According to the y = mx + b equation, the "m" would represent the slope and "b" is the y-intercept
So m=2 should be your answer
Answer:
<u>Identities used:</u>
- <em>1/cosθ = secθ</em>
- <em>1/sinθ = cosecθ</em>
- <em>sinθ/cosθ = tanθ</em>
- <em>cosθ/sinθ = cotθ</em>
- <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
- (1 - sinθ)/(1 + sinθ) =
- (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
- (1 - sinθ)² / (1 - sin²θ) =
- (1 - sinθ)² / cos²θ
<u>Square root of it is:</u>
- (1 - sinθ)/ cosθ =
- 1/cosθ - sinθ / cosθ =
- secθ - tanθ
<h3>Question 2 </h3>
<u>The first part without root:</u>
- (1 + cosθ) / (1 - cosθ) =
- (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
- (1 + cosθ)² / (1 - cos²θ) =
- (1 + cosθ)² / sin²θ
<u>Its square root is:</u>
- (1 + cosθ) / sinθ =
- 1/sinθ + cosθ/sinθ =
- cosecθ + cotθ
<u>The second part without root:</u>
- (1 - cosθ) / (1 + cosθ) =
- (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
- (1 - cosθ)²/ (1 - cos²θ) =
- (1 - cosθ)²/sin²θ
<u>Its square root is:</u>
- (1 - cosθ) / sinθ =
- 1/sinθ - cosθ / sinθ =
- cosecθ - cotθ
<u>Sum of the results:</u>
- cosecθ + cotθ + cosecθ - cotθ =
- 2cosecθ
Answer:
216
Step-by-step explanation:
If she makes 5/6 foul throw shots, she misses 1/6;
So, if she misses 36 foul shots missed, she attempts 6 times as many;
Therefore, we just need to multiply 36 by 6:
36×6 = 216
<h3><u><em>
Answer:</em></u></h3><h3><u><em>
30</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
Answer: 30 gallons</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>
Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>
Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em>
</em></u></h3>
<u><em></em></u>
Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is 
, where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that 
. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:
The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:
The height of the triangle is 60 centimeters.
