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2 years ago

1. Kelly is playing with her drone, which she got from Santa last Christmas. When she flies her

Mathematics

1 answer:

RUDIKE [14]2 years ago

3 0

Answer: 686.86 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of elevation of Kelly's view, the opposite side (x) is the maximum height of the drone, and the adjacent side is the horizontal distance between Kelly and the drone when it hits the ground.

Replacing with the values given:

Tan 70 = x/ 250

Solving for x

tan70 (250)=x

686.86 ft = x

Feel free to ask for more if needed or if you did not understand something.

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The sum of 4 consecutive integers is 110. Find the integers.

zloy xaker [14]

Answer:

26, 27, 28, 29

Step-by-step explanation:

Let the first integer be x.

Then, (x)+(x+1)+(x+2)+(x+3) = 110

=> x+x+1+x+2+x+3 = 110

=> 4x+6 = 110

=> 4x = 110-6

=> 4x = 104

=> x = 104/4

=> x = 26

So, the four consecutive integers are:

1. x = 26

2. x+1 = 26+1 = 27

3. x+2 = 26+2 = 28

4. x+3 = 26+3 = 29

8 0

2 years ago

Read 2 more answers

Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

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3 years ago

Dan had 7 dimes in his bank his dad gave him 9 more dimes how many dimes does Dan have now

timofeeve [1]

Answer:

16 dimes

Step-by-step explanation:

He already has 7, and got 9 more, so we can add 7 and 9

7+9 =16

So, Dan has 16 dimes now

Hope this helps! :)

3 0

3 years ago

How do I do any of this?!

evablogger [386]

U should get the app "photomath" it will help u out alot!!!

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3 years ago

A mechanic has a radiator hose that measures 32 feet long. It needs to be cut into pieces equaling 5 feet 3 inches. How many who

kirza4 [7]

Answer:

6 pieces

Step-by-step explanation:

6x5=30

6x3=18

18-12=6

the total would be 31ft and 6 inches

6 0

3 years ago

Read 2 more answers