What is the scale factor??

Answer:

1. 180 degrees

2. 4

3. 8π

4. 8:1

5. 12.5 feet

6. 3 revolutions

7. π/2

8. 64π

Step-by-step explanation:

1. For the first question, we are given that there are 120 degrees in 1/3 of a circle. This makes sense because a complete circle makes up 360 degrees (3*(1/3)). Two figure out how many more degrees there are in 5/6 circle, we first need to figure out how many degrees are in 1/6 of a circle and then 5/6 of a circle. If there are 120 degrees in 1/3 of a circle, there are 120/2 or 60 degrees in 1/6 of a circle (1/6 is half of 1/3). If we multiply this by 5 (because 1/5 * 5 = 5/6), we get that 5/6 of a circle is 60*5 or 300 degrees. That being said, the question is asking us how many more degrees there are in 5/6 circle than 1/3. We know that there are 120 degrees in 1/3 of a circle, so we can do 300 - 120 to figure out the answer, which comes out to be 180 degrees.

2. For the second question, we are given that the area of the circle is 4π. We know that the formula for the area of a circle is \(\pi r^{2}\), which means the radius squared of the circle given is 4 (divide by π). If we take the square root of 4, we get the radius of our circle to be 2. Now, all we have to do is figure out the diameter. The radius is the distance between a point on the circle and the center. The diameter is just double this distance because it is the distance between one point on a circle and another point on the exact opposite side (the diameter line segment goes through the center). Since the radius is 2, the diameter has to be 4.

3. For the third question, we are given that the radius of a circle is 4 and we need to figure out the circumference (q). We know that the formula for the circumference of a circle is πd, or 2πr (r is the radius). We can plug the known radius into the equation and solve for the circumference. If we plug in r = 4, we get that the circumference (q) is 2(4)(π), or 8π.

4. For the fourth question, we are given that the radius of circle Q is 4 times the size of the diameter of circle R. We know that the diameter of any circle is just double the size of the radius. This means that, if the radius of circle Q is four times the diameter of circle R, the diameter of circle Q is 4(2) or 8 times the size of the diameter of circle R. This can be represented in ratio form as 8:1 (as in, if the diameter of circle R was 1, the diameter of circle Q would be 8, which is 8 times the size).

5. For the fifth question, the distance traveled in one revolution of a circle is the same as the circumference of the circle. You can imagine a circle and a point on it that is touching the ground. The circumference of this circle (the length of the circle) is the same as the distance traveled between the time the point touches the ground to the time it touches the ground again. Please feel free to let me know if this doesn't make sense. I will try to draw it out. Anyway, we are given the diameter of this wheel (4 feet), and we know that the circumference of a circle is π*d, so the circumference, in this case, would be 4π, which is approximately 12.5 feet.

6. For the sixth question, we just need to figure out the circumferences of the two wheels and compare them. If we go back to the fifth question, we know that the distance traveled by a wheel in one rotation is the same as its circumference. Let's say that the radius of the rear wheel is x. This means that the radius of the front wheel is 3x. The circumference of a circle is 2πr, which means the circumference of the front wheel is 6πx and the circumference of the rear wheel is 2πx. The circumference of the front wheel is 3 times the size of the rear wheel's circumference, which means that it will take 3 revolutions of the rear wheel to complete 1 revolution of the front wheel

7. For the seventh question, if AD is a half circle, that means the side of the square that connects A and D is the diameter of the circle. We know that this diameter is 2 because the length of each side of the square is 2. If the diameter is 2, that means the radius of the half-circle is half of that, or 1. The area of a circle is πr^2, so this circle has a radius of π (r^2 is 1). A half-circle has half of the area of a full circle, so the area of this half-circle would be π/2.

8. For question 8, we know that the circumference of circle A is 8π, and the circumference of any circle is 2πr. This means the radius of circle A is half of 8, or 4. We are given that the radius of circle B is twice the radius of circle A, which means the radius of circle B is 8. The area of a circle is πr^2, and r^2 for circle B is 8^2 or 64. Therefore, the area of circle B is 64π.

The equation of the line that passes through the points (4,−3) and (2,−4) is y = 1/2x - 5

The general formula for calculating the equation of a line is expressed with the given equation;

y = mx + c

the parameters of the equation are;

From the information given, we have;

Slope, m = y₂ - y₁/x₂ - x₁

Substitute the values

Slope, m = -4 - (-3)/ 2 - 4

subtract the values

Slope = -1/-2 = 1/2

Then, the intercept is;

-4 = 1/2(2) + c

c = -4 - 1 = -5

The equation , y = 1/2x - 5

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Answer:

300

Step-by-step explanation:

Step-by-step explanation:

It's a mixture of different gases. The air in Earth's atmosphere is made up of approximately 78 percent nitrogen and 21 percent oxygen

Answer:

-90 feet cause it’s 210 - 300 = -90

Answer:-90

Step-by-step explanation:

210-300=-90

Answer:

2

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Assuming the 3/8 markers are counting the lines on the number line, not the chunks in between the lines, there are 7 markers that are in the shaded area and another half distance between two markers at the end.

