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3 years ago

Can someone explain how to do this

Mathematics

2 answers:

sdas [7]3 years ago

5 0

You begin by finding the measure of the angles knowing that all angles in a triangle equal 180. Then you use tan 57=7/(line AC). This value squared plus 7 squared will equal the length of the hypotenuse squared.

Cloud [144]3 years ago

4 0

I'm pretty sure its a^2+b^2=C^2

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What is 27/6 written as a decimal? 4.2 4.3 4.4 4.5

yawa3891 [41]

27/6 can be written as 27 divided by 6 to make it easier for you to understand the answer would be 4.5

4 0

3 years ago

A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u

OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

$\displaystyle\frac{8000\pi\sqrt{2}}{3}$

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

$x^2+y^2=15^2\to y=\sqrt{225-x^2}$

Then we set the integral for the volume by using shell method:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

For x=5: $u=225-5^2=200$

For x=15: $u=225-15^2=0$

So the integral becomes:

$\displaystyle -\int_{200}^{0}\pi \sqrt{u}du$

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

$\displaystyle \int_{0}^{200}\pi u^{1/2}du$

Then applying the basic rule we get:

$\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}$

Since that is just half of the solid, we multiply by 2 to get the complete volume:

$\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}$

$=\displaystyle\frac{8000\pi\sqrt{2}}{3}$

5 0

3 years ago

It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the mont

Virty [35]

It cost $50 a month

Work: 700 - 100 = 600

600 / 12 = 50

Hope this helps!

6 0

3 years ago

Read 2 more answers

Simplify each product. (x 5)(x^2-3x 1)

Dominik [7]

5x^2 (x - 3) i think...

6 0

3 years ago

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet

ser-zykov [4K]

One necklace and bracelet set is equal to 6 1/9 inches + 3 1/3 inches. That makes the total amount of wire in one set to be 9 4/9 inches. If you divide 28 1/3 by 9 4/9, you get 3.
85/3 * 9/85 = 255/85 = 51/17 = 3

FINAL ANSWER: 3 jewelry sets

7 0

3 years ago