Answer:

Explanation:
Here, we want to get the value of sine S
The sine of an angle is the ratio of the opposite side to the hypotenuse side
The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10
The opposite is the side that faces the angle which is 6
We have the sine as:
4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality
Answer:
29.56
Step-by-step explanation:
From the given diagram
x = hypotenuse
27 = adjacent
Using SOH CAH TOA identity
cos theta = adj/hyp.
Cos 24 = 27/x
x = 27/cos24
x = 29.56
Hence the value of x to the hundredth place is 29.56
Answer:
1/36
Step-by-step explanation:
In two six-sided dice, there is only one way of getting a 12. That is with 2 6s.
There are a total of 36 possibilities (6^2). 1/36
Hope this helps!