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It appears that, from the illustration, that the bird is above the nest...if I'm interpreting the picture correctly. The angle of elevation to the nest is 62°, but the angle of elevation to the bird itself is 67°.

So we have

Height above ground = 15*tan(67°) = about 35.34 ft.

The answer is 309

4/5 is turned into a decimal fraction by dividing 4 by 5.

4 ÷ 5  =  .8

4 4/5  =  4 + 4/5  =  4 + .8  =  4.8

A z-score will be negative for a score that is lower than the average score.

Basically, it can't be done.

Square feet is a measure of area, such as the area of a floor.

Linear feet is a measure of length, such as the length of one side of a floor.

There are some problems, such as how many linear feet of a floor covering does it take to cover the floor, can be answered if the width of each of the floor sections is known. If you have this type of problem, post back with more information.

311 dumb a*s

Gode thnig yuo are takng collge math esle this mihgt be too hrard for you.

yuo spleld evry wrod korcetly. Did yuo gte prfoesional hlep?

Remember your SOH CAH TOA.

Here you have the angle and the Alternate side of the triangle. So use the Tangent function.

Tan (61˚)=Opposite/Alternate

Tan (61˚)=O/15ft

O=Tan(61˚) *15= 27.06 ft.

You have a right-angled triangle in which the height (the item you want to find) is opposite the known angle.  You also know the adjacent length to the angle.

This means you should use the tan function;  tan(angle) = opposite/adjacent.

Here:  tan(62°) = height/15

Multiply both sides by 15:   height = 15*tan(62°) ft

$${\mathtt{height}} = {\mathtt{15}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{62}}^\circ\right)} \Rightarrow {\mathtt{height}} = {\mathtt{28.210\: \!896\: \!980\: \!19}}$$

So height = 28 ft to the nearest foot.

8    

(2/5) + 4/(10x + 5) = 7/(2x + 1)  

Note that 

4/(10x + 5)   = 4/[5(2x + 1)] = (4/5)/(2x + 1)

So we have

(2/5) + (4/5)/(2x + 1) = 7(2x + 1)     mutiply through by 5 to get rid of the fractions

2 + 4/(2x + 1) = 35/(2x + 1)              subtract 4/(2x + 1) from both sides

2 = 35/(2x + 1) - 4/(2x + 1)               simplify

2 = 31/(2x + 1)                                  cross-multiply

2(2x + 1) = 31                                    simplify

4x + 2  = 31                                       subtract 2 from both sides

4x = 29                                              divide by 4 on both sides

x = 29/4

4+2=6 

Four Plus Two Is Six

50*6/10-6+36=

Using the order of operations, we have

300/10 - 6 + 36 =

30 - 6  + 36 =

24 + 36 =

60

I assume you want the prime factorization of 2772

It is.......

2² x 3² x 7 x 11

No one can say.....

Is it 7.01 ??? ....or 7.001 ???......or 7.0000000000000001 ???

In other words...we can get as close to  7 "from the right" as we wish !!!!!

Because sin can only take values between ±1 the values of tan(ln(x)) must lie in this range for the function to be defined.  This makes the function defined only between certain values of x.  See the graphs below:

There are an infinite number of such regions (e^7pi/4 < x < e^9pi/4, for example).

Which is the region of interest?

If  1 + 1  ≠  2  because you are working in the base two system  (where  1 + 1  = 10), then  1  still equals  1.

However, if you are working in the base ten system, then since your hypothesis ('let 1 + 1  ≠  2') is false, you can write anything for your conclusion. The statement may be complete nonsense, but the full statement won't be false. 

The area of a square is its length times its width:  l x w  =  361

Since the length of a square is the same as its width, replace 'w' with 'l':  l x l  =  361

     l x l  =  l²  =  361     --->   l  =  √361       --->   l  =  √361       --->     l  =  19 ft.

No; it doesn't.

Since an hour is 60 minutes,  .8  of an hour is  .8  of  60  minutes.

To solve, multiply  .8 x 60  =  48 minutes.

You would have to know the number of days that you worked; for example if the 30 days represented a full month and if you did not work Saturdays or Sundays, you probably would have worked only 22 days.

Also, you need to know how many hours per day that you worked.

To calculate hourly pay, you need to know the total number of dollars earned (in this case is $1200) and the total number of hours worked (which is unknown in this case).

(4/x + 2) + (1/x - 2)  =  (5x-6) / (x² - 4)

First, simplify the left side:  4/x + 1/x  =  5/x      and + 2 - 2 = 0.

If you factor  x² - 4 , you get:  (x + 2)(x - 2).

The denominaors have three terms:  x,  x + 2,  and  x - 2.  Since denominators are not allowed to be zero, the numers  0, -2,  and  +2  cannot be answers.

5/x  =  (5x-6) / (x² - 4)

Cross multiply:

5(x² - 4)  =  x(5x-6)

Multiply out:

5x² - 20  =  5x² - 6 x

-20  =  -6x

x  =  10/3

Then we have 4/x + 2 + 1/x - 2 = (5x - 6)/(x² - 4)  and we must have x≠0, x≠2, x≠-2

5/x = (5x - 6)/(x² - 4)

Multiply both sides by (x² - 4)*x

5(x² - 4) = (5x - 6)x

5x² - 20 = 5x² - 6x

-20 = -6x

x = 20/6

x = 10/3

$$x=3\frac{1}{3}$$

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the second one. :)