Solve for x : 3x - 24 = 81

[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

Answer: ?

Step-by-step explanation:

It is right but what's the full question

Answer: your answer is 36.3 cause it's half of 72.6.

Step-by-step explanation:

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

A = total monthly cost of Plan A for every x number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A  

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

B = total monthly cost of Plan B for every x number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B    

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27  or  [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the   [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex]  (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B.  The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.          

Answer:

hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:

Step-by-step explanation:

Answer:

106 degrees

Step-by-step explanation:

180 degrees in a triangle divided by three

60 minus 23 equals 37

37 times 2 is 74

180 minus 74 equals 106

Hope it's right :)

this equation is error because of -7and 4y two this is not have + or - that's why

Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.

With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.

Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.

Read more about the 17th Amendment here:

https://brainly.com/question/7926023

Answer:

The ninth piece is 0.5 feet long

Step-by-step explanation:

176 divided by 9

Hope this helps!

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

Answer:

1 apple

Step-by-step explanation:

2-1=1

Have a great day or night wharever you are!

The number of apples you will have left if your sister takes away one is; 1 apple

We are told that you have 2 apples.

Now, if you have 2 it means that anyone taken away from you would be subtracted from the one that you have.

This means that;

Number of apples you have left if your sister takes one is; 2 - 1 = 1 apple.

Read more on subtraction at; https://brainly.com/question/17301989

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer:

option d is the right answer

Answer:

pie means 3.142

Step-by-step explanation:

Answer:

In decimal form, the value of pi is approximately 3.14. It looks like this π.

Hope that helps. x

Step-by-step explanation:

hope it will help you.....

The slope of the line 5/7.

How do i know this?

Well the slope of a line is considered as rise/run.

So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.

Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.

Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.

Your welcome! :D

x = 1/2

(8x-3) / x = 1 / (1/2) -> 1 x 2 = 2

So, when x = 1/2, (8x-3)/x = 2.

Answer:

its 38

Step-by-step explanation:

use a calculator like i did :)

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

[tex]\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }[/tex]

Given that;

Then. the area of the sector can be calculated as:

[tex]\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }[/tex]

[tex]\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }[/tex]

A = 339.336 cm²

Learn more about the area of a sector here:

https://brainly.com/question/7512468?referrer=searchResults

Answer:

last option

...................................

[tex]2^{100} = 16^{25} =32^{20} =1024^{10}[/tex]

P/s: [tex]2^{100} = 2^{4.25} =16^{25}[/tex] ......

ok done. Thank to me :>

Answer:

Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.

Step-by-step explanation: Hope this helps

Answer: C. y=3x+4

Step-by-step explanation:

SInce the line crosses the y-axis at the point (0,4), and the line is positive since it is pointing upwards, and the slope of the line is 3 if you count up 3 over 1, the correct equation of the line is y=3x+4.

Answer:

1. the plastic will be 0.48 cm thick after 3 folds

Step-by-step explanation: