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
Fantom [35]
2 years ago
5

Calculate the angle of depression from the

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
6 0

Answer:

angle of depression ≈ 53.8°

Step-by-step explanation:

the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.

this angle is alternate to ∠ A and is congruent to ∠ A

using the sine ratio in the right triangle

sin A = \frac{opposite}{hypotenuse} = \frac{25}{31} , then

∠ A = sin^{-1} ( \frac{25}{31} ) ≈ 53.8° ( to 1 d.p )

Angle of depression ≈ 53.8°

You might be interested in
Pls help<br> With thissss
Grace [21]

Answer:

Ion know lol

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is \dfrac{1}{6} = 0.1667 .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is   \dfrac{1}{6} .

      Numbers on the dice (X)                       P(X)

                      +1                                                 \frac{1}{6}

                      +2                                                \frac{1}{6}

                      +3                                                \frac{1}{6}

                      -4                                                 \frac{1}{6}

                      +5                                                \frac{1}{6}

                      -6                                                 \frac{1}{6}

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  \sum X \times P(X)

   =  (+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}

   =  \frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}

   =  \frac{1+2+3-4+5-6}{6}

   =  \frac{11-10}{6}= \frac{1}{6}

Hence, the expected value of the points earned on a single roll in this game is  \frac{1}{6} = 0.1667 .

4 0
3 years ago
John works at a food process plant 6 days a week for 8 hours a day. How many hours does John work in a year if her works for 48
Olegator [25]

Answer:

2304 Hours

Step-by-step explanation:

8x6x48

4 0
3 years ago
Read 2 more answers
6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the
goldenfox [79]

Answer:

Step-by-step explanation:

The answer depends on whether the interest is simple or compound.

For simple interest:

A = 670(1 + 0.08)(24)

For compound interest

A = 670(1 + 0.08)24

5 0
3 years ago
Read 2 more answers
FInd the value of C.
My name is Ann [436]

Answer:

The side C equals to 10. hence the answer is letter A

Step-by-step explanation:

To solve this, we need to use trigonometric functions.

we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.

Given α= 45º and Lo= 5√2 and replacing in the equation:

sin (45º) = 5√2 / C (1)

Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):

sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10

6 0
3 years ago
Other questions:
  • Drag the tiles to the correct boxes to complete the pairs.
    14·1 answer
  • A store and bank would both charge fees for
    8·1 answer
  • What is the sixth prime number
    9·2 answers
  • Simplify the expression. Leave your answer in simplest radical form: 6√64x^4y^2
    5·2 answers
  • C= 7/6 (k-17) <br><br>Solve for k. ​
    8·1 answer
  • At Garcia's Bike Rentals, it costs $22 to rent a bike for 5 hours. How many hours of bike use does a customer get per dollar?
    10·1 answer
  • The temperature in degrees Celsius can be expressed by the function C(f)=59(f−32) where f is the temperature in degrees Fahrenhe
    13·1 answer
  • A picture measuring 2 inches by 3 inches is placed inside a frame. The width between the picture and the frame is equal around t
    8·2 answers
  • Freddy poured 1.4 liters of soda pop from a full 2-liter container. How much soda pop was left in the container?
    13·2 answers
  • Which ordered pair is a solution to the inequality 3x-4y&lt;12 ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!