Answer:
should be 63
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
60 pounds of onion rings and 60 hamburgers.
Explanation:
Jack serves a half pound of onion rings with every burger. He serves 120 bacon cheeseburgers. To find the number of pounds of onion rings, we multiply 1/2 pound by 120 burgers:
1/2(120) = 1/2(120/1) = (1*120)/(2*1) = 120/2 = 60 pounds of onion rings.
There were 8 hamburgers served out of the first 40 orders. If this rate continues, then to find the number of hamburgers out of 300 orders, we multiply 8/40 by 300:
8/40(300) = 8/40(300/1) = (8*300)/(40*1) = 2400/40 = 60
There would be 60 hamburgers.
The angles are <span>supplementary
</span>
7x + x + 20 = 180
8x = 160
x = 20
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
To go from the original to number I you need to do a reflection across the y-axis. To go from I to II you need to do a 90 degree clockwise rotation about the origin.
