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
Elena L [17]
3 years ago
14

The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

  • L(t) = 727.775 -51.875cos(2π(t +11)/365)
  • 705.93 minutes

Step-by-step explanation:

a) The midline of the function is the average of the peak values:

  (675.85 +779.60)/2 = 727.725 . . . minutes

The amplitude of the function is half the difference of the peak values:

  (779.60 -675.85)/2 = 51.875 . . . minutes

Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.

Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.

Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.

Our formula is ...

  L(t) = 727.775 -51.875cos(2π(t +11)/365)

__

b) L(55) ≈ 705.93 minutes

You might be interested in
Can someone please answer this question<br> Giving brainleist!
inna [77]

Answer:

a) 9000

b) 40

c) 630

d) 125

5 0
3 years ago
Solve the system of linear equations by graphing
Eddi Din [679]

Answer:

(3,-1/2)

Step-by-step explanation:

7 0
3 years ago
K^5/6<br> Verbal expression
fenix001 [56]

Answer:

The quotient of a number to the fifth power and six.

Step-by-step explanation:

Step 1: Convert k⁵ into words

k⁵ = a number to the fifth power

Step 2: Convert / into words

/ = quotient

Step 3: Convert 6 into words

6 = six

Step 4: Combine

The quotient of a number to the fifth power and six.

3 0
3 years ago
Which net represents this solid figure?
soldi70 [24.7K]

Answer:

the second one to the right

Step-by-step explanation:

the first one makes a square

the third sides are too tiny

the last one just doesnt make anything

7 0
3 years ago
Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD
Ugo [173]

In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = \sqrt{75+25} = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that \frac{1}{2} * BF =  \frac{1}{2} * 5 * \sqrt{75} and BF= 0.5\sqrt{75}. Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is  A= BF *  \frac{AB+CD}{2} = 0.5  \sqrt{75}  * \frac{5+10}{2} = 18.75 \sqrt{3}   cm^{2}

3 0
3 years ago
Other questions:
  • Which would not be a step in solving 3x + 1 + 2x = 2+ 4x?
    5·1 answer
  • Based on the figure below, what is the value of x?
    9·1 answer
  • on the first play the football team loss 6 yards. on the second play the team lost 5 yards. what was their total?
    6·2 answers
  • Write the product in its simplest form -7c×6c^8​
    7·1 answer
  • Are These Graphs Functions?<br><br>​
    5·1 answer
  • Juliet conducted a survey to find the favorite type of book of the students at her school. She asked 20 students from her class
    10·1 answer
  • Perimeter of a square with a side that measures 17.8 ft
    6·1 answer
  • Write the algebraic expression 9r+2 as a verbal expression​
    12·1 answer
  • Will give brainiest if you answer!!
    12·1 answer
  • Find the value of two numbers if their sum is 112 and their difference is 66.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!