Answer:
0.97
Step-by-step explanation:
It is known that the tangent of an angle is given by the quotient between its sine and its cosine.
Applying the following property:
The cosine of that angle is 0.97.
Answer:
A= $19354.71
At the end of 6 years
Step-by-step explanation:
$14,000 loan at an interest rate of 5.4% for 6 years.
Amount to be paid at the end of the six years is
A= p(1+r/n)^(nt)
P= $14000
r= 0.054
t = 6
n = 6*12 = 72
A= 14000(1+0.054/72)^(72*6)
A= 14000(1+ 0.00075)^(432)
A= 14000(1.00075)^(432)
A= 14000(1.38247941)
A= 19354.71
A= $19354.71
Answer:
Where d is the distance traveled, r is the rate, and t is the time. ... It took Markus half an hour to drive home from work. ... 17. Markus lives 17 miles from work. ... What was his average speed in kilometers per hour? ... per hour, we divide by 60 to find out how many hours it took. t = 20 minutes / 60 minutes per hour. = 1/3 hours.
Step-by-step explanation:
Dennis = 12 km'h
Kathy = 20 km/h
Step-by-step explanation:
- Lets first establish that time is the same for both Kathy and Dennis and we can therefore assign is the value of <em>t</em>
- Kathy is cycling 8km/h faster than Dennis. Therefore if Dennis is doing <em>x </em>km/h Kathy is doing (<em>x</em>+8)km/h
- If it takes Kathy<em> t </em>time to cycle for 60 km at (<em>x</em>+8)km/h, we can derive the time <em>t </em>as;
(<em>x</em>+8)* <em>t </em>= 60
<em>t</em> = 60/(<em>x</em>+8)
- We can now use this time to establsish how fast Dennis is cycling. Dennis, using a speed of <em>x</em> km/h takes the same time (60/(<em>x</em>+8)) to cycle for 36 km. Therefore;
<em>x</em> * 60/(x+8) = 36
= 60x/(x+8) = 36
36 (x + 8) = 60x
36x + 288 = 60x
288 = 60x – 36x
288 = 24x
12 =<em> x </em>
Dennis is cycling at 12 km/h
Kathy is doing x + 8
= 12 + 8 = 20 km/h
Learn More:
For more on deriving equations check out;
brainly.com/question/11888968
brainly.com/question/7742981
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B C are parellagrams the other are NOT
