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3 years ago

12

If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thet

acotθ in simplest radical form.

1 answer:

STatiana [176]3 years ago

3 0

Buying the president of the state national national

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Watermelons cost $0.35 per pound. Joseph’s watermelon costs between $4.20 and $5.25. Which compound inequality correctly represe

Ahat [919]

Working is attached :)

4 0

3 years ago

Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-

AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

$\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\$

So, this integral is convergent.

b)

$\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\$

So, this integral is divergent.

c)

$\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\$

So, this integral is divergent.

4 0

3 years ago

A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

3 years ago

Awnser and show your work <3

marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

$\frac{5}{x} = \frac{1}{5}$

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

$\frac{3}{x} = \frac{1}{8}$

cross multiply to get

x*1=3*8

x= 24 players

6 0

3 years ago

PLZ HELP ASAP ILL GIVE BRAINLEST

lianna [129]

Answer:

2.25

Step-by-step explanation:

-9/-4= 2.25

3 0

3 years ago

Read 2 more answers