What is the surface area of a cylinder that is 5 centimeters high
and has a diameter of 1.5 centimeters?
7.57 cm
B 8.6257 cm
C 10.57 cm
D 19.557 cm

[tex]2tan^2(\theta )+tan(\theta )=0\implies tan(\theta )[2tan(\theta )+1)]=0 \\\\[-0.35em] ~\dotfill\\\\ tan(\theta)=0\implies \theta=tan^{-1}(0)\implies \theta= \begin{cases} 0\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2tan(\theta)+1=0\implies 2tan(\theta)=-1\implies tan(\theta)=-\cfrac{1}{2} \\\\\\ \theta=tan^{-1}\left( -\cfrac{1}{2} \right)\implies \theta \approx \begin{cases} \stackrel{180^o~~ - ~~26.57}{153.43^o}\\ \stackrel{360~~ - ~~26.57}{333.43^o} \end{cases}[/tex]

for the second pair of angles, the angle of reference is really about 26.57°.  Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.

Make sure your calculator is in Degree mode.

Answer:

2 and 4

Step-by-step explanation:

Because the graph lines go straight across instead of up and that means there was no snow fall so that is the least amount of snowfall.

Your welcome :)

Answer:

Yes

Step-by-step explanation:

There are two green regions and two red regions which makes four regions in total. If there is an equal probability to land on each region, it means that the probability to land on a green region is 2/4 because there are two green regions out of the four total regions. You could also simplify it to 1/2.

If x is in quadrant I, then both sin(x) and cos(x) are positive. The angle x/2 also belongs to quadrant I, and hence each of sin(x/2), cos(x/2), and tan(x/2) are positive.

Recall that for all x,

cos²(x) + sin²(x) = 1

and multiplying through both sides by 1/cos²(x) = sec²(x) gives another flavor of this identity,

1 + tan²(x) = sec²(x)

It follows that

sec(x) = √(1 + tan²(x)) = √937/19

which immediately gives us

cos(x) = 19/√937

and from the identity above we find

sin(x) = √(1 - cos²(x)) = 24/√937

Recall the half angle identity for cos :

cos²(x) = (1 + cos(2x))/2

which means

cos(x/2) = + √[(1 + cos(x))/2] = √[1/2 + 19/(2√937)]

Then

sin(x/2) = + √(1 - cos²(x/2)) = √[1/2 - 19/(2 √937)]

and by definition of tan,

tan(x/2) = sin(x/2) / cos(x/2) = 1/12 √[649/2 - 19 √937/2]

Just to be clear, the solutions are

[tex]\cos\left(\dfrac x2\right) = \sqrt{\dfrac12 + \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\sin\left(\dfrac x2\right) = \sqrt{\dfrac12 - \dfrac{19}{2\sqrt{937}}}[/tex]

[tex]\tan\left(\dfrac x2\right) = \dfrac1{12} \sqrt{\dfrac{649 - 19\sqrt{937}}2}[/tex]

Answer:

The stick hits the ground 2.37 seconds after it is dropped.

Step-by-step explanation:

Your function is incorrect.

I will assume that the correct function is

h = -16t² + 90

When the stick hits the ground, its height is 0.

We are looking for the value of t, time, when h = 0.

Set h = 0, and solve for t.

h = -16t² + 90

-16t² + 90 = 0

-16t² = -90

t² = 5.625

t = 2.37

The stick hits the ground 2.37 seconds after it is dropped.

Answer:

D. 27 units

Step-by-step explanation:

27 is greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Take the natural logarithm of both sides;

8x+9 = ln (14)

Transposition;

8x= ln(14)-ln(e⁹)

[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]

[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]

Answer:

What are the numbers in the parentheses?

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

[tex]\frac{x+4}{-5}[/tex] = y  can be rewritten as [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

4. Write in inverse notation:

f(x) = [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]

Therefore, B is the answer.

Answer:

6/11

Step-by-step explanation:

count how many numbers there are 11

count how many numbers you have that are less than 4 or odd

put that number over the total

simplify if possible

Answer:

117.29 cubic feet

Step-by-step explanation:

* means multiplied by

V=π*r^2*(h/3)

V=π*4^2*(7/3)

V=3.14*16*(7/3)

V≈117.29

Answer:

$308

Step-by-step explanation:

Hope this helped! :)

If this is wrong please comment below! :)

Thx!

Answer:

Pauline made $8 per hour last week.

Step-by-step explanation:

$280÷35=$8

Answer:

1/3 of twelve is 4 so four must be the answer

Step-by-step explanation:

Answer:

To find the mean, you must add up all of the numbers in the data set and then divide them by the amount of numbers there are.

Step-by-step explanation:

For example:

1, 2, 3, 4, 5

To find the mean, we first add up all of these numbers:

1 + 2 + 3 + 4 + 5 = 15

Next, since there are 5 total numbers here, we divide their sum by 5:

15/5 = 3

That is how we get the mean (or average) of the data set.

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

Answer:

25

Step-by-step explanation:

Answer:

(x+2)/(x−3)

Step-by-step explanation:

((x-2)/(x+3))+((10x)/(x+3)(x-3))

((x-2)(x-3)+10x)/(x+3)(x+3)

Brainliest if you can please

Answer:

110

Step-by-step explanation:

it is 110 because it is the number in the middle of the data set.

Answer:

less!

Step-by-step explanation:

billy = 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20 = 295

maria = 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25 = 360

soooooo that in mind! maria earned more than billy!

Answer:

8 and below

Step-by-step explanation:

Everything below 9

Answer:

Any real number less than or equal to 8;

for example:

8, 7, -100, π

Answer:

i am from afghanistan and you

Step-by-step explanation:

Step-by-step explanation:

a = original number of adult tickets

c = original number of child tickets

a/c = 2/5

a = 2c/5

(a+70)/(c+300) = 1/3

(2c/5 + 70)/(c + 300) = 1/3

2c/5 + 70 = (c + 300)/3

2c + 350 = 5(c + 300)/3

6c + 1050 = 5(c + 300) = 5c + 1500

c = 450

a = 2c/5 = 2×450/5 = 2×90 = 180

Joshua sold therefore in total

180 + 70 = 250 adult tickets.

and by the way

450 + 300 = 750 child tickets.

Answer:

60+0.5x <= 180

0.5x <= 120

x <= 240 miles

Step-by-step explanation:

The answer is going to be c

Answer:

I believe it's C) 0.8125

Step-by-step explanation:

I’m sorry I don’t know how to explain it step by step

Answer:

Using the exact probabilities from the binomial we can find the probability of obtaining 18 or more successes out of 20 trials.

hope it helps!

Answer:23.6ft

Step-by-step explanation:

SOHCAHTOA

sin(80)=(o/24)

Multiply both sides by 24 and 24 on the right side will cancel out.

24sin(80)=23.6ft

The height of the wall where the ladder reaches will be 23.64 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

sin 80° = h / 24

h = 24 x sin80°

h = 23.64 feet

The height of the wall where the ladder reaches will be 23.64 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Answer:

3(3r - 4)(3r + 4)

Step-by-step explanation:

I can't see the writing very clearly.

This is the correct solution:

27r^2 - 48                   Divide through by 3:

= 3(9r^2 - 16)               9r^2- 16 is the difference of 2 squares so:

= 3(3r - 4)(3r + 4)

Answer:

970,060

Step-by-step explanation:

i think this is correct-

Edit: i just realised the number was 907,060 ._.

976

Step-by-step explanation:

Answer:

I believe the period is 1. Because if it was y= sin2 (2(x-1/2) then the period would be 2.