Answer:
000.212
Step-by-step explanation:
The angle on one side of a straight line is 180°, so 40° + 60° + h = 180°.
If you rearrange this you will get h = 180° - 60° - 40°, this will give you: h = 80°.
Hope this helps
Answer:
y = 7 sqrt(2)
Step-by-step explanation:
Since this is a triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = 7/y
y sin 45 = 7
y = 7/ sin 45
y = 7 / (1/sqrt(2) )
y = 7 sqrt(2)
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
#LearnwithBrainly
Graph A is correct. The ≥ sign is correct because the gray area is above the red. x^2 has a positive coefficient which corresponds to the opening-up parabola.