Answer: 10 cosec (62°)
Step-by-step explanation:
The given triangle in the problem is a right triangle. This means that we can use SohCahToa to solve for the length of our hypotenuse (Line A to C).
** SohCahToa is a way for you to memorize special trigonometric functions that can be used:
Soh - Sin = Opposite / Hypotenuse
Cah - Cos = Adjacent / Hypotenuse
Toa - Tan = Opposite / Adjacent **
For this triangle, we can use the angle, 62°, to determine the hypotenuse. We will use x to represent the value between A and C. If you examine the sides of the triangle, you'll see that the side opposite of our angle is 10.
Because we have values that are located opposite to the angle and on the hypotenuse, we will use Sin(θ) = Opposite / Hypotenuse.
** θ represents your angle **
Sin(θ) = 10 / x
We want x by itself so you'll need to multiply x to both sides and then divide by sin(θ). This should give you the following: x = 10 / sin(θ)
Being that 1 / sin(θ) = cosec(θ), you can substitute 1 / sin (θ) for cosec(θ).
This would give you x = opposite •
cosec(θ) which is the same as x = 10 cosec (62°).
I apologize if I didn't explain that clearly enough :/ I hope it helps you out a lil bit though!
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Yes 8.224 is a rational number! :)
The first statement comes about because
a could be (say) 5
b could be (say) 6
Then c would be square root of 25 + 36 = 61 which is irrational.
I'm not sure of the wording of the second one. It reads like (5 + 6)^2 = 121 the two rationals added together make a rational number in my example. So I think that part is wrong. the second part is correct. For example sqrt(5) + sqrt(6) doesn't produce anything that is rational.
It doesn't have to. pi^2 + [cube root(10)]^2 does not produce anything rational and that is certainly not a perfect square. My first example shows that as well
I think the last one might be true.
Answer:
The cost of one pass is 25$
Step-by-step explanation:
Call the cost of one of the passes, P. So we have
63 = 13 + 2P - subtract 13 from both sides
50 = 2P - divide both sides by 2
25 = P
So the cost of one pass = $25