Answer:
Step-by-step explanation:
The square indicates that the total angle is 90 degrees so
d+59=90
d=90-59
d=31 degrees
Answer:
Step-by-step explanation:
This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.
Answer:
a. We can say that P > C, where 'P' represents Peter's earnings and 'C' represents Cindy's earnings.
Given that P = 3h and C = 2h, where h =$4.50. We can say also that 3h > 2h.
b. If Cindy wants to earn at least $14 a day working two hours. Then:
2h ≥ $14
To solve the problem, we just need to solve for 'h':
h ≥ $7
Therefore, se should earn more or equal to $14 per hour.
About 6 times. 6.4 to be exact!
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.
