1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
3 years ago
12

The temperature during a day can be modeled by a sinusoid. Answer the following question given that the low temperature of 53 de

grees occurs at 4 AM and the high temperature for the day is 99 degrees. Find the temperature, to the nearest degree, at 8 AM.
Mathematics
1 answer:
exis [7]3 years ago
4 0

Answer:

73 degrees

Step-by-step explanation:

Given that the temperature during a day can be modeled by a sinusoid.

At 4 am. lowest = 53 deg and at 4 pm highest = 99 deg

Amplitude = (99-53)/2 = 23

Mean temp = 76 deg

If 4 am is taken as t =0 then we have middle temp = 46 degrees at 10 a.m.

Hence equation would be of the form

T(t) =23 sin (pi t/12)+53 where T is the temperature and t is time in hours from 4 a.m.

At 8 am t =4

So T(4) = 23 sin pi/3 +53  = 19.92+53  =72.92

Nearly 73 degrees

You might be interested in
A cereal box is 7.4 inches long, 2.5 inches wide and 9.6 inches high. If a cereal company only fills 75% of the box, how many cu
saw5 [17]

Answer:

the box is 225 cubic inches.

Step-by-step explanation:

8 0
3 years ago
What is 5/8 with a denominator of 24?
Arturiano [62]

Answer:

Step-by-step explanation:

you multiply 8*3 to get 24 so you do the same to 5. so 5*3 = 15 so 15/24

4 0
2 years ago
Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0
2 years ago
Your teacher tells you to do questions 6 through 19 how many questions do you do?
ElenaW [278]

Answer:

I try to do atleast all of them better grade so there if you don't do atleast 6 or above you ain't going to get no good grade but I would try to do all of them

4 0
3 years ago
Read 2 more answers
What is the answer?<br> 1/4<br> 7/20<br> 5/11<br> 1/2
julsineya [31]

Step-by-step explanation:

it's a 1/4 sjjsjsjsjsjsj

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the lower quartile
    12·2 answers
  • Andrew jogs for 3 miles each day on the weekdays and for 6.5 miles each day over the weekend. What is the average distance that
    8·2 answers
  • May you run 7 miles in 50 minutes at the same rate how many miles would she run in 75 minutes​
    8·1 answer
  • Which of the following best describes the number shown below?
    13·1 answer
  • What is the length of side BC?
    9·1 answer
  • PLEASE HELP, HELP ME!!!!
    13·1 answer
  • HELP, it’s question 17
    7·2 answers
  • Find the circumference of the circle. Round your answer to two decimal places if necessary <br> 4cm
    7·1 answer
  • Solve and graph the inequality below. PLEASE HELP​
    10·1 answer
  • I needdddddd Help now!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!