Answer:
x = 1.6 rads
Step-by-step explanation:
<u>In radian format</u>:
Length of arc = ..........where x is the angle and r is radius.
Here the length of arc is 14 inches and radius given 9 inches
using the formula:
- rads
A - avocados, G - grapes, K - kiwis.
We know that: A = 3G, K = A - 0.75
So: G = A / 3
A + G + K = 16.75
A + A/3 + A - 0.75 = 16.75
7/3 A = 16.75 + 0.75
7/3 A = 17.50
A = 17.50 : 7/3
A = $7.50
G = 7.50 : 3 = $2.50
K = 7.50 - 0.75 = $6.75
Answer:
Prices of the fruits are A = $7.50, G = $2.50 and K = $6.75.
Answer:
angle RUS = 65 degrees
angle STU = 90 degrees
Step-by-step explanation:
(a) find angle RUS
Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees
Since US is the diameter,
angle URS is a right-angle.
Consider triangle RUS,
sum of angles of a triangle = 25+90+RUS = 180
solve for
RUS = 180 - 25 - 90 = 65 degrees.
(b) Find STU
All diameters span a right angle at the circumference,
since we're given US is a diameter, this means that
angle STU is a right angle.
Answer:
maximum revenue is 114005
Step-by-step explanation:
for the function R(p) to attain its maximum value R'(p) must be 0.
that is the slope of R(p) must be 0.
R(p) =
R'(p) =
therefore
therefore R(p) is maximum when p = 151
therefore R(151) =
= 114005
Answer:
1. 600 watts
2. 35640 J
3. 55%
4. 20 J
5. The cost of running the fire is 8p.
Step-by-step explanation:
1. Energy = 36 000 J , t = 1 minute = 60 seconds
Power =
=
= 600 watts
2. Power =
⇒ work done = Power × time
= 99 × 360
= 35640 J
3. Efficiency = (Output / Input) × 100
= × 100
= 55%
4. Work done = Force × distance
= 5 × 4
= 20 J
5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.
Power =
Energy = Power × time
= 4 × 4
= 16 KWh
The cost of running the fire =
= 8p