Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct

Solution :

From the triangle,

[tex]$x^2 = s^2 + 90^2$[/tex]

[tex]$x = \sqrt{s^2 + 90^2}$[/tex]

Now differentiating w.r.t "t", we get

[tex]$\frac{dx}{dt}=\frac{d}{dt}\left(s^2 +90^2 \right)^{1/2}$[/tex]

    [tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{\frac{1}{2}-1} \cdot 2s \cdot \frac{ds}{dt}$[/tex]     [chain rule]

    [tex]$=\frac{1}{2}\left(s^2 + 90^2 \right)^{-\frac{1}{2}} \cdot 2s \cdot \frac{ds}{dt}$[/tex]

    [tex]$=\frac{s}{\left(s^2 + 90^2\right)^{\frac{1}{2}}} . \frac{ds}{dt}$[/tex]  

But given that [tex]$\frac{ds}{dt}$[/tex] = 100 ft/s

When all the ball crosses the third base, this means that s = 90. So substituting the value of s and [tex]$\frac{ds}{dt}$[/tex]  in [tex]$\frac{dx}{dt}$[/tex] , we get

[tex]$\frac{dx}{dt} = \frac{90}{\left(90^2 +90^2\right)^{1/2}} \times 100$[/tex]

[tex]$\frac{dx}{dt} = \frac{90}{\sqrt{8100+8100}} \times 100$[/tex]

[tex]$\frac{dx}{dt} = 50\sqrt2$[/tex]

    = 70.710 ft/s    

Answer:

b.430

Step-by-step explanation:

Answer:

525 children attended the concert.

Step-by-step explanation:

Given that:

Total number of people who attended concert = 2500

Adult females = 47%

Adult males = 32%

Percent of children = (100-47-32)% = 21%

Number of children = 21% of people who attended

Number of children = [tex]\frac{21}{100}*2500[/tex]

Number of children = 0.21*2500 = 525

Hence,

525 children attended the concert.

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

Answer:

a.5/2

b.5/3

because dave eat 2 of the pizza pices from 5 pices

and sue eats 3 of the pizza pices of 5

Answer:

Rock costs $3.20 per pound.

Step-by-step explanation:

Because sand costs three times as much as rocks per pound, you can determine the cost of rocks per pound by dividing the cost of sand per pound by three:

[tex]\frac{9.60}{3}[/tex] [tex]= 3.20[/tex]

Answer:

Step-by-step explanation:

Initial value of house:

Yearly increase rate of value:

Time

Since the increase is concerning the current price it would be exponential growth.

The function would be:

For t= 13 we get:

Profit made would be:

Correct option is D.

Answer:

Cost of Tammy's house =$184000

Rate of interest = 3.5% per annum

After 13years price will be

[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]

Total profit= $(287767-184000)= $103768

Answer:

ok

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

b=9

(assuming you meant -6x) x = -2

h = -4

a = 6

Step-by-step explanation:

Answer:

2610/10730

2610/10730 = 0.24324324

0.24324324 X 100 = 24.324324

24%

Answer:

286.

Step-by-step explanation:

9.85^3 /3.875 + 6.3^2

= 10^3/ 4 + 6^2

= 1000/4 + 36

=250 + 36

=286.

Answer:

She baked 90 cookies.

Step-by-step explanation:

From the information given you know that 36 cookies represent 40% of the cookies that were baked. With this information, you can use a rule of three to find the total mount of cookies that she baked:

36 cookies →  40%

        x         ← 100%

x=(36*100)/40=90

According to this, the answer is that she baked 90 cookies.

Answer:

49 square feet

Step-by-step explanation:

Area of square

[tex] = {7}^{2} \\ \\ = 49 \: {ft}^{2} \\ [/tex]

Answer:

(5, 1) is the answer.

Step-by-step explanation:

This is because the point (5, 1) is NOT in the shaded area of the inequality. All the other points are either in the shaded area of the inequality, or on the line of the inequality equation.

Hope this helps!! :)

#teamtrees #WAP (Water And Plant)

Answer:

(5,1)

Step-by-step explanation:

Answer:

24)

[tex] \frac{4}{5} [/tex]

[tex]25) - \frac{4}{5} [/tex]

[tex]14)1[/tex]

15)19

16)5

17)3

18)5√5

19)8n²√2

Answer:

x ≥ $750

Step-by-step explanation:

Answer:

which team has the taller player (picture involve

B the skyview ravens

Answer:

the davis tigers has taller player

because their player is 0.625 inches taller more than the Skyview Ravens player

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

Answer:

His percent markup is 150%

Step-by-step explanation:

Answer:

Try 2.75 it should work

Step-by-step explanation:

prove me wrong

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Answer:

1. 1.925 Liters

2.  0.075 Liters  less than the 2 Liter of special drink

Step-by-step explanation:

Step 1

Quantity of lemon juice = 0.375 Liters

Quantity of cranberry juice = 0.35 liters

Quantityof water = 1.2liters

Total Quantity of  Special drink = 0.375 L+ 0.35L + 1.2 L= 1.925 Liters

Step 2

But since she wanted to make 2 Liters of the special drink she will have

2 Lter - 1.925L= 0.075Liters  less than the initial 2 Liter of special drink planned.

Answer:

a. 1.925 litres

b. 0.075 litres less

Step-by-step explanation:

a. How much of the special drink can she make?

To find out the quantity of juice produced, add the component juice quantities and the water:

= 0.375 + 0.35 + 1.2

= 1.925 litres

b. How much more or less than 2 litres will she have?

= 2 - 1.925

= 0.075 litres less

Answer:

literally don't understand a word