(a) 28%
(b) 24%
When calculating the total amount of people it come out to 150.
According to the table 42 people smoke. 42/150 is 28%
According to the table 36 people exercise regularly. 36/150 is 24%
<span>a.
The radius of earth is about 6400 kilometers. Find the circumference of
a great circle.
Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km
b. Write an equation for the circumference of any
latitude circle with angle theta
As stated, </span><span><span>the
length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a
great circle of Earth times the cosine of the latitude angle</span>:
=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)
Answer: circumference = 40,212.39 cos(Θ) km
c. Which latitude circle has a
circumference of about 3593 kilometers?
Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km
=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad
Answer: 1.48
d. What is the circumference of
the Equator?
</span>
For the Equator Θ = 0°
=> circumference = 40,213.49cos(0°) km = 40,212.49 km
Answer: 40,212.49 km
Based on Diego's normal usage of his phone, if the battery is at 75%, the phone will not last the whole trip.
<h3>How long will the phone battery last?</h3>
First find out how long each percentage of battery life lasts:
= 15 / 100
= 0.15 hours
If Diego is going on a 12 hour trip with 75%, the length of time it would last is:
= 0.15 x 75
= 11.25 hours
This is less than the 12 hours required so the phone will not last the whole trip.
Rest of question:
At 100%, the battery can go for 15 hours.
Find out more on rate of use at brainly.com/question/16140581.
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Answer: Tom will pay $20.01 lesser than the original price.
Step-by-step explanation:
The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.
The new price is 137.99 - 13.799 = $124.191
Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be
124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98
The difference between the original price and the price that Tom will pay is
137.99 - 117.98 = $20.01
