Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?. . a.The distance from pole 1 to pole 3 is equal to the distance from Cynthia to pole 1.. . b.The distance from pole 1 to pole 3 is equal to the distance from pole 3 to pole 2.. . c.The distance from Cynthia to pole 3 is equal to the distance from pole 3 to pole 2.. . d.The distance from Cynthia to pole 3 is equal to the distance from Cynthia to pole 1.

Answers

Answer 1

Answer: Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?

Answer: Out of all the options shown above the one that best represents the statement that is true with respect to Cynthia’s position is answer choice D) The distance from Cynthia to pole 3 is equal to the distance from Cynthia to pole 1. The reason being that it is the same as the radius of a circle. If you picture in your mind this analogy you will understand.

I hope it helps, Regards.

Answer 2

Answer: The statement that is true with respect to cynthia's position if she is standing at the center of a circular playground would be :
D. The distance from cynthia to pole w is equal to the distance from Cynthia to pole 1
They have similar radius count

hope this helps

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Use the relation S { (3,4) , (2,3), (1,2), (2,1)} for questions 1 and 21. State the domain and range of S
2. Is S a function? Explain your reasoning.

Answers

Answer:

HOPE THIS HELPS!!

Step-by-step explanation:

1. The domain and range of relation S are as follows:

Domain: The domain refers to the set of all input values in a relation. In this case, the domain of S is {3, 2, 1}, which corresponds to the first element of each ordered pair in the relation.

Range: The range refers to the set of all output values in a relation. In this case, the range of S is {4, 3, 2, 1}, which corresponds to the second element of each ordered pair in the relation.

2. No, relation S is not a function.

To be considered a function, each input value (or element in the domain) should have only one corresponding output value (or element in the range). However, in the given relation S, the input value 2 is associated with both the output values 3 and 1.

Since one input value is associated with multiple output values, S fails the definition of a function.

The circle graph shows Tommy Blox spent the money he earned last summer. If he spent $80 on entertainment, how much did Tommy earn altogether?

Answers

Answer:

Tommy earned $250 altogether.

Step-by-step explanation:

Let the total earning of Tommy be 'x' dollars.

Given:

Money spent on entertainment = $80

From the circle shown below:

Percent spent on clothes = 19%

Percent spent on food = 25%

Percent spent on other things = 14%

Percent of savings = 10%

Addition of all percents = 100%

⇒ 19% + 25% + 10% + 14% + % Entertainment = 100%

⇒ 68% + % Entertainment = 100%

⇒ % Entertainment = 100% - 68% = 32%

Therefore, as per question:

$32\%\ of\ x=\$80\n\n0.32x=80\n\nx=(80)/(0.32)\n\nx=\$250\n$

Hence, Tommy earned $250 altogether.

Sin43×cos47+cos47×sin43

Answers

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

sin43×cos47+cos47×sin43 = sin(43 + 47)

= sin(90) = 1

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is 3 and the coordinate of point Y is –2.What is the coordinate of point Z

______

Answers

Coordinate of point Z is 8. That is because the distance from point X to point Y is 3-(-2)=3+2=5, and same is from point X to point Z: 3+5=8. So the answer is Z=8.

Christopher is getting a mortgage for a house and will borrow $700,000. For this mortgage, the amortized loan requires annual payments for 22 years at a 4.5% annual interest rate. How much of the first payment (to the nearest cent) is the interest owed for the first year of the loan?

Answers

Answer:

Step-by-step explanation:

How to find the amount of interest owed for the first year of the loan?

To calculate the interest owed for the first year of the loan, we need to consider the loan amount, the annual interest rate, and the loan term.

In this case, borrowing $700,000 for 16 years at an annual interest rate of 7.4%.

The interest owed for the first year can be determined by multiplying the loan amount by the annual interest rate:

Interest = Loan Amount * Annual Interest Rate

Interest = $700,000 * 0.074

Calculating this, we find that the interest owed for the first year is approximately $51,800.30.

Is the ordered pair (1, 4) a solution to the equation y = 2x + 1?If yes, is it the only solution?

A.
No, because the ordered pair does not fit the equation.

B.
Yes, but this ordered pair is not the only solution to the equation.

C.
Yes, and it is the only ordered pair that fits the equation.

Answers

Let's plug in x-coordinate x=1:

y = 2(1)+1 = 2 + 1 = 3, which is not 4.

So the answer is A.

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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?Answers:(–3, –0.90)(–2.5, –0.75)(4.5, 1.35)(8, 2.40)

A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90 degrees What are the coordinates of B'?