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Archy [21]
3 years ago
12

Given that cot(θ)= -√5/3 and cos(θ) < 0, find sin(θ)

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

D. 3√14 /14

Step-by-step explanation:

given that cot(θ)= -√5/3 and cos(θ) < 0

cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.

cot(θ)= -√5/3 => x = -√5 , y = 3

h = √(-3)²+5 =√14

so, sin(θ) = y/h = 3/√14 = 3√14 /14

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Raul has 56 bouncy balls. he puts three times as many balls into red gift bags as he puts into green gift bags. if he puts the s
Oksi-84 [34.3K]

Raul has 56 bouncy balls

he puts the balls into red gift bags and green gift bags

so lets say he puts x number of balls into green gift bags

then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags

so the number of balls he puts into red gift bags is - 3 * x = 3x

the total number of balls = 56

so we can write the following equation

x + 3x = 56

4x = 56

x = 56/4

x = 14

therefore the amount of balls he puts into green bags is - 14 balls


6 0
3 years ago
Read 2 more answers
Pls help i will mark brainliest
Sladkaya [172]

Answer: D

Step-by-step explanation: D

8 0
3 years ago
Read 2 more answers
There are 7 women and 9 men if 2 are promoted what is the probability they are both men
Artist 52 [7]

Answer:

3/10

Step-by-step explanation:

Total number of employees = 7 + 9 = 16

Probability of a man being chosen first to be promoted = 9/16

Probability of the second choice is still a man for promotion = 8/15

Why 8/15?

The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8

The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15

Hence Probability of choosing 2 men for promotion = 9/16 x 8/15 = 3/10

5 0
4 years ago
Find x, y and z for the following triangle. ​<br>Please show the steps with details, Thanks!
Lubov Fominskaja [6]

Answer:

x = 100°

y = 125°

z = 55°

Step-by-step explanation:

A straight line is 180°

A triangle is 180°

Solve in this order:

X: 180 - 80 = 100

Z: 180 - 80 - 45 = 55

Y: 180 - 55 = 125

5 0
3 years ago
ANSWER PLEASSSSSSSSSSSE
kolezko [41]

Answer:

The answer is A hope this helps

Step-by-step explanation:

3x^2+14x+16=0

(3x+8)(x+2)=0

x=-8/3 or -2

7 0
3 years ago
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