Stephen gathered data about the average rainfall in two cities. He organized his data in the showing graph.

Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x

2

=

16

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x

=

±

√

16

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

4

,

−

4

Exclude the solutions that do not make

x

2

x

−

4

=

16

x

−

4

true.

x

=

−

4

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

[tex] {5}^{2} + {(5 \sqrt{3} )}^{2} = 25 + 75 = 100 \\ \\ {10}^{2} = 100 \\ \\ \implies \: {5}^{2} + {(5 \sqrt{3} )}^{2} = {10}^{2} \\ [/tex]

So, by converse of Pythagoras theorem given side lengths form a right triangle

Answer:

Right

Step-by-step explanation:

The side lengths are 5, 5√3, and 10. This tells me this is a 30° 60° 90° triangle. In a 30° 60° 90° triangle, the relationship between the side lengths are a, a√3, and 2a. a represents the side length of the first leg of the triangle. a√3 represents the second side length, which is the first leg's side length multiplied by √3. Finally, 2a represents the hypotenuse which is two times bigger than the first leg's side length.

Answer:

It just is see explanation

Step-by-step explanation:

75% is equal to 0.75, or 3/4. If you multiply the full 60 minutes to 3/4, then your product is 45 minutes. That's how 75% of 60 minutes is 45 minutes.

Answer: 75% of a number is the same thing as 3/4 of the number.

so for example, divide 100 by 4. you get 25 right?

right, so multiply 25 by 3 and you get 75. That's what 3/4 of something is.

now divide 60 by 4. you get 15 right?

right, so multiply 15 by 3, and you get 45 :)))

that's why 75% of 60 is 45.

i hope this helps!!

BTW when you get a question with percentages, you can flip them! In this case it doesn't really help to do so, but for example if you had a question asking:

what is 16% of 50?

FLIP IT. it's the same thing as 50% of 16!!!  This works with like any percentage!!!

Given that,

ABC is a right angle triangle, C is the right angle.

To find,

cosB = ?

Solution,

The sum of angle of a triangle is equal to 180 degrees. So,

∠A + ∠B + ∠C = 180°

Put ∠C = 90°

∠A + ∠B + 90° = 180°

∠A + ∠B = 90°

Taking cos with each term.

cosA+cosB = cos (90)

cosA+cosB = 0

cosB=-sinA

Hence, cosB = sinA.

Answer:

1 I think I'm not 100% sure though

Step-by-step explanation:

85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer

Answer:

2. 3ft per second and 4ft per second

3. 9 cars every minute and 10 cars per minute

4. 48 miles per hour and 46 miles per hour

5. $3.5 for one box and $3.25 for one box

Step-by-step explanation:

2. 12/4 and 20/5

You have to split it up per second. Therefore dividing it will show you how fast it is moving per second.

3. 72/8 and 60/6

You have to split it up per minute. Therefore dividing it will show you how fast it is moving per minute.

4. 144/3 and 230/5

You have to split it up per hour. Therefore dividing it will show you how fast it is moving per hour.

5. 21/6 and 13/4

You have to split it up per box. Therefore dividing it will show you how much each box costs.

Answer:

D

Step-by-step explanation:

checked it over as well

Answer:

Morgan walks 2 miles per hour.

Step-by-step explanation:

Answer:

d Morgan walks 2 miles per hour.

Step-by-step explanation:

Answer:

he gained 6 dollars

Step-by-step explanation:

30 x 0.2

Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Lets suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

It is given that Tom bought a pen for $30 and sold it to gain 20% on his cost price.

Therefore,

30 x 20%

30 x 0.2 = 6 dollars

Thus, he gained 6 dollars.

Hence, Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ6

Answer:

50

Step-by-step explanation:

22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how  to really explain that well. But the answer is 50, trust me.

Answer:

Assuming there all adults, it would be $1625

Step-by-step explanation:

Answer:

A shock absorber?

Step-by-step explanation:

9514 1404 393

Answer:

  A, D

Step-by-step explanation:

The length desired is opposite the given angle. The length given is adjacent to the given angle, so the tangent relation applies:

  Tan = Opposite/Adjacent

  tan(25.4°) = x/1600 . . . . . . . matches 1st choice

Multiplying by 1600 gives ...

  x = 1600·tan(25.4°) . . . . . . . matches 4th choice

Answer:

300

Step-by-step explanation:

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

Answer: see below proof

Step-by-step explanation:

Imagine a diagonal line AC

If AB = DC and AB // DC then angle BAC =

Angle ACD Alternate Interior angles theorem.

Then if AB = AD and angle BAC = angle ACD and AC = AC then triangle ABC is congruent to triangle CDA.

If triangle ABC is congruent to triangle CDA then AD = BC because congruent parts of congruent triangles are congruent.

If triangle ABC is congruent to triangle CDA then angle ACB = angle CAD because congruent parts of congruent triangles are congruent.

If angle ACB = angle CAD then AD // BC because of the alternate interior angles theorem.

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

Answer:

c  126.27 square feet

Step-by-step explanation:

sum of two triangles

18.3 * (13.8/2) * 2 = 126.27

Answer:

Concept: Piece values

Answer:

httfjydkyhfkugfufluyfluyflu

Step-by-step explanation:

Answer: [tex]x = 0[/tex]

Step-by-step explanation:

First, we need to get x alone.

To do this we must add -3 + 11. Which will get you 8.

The new equation will now be: [tex]x / 8 = 8[/tex].

Then, we continue to evaluate by subtracting 8 from the area where x is. But as you know, what we do to one side. We must do to the other.

So we subtract 8 from one side, and we subtract 8 from the other.

So the last equation would be.

[tex]x = 0[/tex]

Answer:

d

Step-by-step explanation:

7 times a number would be 7n and with addition you can move the numbers around and it won't affect the result.

Answer:

Hello there

Step-by-step explanation:

Hope you figure it out the answer

Answer:

The value of u is 5.2

Step-by-step explanation:

.msd

Answer:

B) $28.61

Step-by-step explanation:

Average  spending per week:

85.84 ÷ 3 ≈ 28.61

Answer:

-5, -7 or its -7, -5

Step-by-step explanation:

Answer:

-7 -5

Step-by-step explanation: