Answer:
h ≤ 124 / 9
or
h ≤ 13.78
Step-by-step explanation:
(3/4) (12h - 32) ≤ 100 (multiply both sides by 4)
(3) (12h - 32) ≤ 100 (4)
(3) (12h - 32) ≤ 400 (distribute 3 into the parenthesis)
(12h)(3) - (32)(3) ≤ 400 (expand left side terms)
36h - 96 ≤ 400 (add 96 to both sides)
36h ≤ 400 + 96
36h ≤ 496 (divide both sides by 36)
h ≤ 496 / 36 (sinmplify)
h ≤ 124 / 9
or
h ≤ 13.78
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
Answer:
x
=
−
500
b
−
50
a
+
R
±
√
250000
b
2
+
2500
a
2
−
100
a
R
+
1000
b
R
+
R
2
+
50000
a
b
2
a
b
Step-by-step explanation:
