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IgorLugansk [536]
3 years ago
6

if the radius of a sphere is tripled, the surface area of a sphere will increasea) by a factor of 3b) by a factor of 4c)by a fac

tor of 6d)by a factor of 9
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The area and the radius of a sphere are related by the formula:

A=4πr^2

Let’s say this is A1 and r1

Now the radius is tripled. This means r2 = 3r1

The new area thus becomes: A = 4 * (3r)^2 * π = 36πr^2

Comparing A1 and A2 , we can see that A2 = 9A1

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For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.
Contact [7]

The expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's  speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

\rm Distance = Speed \times Time

For the first part of the journey:

Distance = 80 miles

Time = \rm t_1

And Speed = s

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = \rm t_2

Substitute all the values in the formula,

\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}

Therefore,

Adding both the time to represent the total time of her trip in hours,

\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}

Hence, The required expressions represent the total time of her trip in hours is\rm \dfrac{80}{s} + \dfrac{50}{s+10}.

For more details refer to the link given below.

brainly.com/question/21043759

6 0
2 years ago
Of the 80 boys 55% play video games daily .how many boys play video games daily
s2008m [1.1K]
If you would like to know how many boys play video games daily, you can calculate this using the following steps:

55% of 80 = 55% * 80 = 55/100 * 80 = 44

Result: 44 boys play video games daily.
6 0
3 years ago
Read 2 more answers
How do I answer this question
Gnom [1K]
First you have to make it multiplication so you flip 5/2 around and the two “2’s” will cancel each other so it will be 17/5 or 3 2/5
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3 years ago
A sequence which terminates is called
vivado [14]
If a sequence terminates it is called a finite sequence
5 0
3 years ago
What is the CORRECT answer to this question???
MrMuchimi
Hello!
The most logical equation would be b)
Hope it helps, have a nice day!

4 0
3 years ago
Read 2 more answers
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