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.

So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:

image

You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.

Let’s do some math!

image

So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.

Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.

His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.

Answer:

it has no solution because after solving we get 1=12 which is not equal and neither its a value of x.

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer:

9 feet easy to solve this is answer

Answer:

B rolling an odd number on a fair 6-sided number cuberolling an odd number on a fair 6-sided number cube

Step-by-step explanation:

\(probability = \frac{3}{6} \\ = \frac{1}{2} \)

Answer:

37

Step-by-step explanation:

First, we need to find the sum of all the numbers of the dice. The expression 3(1 + 2 + 3 + 4 + 5 + 6), or 3(21) does that for us. 3 × 21 = 63. So the sum of all of the numbers of the dice is 63. But we already know 7 of the numbers there: 2, 3, 1, 6, 5, 4, 5. In the expression 3(21), we counted these numbers as well. So now we can add these 7 numbers together then subtract them from 3(21), or 63. We can write the expression 3(21) - (2 + 3 + 1 + 6 + 5 + 4 + 5), or 3(21) - 26 = 63 - 26 = 37.

The required sum of the numbers on all the faces that are not visible is 37.

Given that,

Three dice, each with faces numbered 1 through 6, are arranged as shown. Seven faces are visible.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Sum of not visible number = 3[1 + 2 + 3 + 4 + 5 + 6] - [sum of visble number]
                                              = 63 - 25 = 37

Thus, the required sum of the numbers on all the faces that are not visible is 37.

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Answer:

The answer is C.

Reasoning:

No other numbers match up but D)

When you divide 24 by 8 you get 3 and 3 times 9 is 27

Answer:

D.Reasoning

Step-by-step explanation:

Answer:

1/5 or 20%

Step-by-step explanation:

Probability = favorable outcomes

                   total num. of outcomes

Probability =  2

                      10

Find the GCF, 2.

2 ÷ 2 = 1

10 ÷ 2 = 5

1/5

sorry if it's wrong

Answer:

The probability of choosing a green shirt is 20%=1/5=.2

Step-by-step explanation:

find the total amount = 10

Find the total of question (probability of choosing green) = 2

set as a fraction:

Numerator = amount needed (2)

Denominator = all things/objects involved (10)

PS*

With probability there is a good chance the answer is going to be less than 1 or 100%, knowing that can help to tell which number goes in what place of the fraction

ex:

10/2=5=500% (this can't be the answer)

So Flip it 2/10=.2=20% (This seems more of a reasonable answer)

Answer:

If you told me how to put this into math w ay as a equation, I would be glad to solve it for you... I will edit this once I find the right answer! Sorry I couldn't find it right away :(

Step-by-step explanation:

Edit= I think is would be around 149.328 grams because 56 is 62.22 percent of 90 and 62.22 percent of 240 is 149.328. If this is incorrect I apologize in advance!

Answer:

y < 2

Step-by-step explanation:

any number less than 2 makes the equation correct

im sorry if I was wrong.

Answer: 1100

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify

Lastly, multiply both sides by 3

Then finally simplify for your final answer of x = 10

Hope this helps! :)

Answer:

x = 10

Step-by-step explanation:

  x + 10 = 1/3(5x + 10)
  x + 10 = 5/3x + 10/3
3x + 30 = 5x + 10
       20 = 2x
        10 = x

Answer:

Correct Answer: A 12/3=4

hope this helped, comment for further help) :)

Step-by-step explanation:

knowing that the number line goes to 12 is Given, therefore (0,3) (3,6) (6,9) (9,12) is a increase of (3) repeating (4times) giving us the product of 12

3*4 = 12

Answer:

Step-by-step explanation:

A. 63.71

B. 463.71

Answer:

Converting customary units of weight can be helpful in everyday life when you need to measure ingredients for cooking or baking. For example, if a recipe calls for 2 pounds of ground beef, but you only have a scale that measures in ounces, you will need to convert the measurement to ounces to make sure you use the correct amount of beef.

To convert pounds to ounces, you can use the conversion factor of 16 ounces per pound. So, to convert 2 pounds to ounces, you would multiply 2 by 16, which equals 32 ounces.

Another example is when you need to weigh yourself in kilograms, but your scale measures in pounds. To convert pounds to kilograms, you can use the conversion factor of 0.453592 kilograms per pound. So, if you weigh 150 pounds, you can convert that to kilograms by multiplying 150 by 0.453592, which equals 68.04 kilograms.

In general, knowing how to convert between customary units of weight can help you to make accurate measurements and better understand how much of a substance you are using or consuming.

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Write 12% as a fraction: 12/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have: 12/100 of 125.

12/100 × 125

If you are using a calculator, enter 12÷100×125 which will give you 15 as the answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The first table represents the expression 3.25x.

The first table represents the relationship between the values of x and y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y = 3.25x

When x = 0, y = 0

When x = 2, y = 6.5

When x = 5, y = 16.25

When x = 6, y = 19.5

Thus,

The first table represents the expression 3.25x.

The first table represents the relationship between the values of x and y.

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