Answer:
30. A right triangle has one angle that is 90°
All angles add to 180°
180 - 90 - 60 = 30
Step-by-step explanation:
Answer:
Therefore,
The temperature at midnight after those 12 hours,

Step-by-step explanation:
Given:
At noon the temperature was 10 degrees,
After every hour the temperature dropped 2 degrees for the next 12 hours,
Therefore,
For one hour, Temperature dropped 2 degrees
For 12 hour, Temperature dropped = 2 × 12 = 24 degrees
Initial Temperature = 10°
So, Temperature after 12 hour at midnight,

Therefore,
The temperature at midnight after those 12 hours,

Answer:
The answer to your question is:
a) 240 and 300°
b) 120 and 240°
Step-by-step explanation:
You can see the right triangle below (sorry for my handwriting)
I suggest you to memorize the right triangles for 30°, 60° and 45°, they will be very useful.
To solve these questions, you need to work with the right triangle of 60°.
a)
Remember that sine Ф = opposite side / hyp
then sine 60 = √3 / 2 the answer is 60 but it is negative so you need to look for these angles in thtethird and forth quadrangles.
third q = 180 + 60 = 240° forth q = 360 - 60 = 300°
b)
Work with the same triangle
sec Ф = hyp / adjacent side
sec 60 = 2 / 1 = 2 the answer is 60°
but as it is negative you have to look for angles in the second and third quadrangle.
They will be 180 -60 = 120° and 180 + 60 = 240°
Answer:
x = -1.4
Step-by-step explanation:
Subtract the right side and simplify.
5 - 6(2 - x) - (x - 14) = 0
5 - 12 + 6x - x + 14 = 0 . . . . parentheses eliminated
7 + 5x = 0 . . . . . . . . . . . . . . terms collected
1.4 + x = 0 . . . . . . . . . . . . . . divide by 5
x = -1.4 . . . . . . . . . . . . . . . . . add the opposite of the constant
_____
Check
5 -6(2 -(-1.4)) = (-1.4) -14
5 - 6(3.4) = -15.4
5 -20.4 = -15.4 . . . . . true. Answer checks OK.