Answer:
21.07 yd^2
Step-by-step explanation:
The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.
The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.
area of shaded region = area of rectangle - area of semicircle
A = LW - (1/2)(pi)r^2
A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2
A = 98 yd^2 - (1.57)(49 yd^2)
A = 98 yd^2 - 76.93 yd^2
A = 21.07 yd^2
Answer:
Almond: $7/4 per pound
Jelly Bean: $ 11/4 per pound
Step-by-step explanation:
A: almond
J: jelly bean
3A + 5J = 19 .... multiply 9 each side
27A + 45J = 171 .....(1)
9A + 7J = 35 .....multiply 3 each side
27A + 21J = 105 ....(2)
(1) - (2) 24J = 66
J = 66/24 = 11/4
3A + 5 x 11/4 = 19
3A = 21 / 4
A = 7/4
Answer:
Step-by-step explanation:
Lets say Rhonda drove x miles, then Jamie drove 2x miles
x+2x=90
3x=90 divide each side by 3
x=30
so Rhonda drove 30 miles and Jamie drove 30*2=60 miles
I'm assuming you meant to say "graph" instead of "table".
The function rule is y = x+2 because the y intercept is 2, where the graph crosses the y axis. The slope is 1 meaning we move 1 unit up and 1 unit to the right each time. You can use the slope formula to determine the slope, or simply make this observation of rise vs run.
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Because this line doesn't go through the origin, and because it's not in the form y = k*x, this means we do not have a direct variation equation.
We do not have an inverse variation equation either because it is not in the form y = k/x or x*y = k. A visual indication of this is that the graph isn't a curved hyperbola.
Therefore, this function is <u>neither </u>direct variation nor inverse variation
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Plug in y = 10 and solve for x
y = x+2
x+2 = y
x+2 = 10
x+2-2 = 10-2
x = 8
The value of x is 8
So if x = 8, then y = 10 meaning that (x,y) = (8,10) is on this blue diagonal line.
Hello,
(3+2i)z+1-2i=2iz-2+i
<==>(3+2i-2i)z=-2+i-1+2i
<==>3z=3(-1+i)
<==>z=-1+i
