Answer: D
Step-by-step explanation: By using SOH for sin A, 'S' being sin, 'O' being opposite side of angle A and 'H' being the hypotenuse which is the longest part of the triangle you would find that 15 is opposite from Sin A and 17 the hypotenuse, 15/17.
For cos A you would use CAH, C= cos, A which is the adjacent of the triangle located next to angel A which is 8, and H= hypotenuse (also note that the hypotenuse never changes even if the angle may be different) CAH would be cos A = 8/17
9514 1404 393
Answer:
(d) ∅
Step-by-step explanation:
Subtracting y from both sides gives ...
4 = -5
There is no value of y that will make this true. <em>There is no solution to the equation</em>.
The solution set is the null set: ∅.
Answer:
44664.59503
Step-by-step explanation:
Hello,
In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".
In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)
P = 2.78×10¹¹
Q = 3.12×10⁻³
p / q = 2.78×10¹¹ / 3.12×10⁻³
p / q = 8.91×10¹³
The 3 radical = 3√(8.91×10¹³)
3√(p/q) = 44664.59503
Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:

where
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)

Now we can use the trig ratios:


Therefore, sin(x) = cos(y)
Answer:
The expression that uses the distributive property to represent the sum of 39 + 27 is 
Step-by-step explanation:
Given
Expression: 39 + 27
Required
Express using the distributive property
The distributive property is represented in the form a(b + c)
So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)
Equate these two expressions, we have

Factorize the expression on the left hand side

Simplify fraction

Compare expression on left hand side with the expression on the right hand side.
Since, they have the same format, then we've arrived at the answer.
Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is 