There is not a real way to justify this, but I saw first that 400-80 equals 320 which is double 160. This made me think that the period of time during this was 2 hours. The car drove 80 miles in two hours and the plane flew 400 miles in 2 hours. The period for one hour would be 40 mph for the car and 200 mph for the plane. 200-40=160. I have no idea how to prove it though and I’m hoping you can go backwards.
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
N=1→f(n)=f(1)=-5.25 (First term)
f(n)=f(n-1)+1.75, for n=2, 3, 4, ...
Second term:
n=2→f(2)=f(2-1)+1.75=f(1)+1.75=-5.25+1.75→f(2)=-3.5
Third term:
n=3→f(3)=f(3-1)+1.75=f(2)+1.75=-3.5+1.75→f(3)=-1.75
Fourth term:
n=4→f(4)=f(4-1)+1.75=f(3)+1.75=-1.75+1.75→f(4)=0
Fifth term:
n=5→f(5)=f(5-1)+1.75=f(4)+1.75=0+1.75→f(5)=1.75
Answer:
Sequence of the terms:
First, second, third, fourth, fifth:
-5.25, -3.5, -1.75, 0, 1.75
Answer:
72
Step-by-step explanation:
x/6 - 10 = 2
x/6 = 12 (add 10 to both sides)
x = 72 (multiply 6 to both sides)
Answer:
95.7
Step-by-step explanation:
\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}
sinC=
hypotenuse
opposite
=
x
95
\sin 83=\frac{95}{x}
sin83=
x
95
x\sin 83=95
xsin83=95
Cross multiply.
\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}
sin83
xsin83
=
sin83
95
Divide each side by sin 83.
x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}
x=
sin83
95
=95.7134≈95.7 feet
Type into calculator and roundto the nearest tenth of a foot.
