Step-by-step explanation:
Arc length formula is
where x is radinas.
A semi circle has a radian measure of
The radius is half of the diameter, 12 so the radius is
So the arc length is
Area of semi circle is
where r is the radius.
Answer:
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<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
The y intercept is the value of y when x=0. Substituting we get
y = 4
Answer: 4
Answer:
73
Step-by-step explanation:
Mean is the number of copiers combined / number of months
79 * 5 = 395
93 + 30 + 138 + 61 = 322
395 - 322 = 73
Answer:
well this is simple 5x6= 30 and 6x6= 36 so its 30/6
Step-by-step explanation:
because we need to get 6 to 36 and we know that 6x6 then you also have to multiply 5x6 so then thats 30
