Answer:
21 minutes
Step-by-step explanation:
you first have to find how many words she writes in one minute. you do this by dividing 180/3=60. after that divide 1260 by 60 = 21 minutes.
Answer:
80% of 8.75=7. I'm pretty sure this is the reason.
Answer:
C
Step-by-step explanation:
ya boi kinda smart
<span>5x = –25 + 5y ---> 5x - 5y = -25 (1)
10y = 42 + 2x </span>---> 2x - 10y = -42 (2)
divide equation (2) by 2
so
x - 5y = -21
now you have
5x - 5y = -25
x - 5y = -21
-----------------subtract
4x = -4
x = -1
substitute x = -1 into 5x - 5y = -25
5x - 5y = -25
5(-1) - 5y = -25
-5 - 5y = -25
-5y = -20
y = 4
answer
(-1 , 4)
The values of the trigonometry ratios are:
- cos α = - 5/13 and cot α = 5/12
- cot α = -5/12 and sec α = 13/5
<h3>How to solve the
trigonometry ratios?</h3>
<u>1: sin α = -12/13 and tan α > 0, find cos α and cot α</u>
Because tan α > 0, then it means that cos α and sin α are negative
So, we have:
sin²α + cos²α = 1
Substitute sin α = -12/13
(-12/13)² + cos²α = 1
This gives
cos²α = 1 - (-12/13)²
Evaluate the squares
cos²α = 1 - 144/169
Evaluate the difference
cos²α = 25/169
Take the square root of both sides
cos α = - 5/13
The cotangent ratio is represented as:
cot α = cos α/sin α
This gives
cot α = (-5/13)/(-12/13)
Evaluate
cot α = 5/12
Hence, cos α = - 5/13 and cot α = 5/12
<u>2: tan α = -12/5 for α in quadrant IV, find sec α and cot α</u>
Because α is in quadrant IV, then it means that sec α is positive
cot α = 1/tan α
This gives
cot α = 1/(-12/5)
Evaluate
cot α = -5/12
Also, we have:
sec²α = 1 + tan²α
Substitute tan α = -12/5
sec²α = 1 + (-12/5)²
Evaluate the squares
sec²α = 1 + 144/25
Evaluate the sum
sec²α = 169/25
Take the square root of both sides
sec α = 13/5
Hence, cot α = -5/12 and sec α = 13/5
Read more about trigonometry ratios at:
brainly.com/question/11967894
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