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Yanka [14]
2 years ago
15

If csc θ=8/7, which equation represents cotθ

Mathematics
1 answer:
TEA [102]2 years ago
6 0
Sin θ = opposite leg/hypotenuse 
csc θ = hypotenuse /opposite leg =8/7

cot <span>θ = adjacent leg/opposite leg

hypotenuse =8
opposite leg =7
We need to find adjacent leg.

(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + </span>(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15

adjacent leg=+/-√15
<span>WE need only positive root,
so </span>adjacent leg =√15

cot θ = √15/7 or 0.5533<span>

</span>
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Pls answer
cluponka [151]

Answer:

8.49\ units

Step-by-step explanation:

we know that

The Pythagorean Theorem states that in a right triangle

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs

In this problem

Let

c=AB ---> distance from point A to point B

a ---> the difference of the x-coordinates both points

b ---> the difference of the y-coordinates both points

so

a=1-(-5)=6\ units\\b=6-0=6\ units

substitute

AB^2=6^2+6^2

AB^2=72

AB=\sqrt{72}\ units

AB=8.49\ units

6 0
2 years ago
What is - 15 +6f = 5
Keith_Richards [23]

Answer:

f = 10/3

Step-by-step explanation:

-15 + 6f = 5

-15 + 15 + 6f = 5 + 15

6f = 20

6f/6 = 20/6

f = 20/6 = 10/3 = 3.333...

8 0
3 years ago
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Sliva [168]
You could not do that then you would gey 110.25 which is what is not the question
5 0
3 years ago
The graph of y= 3x-2 is translated up 5 units. What is the new equation of the graph.
algol13

Answer:

y = 3x + 3

Step-by-step explanation:

If the entire line, or rather, the graph, is translated upwards by 5 units; the slope stays the same, but the y-intercept rises by 5 as well. Thus, the equation of the new graph would be;

y = 3x (-2+5)

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6 0
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