Answer:
818.4 in²
Step-by-step explanation:
shaded region = area of sector - area of triangle
area of sector = area of circle × fraction of circle
A = π × 27.8² × ≈ 1011.65 in²
area of triangle = 0.5 × 27.8 × 27.8 × sin150° ≈ 193.21 in²
shaded region = 1011.65 - 193.21 ≈ 818.4 in²
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5a + ( -5 ) - 3a + 10b - 3 - b
( 5a - 3a ) + ( -5 - 3 ) + ( 10b - b )
2a + ( -8 ) + 9b
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Answer:
Step-by-step explanation:
To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.
We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.
We can find the slope of that line by putting it in slope-intercept form:
8x + 3y = -6
Subtract 8x from both sides.
3y = -6 - 8x
Divide both sides by 3.
So the slope of that line would be -8/3.
The negative reciprocal of -8/3 would be 3/8.
Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:
Now lets change this into slope-intercept form. Add 2 to both sides.
Distribute the 3/8.
Simplify.
And now we have our equation in slope-intercept form.
I hope you find this helpful.