Answer:
24.8
Step-by-step explanation:
We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .
→ 'x' is the hypotenuse
→ 12 is opposite
→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so
Sin = Opposite ÷ Hypotenuse
Hypotenuse = Opposite ÷ Sin
→ Let's substitute in the values
Hypotenuse = 12 ÷ Sin(29)
Hypotenuse = 24.7519841
So the value of x is 24.8 to 1 decimal place
Looks like all you have to do it multiply the numbers together; there is no application of the Distributive Property to these problems.
The square root of a -36 simplifies to "6i". So you have 3+/- [6i/6]. The 6's cancel each other out leaving 3+/-i. So the "a" is 3 and the "b" is 1
Answer:
Step-by-step explanation:
- (3a²b) /(5ac) x (10c) /(6ab) =
- (3ab)/(5c) × (5c)/(3ab)
- 1
Answer:
Question 13: x = 47°
Question 14: x = 67°
Step-by-step explanation:
Question 13:
add up all the known factors meaning 16, 27 and 90°, then subtract 180 from what you got from adding known factors
Question 14:
out out of all numbers meaning 19, 4 and 90°, then subtract 180 from what you got from adding all known factors