Answer:
x=5
Step-by-step explanation:
(8x-8)3/2=64
(24x-8)/2=64 -You are distributing the three
12x-4=64 -You divide the whole thing by two
12x=60 -You subtract the four from both sides
x=5 - You divided the twelve from both sides
Hope this helps!
Step-by-step explanation:
Given :
1- cosA = 1/2
or, CosA = 1 -1/2
Therefore ; CosA = 1/2 = b/h
According to the Pythagoras theorem,
P = root under h^2 - b^2
= root under (2)^2 - (1)^2
= root under 4 -1
= root 3
Again,
SinA = P/h
= root 3 / 2
Answer:
Step-by-step explanation:
Prob at each second, a mosquito lands on your neck =0.5
Prob it bites/it lands = 0.2
Prob it does not bite/it lands = 0.8
Hence in one second prob for getting a bite = 
i.e. 1/100 chance of getting bitten in one second
In 100 seconds number of bites 
Expected time between successive bites = 100
4 feet 6 inches
Step-by-step explanation:
P=2(l+w) [the addition of all sides of the rectangle]
P = 40'
L = 15’6”
So, 40' = 2 (15’6’ + w)
40' = 31’ + 2w
9' = 2w
4’6” = w
If it's easier you can break it change feet into inches and then change back to feet.
Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.