Hello I need help for this math homework please
1 answer:
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Answer:
Step-by-step explanation:
<h3>7) The lengths of the tangent from an external point to a circle are equal.</h3>2x - 1 = x + 10
2x = x + 10 + 1
2x = x + 11
2x -x = 11
8) Radius : XC
Chord: CB
Diameter : AB
Name of the circle: X {a circle is named by its center}
Answer:
x = 0 and x = 1
Step-by-step explanation:
Given that,
A football is kicked into the air. The height of the football can be modeled by the equation :
Where
h is the height reached by the ball after x seconds
When it touches the ground, h = 0
So,
So, it will touch the ground at x = 0 and x = 1 seconds.
Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
