Answer:
x = 38°
Step-by-step explanation:
Complementary angles = 90°
90° = x + x+14
90° = 2x + 14
104 = 2x
x = 52°
the next angle should be 52 - 14 = 38°
So x = 38°
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Answer:
Step-by-step explanation:
The formula for the circumference of a circle in terms of diameter is ...
C = πd
Then the diameter is ...
d = C/π
If we use π ≈ 22/7 and C = 66 ft, then we find the diameter to be ...
d = (66 ft)/(22/7) = (66 ft)(7/22) = 21 ft
The diameter of the pool is about 21 feet.
__
Since Carlos needs 4 more feet of rope, he will want to buy 25 feet of rope for a cost of ...
(25 ft)($0.45 /ft) = $11.25
Carlos will pay $11.25 for the rope.
Answer:
The farthest distance would be 32.5 miles
Step-by-step explanation:
Given,
Speed = 65 miles per hour,
If t represents the time ( in hours ) taken in travelling,
Since, time has to commute down less than 30 minutes,
Also, 1 hour = 60 minutes,
Thus,
i.e. the highest time taken = 1/2 hours,
We know that,
Distance = speed × time,
∵ Distance ∝ time,
⇒ Distance will farthest for largest time taken,
Hence, the farthest distance = 
= 32.5 km.
Answer:
21 miles/gallon
Step-by-step explanation:
To find his mileage in miles/gallon, divide the number of miles by the number of gallons.
315/15
= 21
= 21 miles/gallon
Answer:
x = 2 ± 2 sqrt(5)i
Step-by-step explanation:
(x – 2)^2 + 20 = 0
Subtract 20 from each side
(x – 2)^2 + 20 -20=0 -20
(x – 2)^2 =- 20
Take the square root of each side
sqrt((x – 2)^2) =±sqrt(- 20)
x-2 = ±sqrt(- 20)
We know sqrt(ab) = sqrt(a) sqrt(b)
x-2 = ±sqrt(- 1) sqrt(20)
We know the sqrt (-1) = i
x-2 = ±i sqrt(4*5)
x-2 = ±i sqrt(4) sqrt(5)
Add 2 to each side
x-2+2 = 2 ±i sqrt(4) sqrt(5)
x = 2 ±i 2 sqrt(5)
x = 2 ± 2 sqrt(5)i
