All categories

4 years ago

Let cos(−θ)=−3/5 and tanθ>0 .

Mathematics

1 answer:

Gnom [1K]4 years ago

4 0

Answer:

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

You might be interested in

There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to

andre [41]

Answer:

1. P(N) = 3/5

2. P(R) = 2/5

3. P(N and R) = 1/4

4. P(N or R) = 3/4

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

P(N) = 3/5

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

P(R) = 2/5

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

P(N and R) = 1/4

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

P(N or R) = 3/4

5 0

3 years ago

West ridge highschool is holding an honor roll banquet. It costs $95 to rent the cafeteria plus $13 for each person attending th

Art [367]

Answer: C(x) = 13x +95

Step-by-step explanation:

Here's the remainder of the question:

If C(x) represents the total cost and x represents the number of people attending the banquet, which equation shows the total cost? A C(x)=95x – 13 B C(x)=13x – 95 C C(x)=95x +13 D C(x)=13x +95

Based on the information given in the question, the total cost will be:

= 95 + 13(x)

= 95 + 13x

Therefore, the correct answer will be C(x)=13x +95

5 0

3 years ago

I WILL GIVE BRAINLIEST JUST PLEASE HELP ME

Alex777 [14]

Answer:

3 lol

Step-by-step explanation:

7 0

3 years ago

Simplify √ a^7 , where a>0 Which expression is equivalent to √a^7

Softa [21]

Answer:

$a^{3} \sqrt[]{a}$

Step-by-step explanation:

8 0

3 years ago

What would be the BEST formula to model the volume of the teepee shown

ra1l [238]

V=1/3(bh)
One third of base times height

4 0

3 years ago