(Don’t send me a link pls just answer!) First 3 people to answer get lots of points pls do it by friday!

Mathematics

2 answers:

Natali5045456 [20]3 years ago

7 0

Answer:

8835.73ft^3

Step-by-step explanation:

First:

Find area of the base circle.

Diameter is 15, so radius is 7.5

Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)

next find the volume of the cylinder

height is 40 so volume = 56.25pi*40 = 2250pi

next find the volume of the dome at the top.

you know the radius is 7.5

Use volume of sphere formula below :

4 /3πr^3

=1767.15

alright now add the two bolded values

1767.15+2250pi

= 8835.73

hope this helps

erik [133]3 years ago

7 0

The answer is 8835.73 ft

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: If tan A=- 9/13 and 0 < A < 180, find, without using tables or calculators, the value of

stich3 [128]

Answer: $\bold{\sin A=\dfrac{9\sqrt{10}}{50}\qquad \cos A=-\dfrac{13\sqrt{10}}{50}}$

Step-by-step explanation:

0° < A < 180° so it is in Quadrant I or II

since tan A is negative, it is in Quadrant II ---> (-x, +y)

$\text{Given}:\tan A=\dfrac{y}{x}\ =\dfrac{9}{-13}$

Next, find the hypotenuse given that x = -13 and y = 9

(-13)² + (9)² = r²

250 = r²

5√10 = r

$\sin A = \dfrac{y}{r}\quad =\dfrac{9}{5\sqrt{10}}\bigg(\dfrac{\sqrt{10}}{\sqrt{10}}\bigg)\quad =\large\boxed{\dfrac{9\sqrt{10}}{50}}\\\\\\\\\cos A = \dfrac{x}{r}\quad =\dfrac{-13}{5\sqrt{10}}\bigg(\dfrac{\sqrt{10}}{\sqrt{10}}\bigg)\quad =\large\boxed{-\dfrac{13\sqrt{10}}{50}}$