} }{ \sqrt{4} } } \\ \large \boxed{tan \theta = \frac{ \sqrt{5} }{2} }$

Since tan is negative in the second quadrant. Hence,

$\large{ \cancel{ tan \theta = \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta = - \frac{ \sqrt{5} }{2} }}$

Answer

tan = -√5/2

3 0

2 years ago

What is the measure of e?

ValentinkaMS [17]

Answer:

$\theta = 4~radians$

Step-by-step explanation:

$s = \theta r$

$20~cm = \theta \times 5~cm$

$\theta = 4~radians$

4 0

3 years ago

(11x + 2y) - (5x – y)

omeli [17]

Answer:

the answer is $6x+3y$

Step-by-step explanation:

$\mathrm{Remove\:parentheses}:\\=11x+2y-\left(5x-y\right)\\\\-(5x-y): -5x+y\\=11x+2y-5x+y\\Simplify:\\11x+2y-5x+y: 6x+3y\\\\=6x+3y$

hope this helps :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

5 0

3 years ago

Tara is making dinner for 9 people. She mixes 1 1/4 kilograms of rice with 500grams of vegetables and 410 grams of meat. If all

kotegsom [21]

Answer:

240 grams

Step-by-step explanation:

Tara uses:

$1 \dfrac{1}{4}\ kg=1 \ kg\ 250 \ g=1250\ g$ of rice
500 g of vegatables
410 g of meat

In total, Tara uses

$1250+500+410=2160\ g$ of ingredients.

She is making dinner for 9 people, so the weight of each serving is

$2160:9=240\ g$

3 0

3 years ago

What is the value of x in the equation 1/3x − 2/3 =− 18?

Klio2033 [76]

Answer:

x = -52

Step-by-step explanation:

$\frac{1}{3}x-\frac{2}{3}=-18$

Let us solve for x.

$\frac{1}{3}x=-18+\frac{2}{3}$

$\frac{1}{3}x=-\frac{18*3}{1*3} +\frac{2}{3}$

$\frac{1}{3}x=-\frac{54}{3} +\frac{2}{3}$

$\frac{1}{3}x=\frac{-54+2}{3}$

$\frac{1}{3}x=\frac{-52}{3}$

Use cross multiplication to find the value of x.

$\frac{1x}{3}=\frac{-52}{3}$

$3*1x=3*-52$

$3x=-156$

Divide both sides by 3.

x = - 52

4 0

2 years ago