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Bumek [7]
2 years ago
15

The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
6 0

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

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Charles has a collection of dimes and quarters worth $1.25. He has 8 coins. Write a systems of equations to represent this situa
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Answer:

* The systems of equations are:

# d + q = 8 ⇒ (1)

# 10d + 25q = 125 ⇒ (2)

Charles has 5 dimes and 3 quarters

Step-by-step explanation:

* Lets explain how to solve the problem

- Charles has a collection of dimes and quarters worth $1.25

- He has 8 coins

* To solve the problem remember that:

# 1 dim = 10 cents

# 1 quarter = 25 cents

# 1 dollar = 100 cents

- Assume that the number of dimes is d and the number of

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∵ Charles has 8 coins

- The number of dimes and the number of quarters equal the

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∴ d + q = 8 ⇒ (1)

∵ 1 dime = 10 cents

∴ The value of dimes = 10 × d = 10d

∵ 1 quarter = 25 cents

∴ The value of quarters = 25 × q = 25q

∵ The collection worth $1.25

∵ 1 dollar = 100 cents

∴ The collection worth = 1.25 × 100 = 125 cents

∴ 10d + 25q = 125 ⇒ (2)

* The systems of equations are:

# d + q = 8 ⇒ (1)

# 10d + 25q = 125 ⇒ (2)

* Lets solve the equations

- Multiply equation (1) by (-10) to eliminate d

∴ -10d + -10q = -80 ⇒ (3)

- Add equations (2) and (3)

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∵ d represents the number of dimes and q represents the number

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∴ Charles has 5 dimes and 3 quarters

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C, D,F

Step-by-step explanation:

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By definition, congruent triangles should have all the corresponding sides and all the corresponding angles equal or congruent to each other. Thus, in the given question, all corresponding sides and angles of ΔEFG and ΔE'F'G' should be congruent. But, as we can see clearly it is given that, EF = 10 and E'F'= 12, thus, the corresponding sides EF and E'F' are not equal. Thus, we can never prove that:

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Equations derived from given info.

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Use some substitution now.

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