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Aliun [14]
3 years ago
12

The quotient of 4/7  is a decimal number. How many digits in the quotient are overlined?

Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0
6 digits are overlined because the repeating numbers after the decimal is 571428.
sattari [20]3 years ago
3 0
She is right 6 digits
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Answer:

h=1.99 miles

Step-by-step explanation:

Let's call h the balloon's height above the ground and b the horizontal distance between the balloon and the first milepost.

If the angle of the depression of this milepost is 24 degrees, we can say the following:

tan(24)=\frac{h}{b}

<em>b=\frac{h}{tan(24)}(equation 1)</em>

For the next milepost, the horizontal distance between the balloon and tihs milepost will be (b+1)miles and the angle of depression will be 20 degrees, so we can say the following

tan(20)=\frac{h}{b+1}

b+1=\frac{h}{tan(20)}

b=\frac{h}{tan20}-1

then, replacing from <em>equation 1</em>

\frac{h}{tan(24)} =\frac{h}{tan(20)}-1

1 =\frac{h}{tan(20)}-\frac{h}{tan(24)}

1 =h*(\frac{1}{tan(20)}-\frac{1}{tan(24)})

h=\frac{1}{(\frac{1}{tan(20)}-\frac{1}{tan(24)})}

Resolving, we'll find the value of h

h=1.99 miles

So, the balloon's height above the ground is 1.99miles

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