2 meters were used in 10 masks
2meters/10masks= 0.2meters per mask
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
75m + 800 = 95m + 500
Solve that equation
Which should get you m=15
15 is your answer
So Basically, these are similar. So that means that (2x/5.5)=(3x-3/7.5). Then when you cross multiply, you find that x=11. So that means BA/FE=22/5.5=4. You can verify by checking (3*11-3)/7.4=4. So now that you know the scale factor is 4, just do 4*8=32.
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.