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Alexus [3.1K]
3 years ago
15

I need help with this math questions

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

Step-by-step explanation:

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If the measure of arc DEF is 248°, what is the measure of ∡DEF?
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The figure attached has <DEF which is an inscribed angle. An inscribed angle is an angle with its vertex on the circle which is formed by two intersecting chords. According to formulas, the measurement of arc DF is twice the measurement of ∡DEF. Arc DF is equal to 360-248 or 112. Hence <span>∡DEF is equal to 56 degrees.</span>
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Step-by-step explanation:

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Add 3.2 to the quotient of 8.4 divided by 6. what does it equal?
Aleksandr [31]

Answer:

4.6

Step-by-step explanation:

First term is 3.2

The quotient of 8.4 divided by 6 is:

\frac{8.4}{6}

Add these two results together:

3.2+\frac{8.4}{6}=3.2+1.4=4.6

7 0
4 years ago
A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
finlep [7]

Answer:

Part a) The elevation of the road is 6\°

Part b) The rise is 0.2\ km

Step-by-step explanation:

Part a) What is the elevation of the road to the nearest degree?

Let

y-----> the rise of the road ( vertical distance)

x ----> the run of the road (horizontal distance)

we have

y/x=1/10

we know that

The ratio y/x is equal to the tangent of the angle of the elevation of the road

Let

\theta ---->  angle of the elevation of the road

tan(\theta)=y/x

tan(\theta)=1/10

\theta=arctan(1/10)=6\°

Part b)  If the road is two km long, how much does it rise?

using proportion

1/10=y/2

y=2/10=0.2\ km

3 0
3 years ago
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