Answer:
D
Step-by-step explanation:
Answer:
OG = 8.7
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.
The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.
OG² = OH² +GH²
OG² = 6² +6.3² = 75.69
OG = √75.69 = 8.7
The length of OG is 8.7 units.
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<em>Additional comment</em>
You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).
Answer:
The slope of the line is m = 1
Step-by-step explanation:
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m = y2-y1 / x2-x1
m = 2 - 5 / -1 - 2
m = -3 / -3
m = 1
X1 is 2
Y1 is 5
X2 is -1
Y2 is 2
Answer:
350 feet per minute
Step-by-step explanation:
The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.
This means it took 104 minutes for the plane to descend 36,400 feet.
Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.
Answer:
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