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
dimaraw [331]
3 years ago
9

Question 1

Mathematics
2 answers:
Doss [256]3 years ago
7 0
For the answer to the question If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? The answer is <span>11,779 feet.
And for the answer to the second question on w</span>hat is the angle of depression from the bird (B) to the observer (O)? The answer is <span>56.31°</span>
Jlenok [28]3 years ago
4 0

Answer:

Q1. 12,788 feet

Q2. 41,81 °

Q3. 25,636 feet

Q4. 224 feet

Q5. 12,287 feet

Step-by-step explanation:

Before reading ignore the Â.

We can solve most of those problems using the function sine and sine^{-1}. It goes as following:

Q1.

We know that sin(23o) \approx 0.39 so we can use the following expression to find x:

sin(39o) = \frac{ca}{x}

Where ca is the vertical line from the ground and the plane. in this case ca = 5000.

0.39 = \frac{5000}{x} \Rightarrow \ 0.39x = 5000 \Rightarrow  x \approx 12788

Q2.

Now we want to find the angle between the lines. But the same principle applies here.

sin(\theta) = \frac{6000}{9000} = \frac{2}{3}\\

We can apply the inverse function sine^{-1} to solve for \theta.

sin^{-1}[sin(\theta)] = sin^{-1}(\frac{2}{3}) \Rightarrow  \theta = sin^{-1}(\frac{2}{3}) = 41,81

Q3.

We use the same principle of Q1 in this one. Also we know that sin(55o) = 0.819\\

sin(55o) = \frac{21000}{x}  \Rightarrow 0.819 = \frac{21000}{x} \Rightarrow x = 25636

Q4.

We know that both sides of the pyramid are equal when separated by the height. So we can say that base = 2x. We just need to find x, that can be found in the same way we found before. This time with the tangent function.

tan(62o) = 1.8807

1.8807 = \frac{211}{x} \Rightarrow x \approx 112  \Rightarrow base \approx 2*112 = 224

Q5.

We use the sine function here once again.

sin(55o) = 0.819 = \frac{x}{15000}  \Rightarrow x \approx 12287

You might be interested in
Emma received a $40 gift card that could be used to download television programs. After downloading 5 programs, she had $30 rema
aalyn [17]

Answer:

x= 1 program

x= $2

Step-by-step explanation:

40-30= 10 <- what she spent

10/5 = 2

5 = Amount of Programs

Each program is $2.

Your welcome :)

8 0
3 years ago
Please help me solve this equation and show the work show me how you got the answer
Nesterboy [21]

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

\frac{2}{5} (5k+35)-8=12            [add both sides by 8]

\frac{2}{5} (5k+35)=20                  [multiply both sides by 5/2]

5k+35=50                       [subtract both sides by 35]

5k=15                               [divide both sides by 5]

k=3

Now, we know that k=3.

7 0
2 years ago
How many hours is 10 miles?
Aleksandr-060686 [28]
Depends on the speed
7 0
2 years ago
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distri
zalisa [80]

Answer:

a

 P(\= X \ge 51 ) =0.0062

b

P(\= X \ge 51 ) = 0

Step-by-step explanation:

From the question we are told that

The mean value is \mu = 50

The standard deviation is  \sigma = 1.2

Considering question a

The sample size is  n = 9

Generally the standard error of the mean is mathematically represented as

      \sigma_x = \frac{\sigma }{\sqrt{n} }

=>   \sigma_x = \frac{ 1.2 }{\sqrt{9} }

=>  \sigma_x = 0.4

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

      P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}}  \ge \frac{51 - 50 }{0.4 } )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

     P(\= X \ge 51 ) = P( Z  \ge 2.5 )

=>   P(\= X \ge 51 ) =1-  P( Z  < 2.5 )

From the z table  the area under the normal curve to the left corresponding to  2.5  is

    P( Z  < 2.5 ) = 0.99379

=> P(\= X \ge 51 ) =1-0.99379

=> P(\= X \ge 51 ) =0.0062

Considering question b

The sample size is  n = 40

   Generally the standard error of the mean is mathematically represented as

      \sigma_x = \frac{\sigma }{\sqrt{n} }

=>   \sigma_x = \frac{ 1.2 }{\sqrt{40} }

=>  \sigma_x = 0.1897

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as  

       P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x}  \ge \frac{51 - 50 }{0.1897 } )

=> P(\= X \ge 51 ) = P(Z  \ge 5.2715  )

=>  P(\= X \ge 51 ) = 1- P(Z < 5.2715  )

From the z table  the area under the normal curve to the left corresponding to  5.2715 and

=>  P(Z < 5.2715  ) = 1

So

   P(\= X \ge 51 ) = 1- 1

=> P(\= X \ge 51 ) = 0

5 0
2 years ago
Find the value of X and the missing angle
GuDViN [60]

Answer:

x = 10

missing angle = 83°

Step-by-step explanation:

These are supplementary angles meaning they have a sum of 180°.

8x + 3 + 97 = 180

8x + 100 = 180

8x + 100 - 100 = 180 - 100

8x = 80

x = 10

Substitute the value for the variable.

8(10) + 3

80 + 3

83

6 0
3 years ago
Read 2 more answers
Other questions:
  • All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou
    11·1 answer
  • A publishing company has just published a new college textbook. Before the company decides the price at which to sell this textb
    8·1 answer
  • The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is betwe
    15·1 answer
  • If 40% of a number is 56 what was the original number
    9·1 answer
  • a rectangle is 12 in wide and 18 in tall.if it is reduce to a height of 3 inches, then how wide will it be?
    10·2 answers
  • Can u help me with this
    13·1 answer
  • What is 3 divided by blank equal 36
    5·1 answer
  • What is (3x+8) + (6x+2) in simplest form
    7·2 answers
  • A dog on intravenous fluids has received 40% of the 1000 mL initially in the i.v. bag. How many mL has it received?
    6·2 answers
  • PLEASE ANSWER THIS RIGHT!! TODAYS MY LAST DAY TO DO THIS
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!