3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m
6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6
10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)
The arc length of the semicircle is 15.7
<h3>Calculating Arc length </h3>
From the question, we are to determine the arc length of the semicircle
Arc length can be determined by using the formula,
Arc length = θ/360° × 2πr
Where θ is the angle subtended by the arc
and r is the radius of the circle
In the given diagram,
θ = 180°
and r = 10/2
r = 5
Thus,
The arc length of the semicircle = 180°/360° ×2×3.14×5
The arc length of the semicircle = 1/2×2×3.14×5
The arc length of the semicircle = 15.7
Hence, the arc length of the semicircle is 15.7
Learn more on Calculating Arc length here: brainly.com/question/16552139
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Three A grows 1 meter in 110/45 = 2.44 years;
Three B grows 1 meter in 1840/110 = 16.72 years;
Because 2.44 < 16.73, the tree A grows faster than tree B.
Answer:
2/3(3/4x-3/2) = 1/2x-1
(2x+1) - (x+3/2) = x - 1/2
Step-by-step explanation:
1) Distribute 2/3 to both 3/4x and -3/2
2/3(3/4x) = 6/12x which can be simplified as 1/2x
2/3(-3/2) = -6/6 which simplifies to -1
2/3(3/4x-3/2) = 1/2x-1
2) (2x+1) - (x+3/2) combine like terms
2x-x = x
1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)
1- 1 1/2 = -1/2, so
(2x+1) - (x+3/2) = x - 1/2
Option 1 is the correct answer
