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LiRa [457]
4 years ago
5

The ramp rises 20 degrees from the ground and a vertical distance of 30 inches . How much horizontal distance does the ramp cove

r ? Round to the nearest tenth
Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
5 0
We can see  a right triangle in this problem,
where a vertical distance is a leg that opposite to the angle 20⁰ , and horizontal distance is an adjacent leg to the 20⁰ angle.
So, 
tan (20⁰) = opposite leg/adjacent leg 
tan (20⁰) = vertical distance/horizontal distance
tan (20⁰) = 30 /horizontal distance

horizontal distance= 30/tan(20⁰) ≈ 82.4 in.
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F(x) =16ˣ     and   g(x) = 16⁽ˣ/₂⁾

Since 16 = 2⁴, then we can write:

f(x) =2⁽⁴ˣ⁾  and  g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ

for x = 1 f(x) =  2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)

for x = 2 f(x) =  2⁸ = 256
for x = 2 g(x) = 2⁴ =16
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for x = 3 f(x) =  2¹² = 4096
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We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
 
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Trudy's father has a large collection of ties. He has 18 ties, and 2 of them are striped.
jenyasd209 [6]

Answer:

1/9

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What is the image point of (5, -2) after a translation left 6 units and down 7 units?
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Answer:

(-1,-9)

Step-by-step explanation:

(5,-2)

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starting at 5, move 6 units to the left, your new x-coordinate is -1

<u>-2</u>

-3

-4

-5

-6

-7

-8

<em><u>-9</u></em>

starting at -2, move 7 units down, your new y-coordinate is -9

The new point after the translation will be (-1,-9)

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