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Vera_Pavlovna [14]
3 years ago
6

Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 fe

et. The distance between the bird-watcher and the second bird is 27.9 feet. What is the angle measure, or angle of depression, between this bird and the bird-watcher?
27.9 is the hypotenuse 14.1 is the opposite
30.4
59.6
63.2
87.9
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
Use the trig ratio which gives you the most information. Here we have opposite and hypotenuse relative to angle x, so think sin( x ) = 14.1 / 27.9

Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse sin to both sides of the equation.
sin^-1 ( sin(x) )  =  sin^-1 ( 14.1 / 27.9)
<span>The left side 'cancels' , leaving you with x </span>
<span>x = sin^-1 ( 14.1 / 27.9)
</span><span>Now you need a calculator.
</span>Make sure you are in degree mode.
<span>Calculators can give you answer in radian or degree.
</span><span>If you get a decimal answer, you are probably in radian mode. 
</span>Round up if you want nearest hundredth
<span>30.3563 ≈ 30.36
</span>Or you can round to the nearest tenth
30.36 ≈ 30.4
Hope this helps! :)
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Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act
Mandarinka [93]
Add all the activities together

=3(x+2) + (8x-5) + 2x
multiply 3 by all in parentheses
=(3*x) + (3*2) + (8x-5) + 2x
=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)
6 0
3 years ago
I need help with number 4 please help and explain
Shtirlitz [24]
Are you trying to find the area?
7 0
3 years ago
Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1
yuradex [85]

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function t_{n} = 2^{n}  - n

Therefore, the 5th term i.e. t_{5} of the sequence.

t_{5} = 2^{5}  - 5 = 32 - 5 = 27 (Answer)

3. The explicit definition is t_{n} = 2^{n}  + 1

Hence, t_{1} = 2^{1}  + 1 = 3

t_{2} = 2^{2}  + 1 = 5

t_{3} = 2^{3}  + 1 = 9

t_{4} = 2^{4}  + 1 = 17

Therefore, the option C is the right sequence. (Answer)

4 0
3 years ago
Read 2 more answers
Use the premises and conclusion to answer the question.
Free_Kalibri [48]
I think it’s C, correct me if I’m mistaken.
5 0
2 years ago
which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term
Furkat [3]

Answer:

C. \Rightarrow \bold{8x = 16}

Step-by-step explanation:

Given the two equations:

y=2x ........ (1)\\ 2x+3y=16.......(2)

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

y=2x

Let us put value of y in 2nd equation:

2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}

So, the correct answer is option C. \Rightarrow \bold{8x = 16}

7 0
3 years ago
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