What is 21/75 simplified sorry guys really bad at this
2 answers:
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The height of broken part of tree from ground is 5.569m.
Justification:
Let BD is a tree of height 12 m.
<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>.
i.e., CD = AC = h m
<u>Broken part makes 60° angle from ground</u>
So, ∠BAC = 60°
<u>Now, height of remaining part of tree</u> = (12 – h)m.
In right angled ∆ABC,
sin 60° = BC/AC
⇒ √3/2 = (12 - h)/h
⇒ √3h = 2(12 – h)
⇒ √3h = 24 – 2h
⇒ √3h + 2h = 24
⇒ h(√3 + 2) = 24
⇒ h(1.732 + 2) = 24
⇒ h(3.732) = 24
⇒ h = 24/3.732 = 6.4308 m
<u>Hence, height of broken tree from ground</u>
⇒ BC = 12 – h
⇒ 12 – 6.4308 = 5.569m
<u>Hence, tree is broken 5.569 m from ground</u>.
<u>Note</u>: See attached picture.
Answer:
Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
Explanation:
When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).
Here it is given that (2,8) is on the graph of f(x)
Now we need to find corresponding point to (2,8) along -3/4 f(x)
x - coordinate =
y - coordinate =
So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )