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Mathematics

1 answer:

vodomira [7]2 years ago

4 0

Answer:

47 = C

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angle

99=52+C

99-52 = C

47 = C

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A hot air balloon went from an elevation of 4,064 feet to an elevation of 3,322 feet in 28 minutes. What

ELEN [110]

Answer:

The air balloon descends 26.5 feet per minute

Step-by-step explanation:

Rate of Change

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

$\displaystyle R=\frac{3,322-4,064}{28}=\frac{-742}{28}=-26.5$

Thus the air balloon descends 26.5 feet per minute

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2 years ago

Which ordered pairs make both inequalities true? Check all that apply.

Alex17521 [72]

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2 years ago

Read 2 more answers

Find x A. 22√2 B. 22 C. 11√3/3 D. 11√3

mel-nik [20]

Answer

$22\sqrt{2}$

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

$sin(45)=\frac{11}{Y} \\$ , Because sin(x)= op/hip

$cos(60)=\frac{Y}{x}$ , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

$Y=\frac{11}{sin(45)} \\Y=cos(60)*x$

we equal Y and solve

$\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\$