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lubasha [3.4K]
3 years ago
8

June and Armando are each in a hot air balloon. Armando's balloon is at a slightly higher elevation than June's. The two balloon

s are 100 ft apart
June notices she must look up at an angle of 25° to see Armando in his balloon. How much higher is Armando than June?
Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

46.63 ft

Step-by-step explanation:

I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.

Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.

Also, the height of Armando above June is represented by "x".

Thus, using pythagoras theorem, we can find x.

Thus;

x/100 = tan 25

x = 100 × tan 25

x = 100 × 0.4663

x = 46.63 ft

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3 years ago
Read 2 more answers
Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6
shtirl [24]

If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of

<em>x</em> + <em>y</em> = 500

litres, and it contains

0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for <em>y</em> :

<em>y</em> = 500 - <em>x</em>

<em />

Substitute this into the second equation and solve for <em>x</em> :

0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375

0.65<em>x</em> + 450 - 0.90<em>x</em> = 375

75 = 0.25<em>x</em>

<em>x</em> = 300

Solve for <em>y</em> :

<em>y</em> = 500 - 300

<em>y</em> = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0
3 years ago
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marta [7]

Answer:

19

Step-by-step explanation:

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2 years ago
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The month of February has the smallest gain in average temperature over the previous month?????
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3 years ago
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