What is the distributive property to create an equivalent expression to 9x+21
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Answer and working out attached below. Hope this helps.
Answers:
- One possible equation to solve is tan(x) = 4/15
- That solves to roughly 15 degrees
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Explanation:
Refer to the diagram below.
The segment AB is the player's height of 6 ft.
The segment CD is the hoop's height, which is 10 ft.
There is a point E on CD such that rectangle BACE forms. This will help us form ED later.
Angle EBD is what we're after, which I'll call x.
Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.
In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.
Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.
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To summarize, we found that ED = 4 and EB = 15.
We'll focus our attention entirely on triangle EBD
We have two known legs of the triangle, specifically the opposite and adjacent sides.
So we'll use the tangent ratio.
tan(angle) = opposite/adjacent
tan(B) = ED/EB
tan(x) = 4/15 .... is the equation to solve
x = arctan(4/15) .... same as inverse tangent or
x = 14.931417 ..... make sure to be in degree mode
x = 15 ..... rounding to the nearest whole degree
So that unknown angle in the diagram is approximately 15 degrees
recall, for the scientific notation, it has to be using some power of 10, and the exponent of the base 10, is how many slots you're away from the <u>decimal point</u>. 0.007 uses 10⁻³ because 7.0 or 7. when we make it 0.007, we have to move the decimal point from in front of the 7 3 slots over to the left. Likewise, the 7000 is using 10³, because we moved the dot from 7. to 7000. , namely 3 slots to the right.
the missing value is there in the middle, notice is "7".
well, we can say that 7 is using 10⁰, however most of the time the 10⁰ is omitted and we settle for 7 alone, however scientific notation wise, that'd be it.