MATHEMATICS HIGH SCHOOL

If an area in the form of a circle is to be roped off by a rope 10 m long, what will be the radius of this area? Round your answer to two decimal places. A. 1.59 m
B. 2.56 m
C. 3.18 m
D. 0.31 m

Answers

Answer 1
Answer:

Answer:

A. 1.59 m

Step-by-step explanation:

To find the radius of the area we wil; simply use the formula; C = 2π R

where C is the circumference of the circle,  π is a constant that is always 3.14 approximately, except given otherwise   and R is the radius.

From the question, since the circle is formed by roping  off  a rope 10 m long, then it implies that the circumference (c) = 10

We can now proceed to substitute our values into the formula;

C  = 2π R

10 ≈ 2×3.14×R

10 ≈ 6.28R

Divide both-side of the equation by 6.28

(10)/(6.28) = (6.28 R)/(6.28)

(At the right-hand side of the equation 6.28 will cancel-out 6.28 leaving us with just R while at the left-hand side of the equation, 10 will be divided by 6.28)

1.592≈R

R≈1.59 m

Therefore, the radius of this area will be 1.59 m
Answer 2
Answer: Your answer is A. 1.59 m.

Hope this helps.

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A plane is flying due east in still air at 395 km/h. Suddenly, the plane is hit by wind blowing at 55 km/h toward the west. What is the resultant velocity of the plane?

Answers

The resultant velocity relative to the air is still 395 km/hr east.

The resultant velocity relative to the passengers is still zero.

The resultant velocity relative to the ground is (395 east) + (55 west) = 340 km/hr east.
the v towards the air is 395 kn/hr.
v towards passengers is 0.
so the v towards the ground is (395 kn/hr)east + (55km /hr)west = 340
hence solved
welcome :)

you drive an average speed of 45 mph and arrive to school 1 minute early the next day you drive 40 mph and arrive late how many miles do you live from school?

Answers

You live 12 miles from school

A scientist is testing the effectiveness of a new medicine. The medicine is to be tested on two genetically identical lab rats. One rat receives a placebo pill, while the other rat receives the actual medicine. Which of the following methods is being used to investigate the effectiveness of the medicine?

Answers

Answer: on plato its controlled experiment

Step-by-step explanation:
I would instantly rule out Survey and Seperation Study because 1) a survey is impossible in this instance, and 2) a seperation study will do nothing. It's just moving them apart from eachother. So that leaves Controlled Experiment and Observational Study. An observational study is when you have no control over the groups of subjects, nor what they are given. A controlled experiment is when you change only one aspect of what is given to the group. Since the only thing that is happening is the scientist is giving one rat a real pill, it would fall under controlled experiment. Thus, that is your answer.
Hope I helped ^.^

Simplify. your answer should contain only positive exponents y^2x^3y^2

Answers

Answer:

x^2y^4.

Step-by-step explanation:

y^2x^3y^2

= x^2y^2y^2

= x^2y^(2+2)

= x^2y^4.

1+4=5, 2+5=12, 3+6=21, 8+11?

Answers

The answer is 96.
Solution:
1+4(5) = 5
2+5(7) = 12(5+7)
3+6(9) = 21(12+9)
4+7(11) = 32(21+11)
5+8(13) = 45(32+13)
6+9(15) = 60(45+15)
7+10(17) = 77(60+17)
8+11(19) = 96(77+19).

Joe has been keeping track of his cellular phone bills for the last two months. The bill for the first mont was $38.00 for 100 minutes of usage. The bill for the second month was $45.50 for 150 minutes of usage. Find a linear equation that gives the total monthly bill based on the minutes of usage

Answers

The problem here is that you need to find what is the monthly fee for the telephone + the fee per minute.

Data we are looking for:

x - subscription plan
y - rate per minute

1. Finding the monthly fee (x) + rate per minute (y)

x + 150y = 45.50
x + 100y = 38.00
you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)

- finding rate per minute:
50y = 7.50
5y = 0.75
y = 0.15

- finding monthly fee
x + 150 *0.15 = 45.50
x = 45.50 - 22.50
x = 23.00

Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$

That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):

z = 23 + 0.15y

Add a comment if sth is not clear

Answer:

Step-by-step explanation:

We can make 2 simultaneous equations and solve for the set fee

and the per minute charge:

 

Let x = fixed monthly rate

Let m = per minute charge

 

x + 100m = 135    {equation 1}

x + 500m = 375    {equation 2}

 

subtract equation 1 from equation 2

 

400m = 240

m = 0.6

 

substitute that back into equation 1 or 2 to solve for x.

Using equation 1

 

x + 100(.6) = 135

x + 60 = 135

x = 75

 

The fixed monthly rate is $75

The per minute charge is $0.6

*****************************

If y is the total cost for a month and x is the

number of minutes used the equation is:

 

y = 0.6x + 75
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