Answer:
I think 53.334 ounces were added to dilute the lemonade
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.
Answer:
2,200 students
Step-by-step explanation:
To find the number of students, create a proportion which is two equal ratios. Since the middle school and the high school are proportional then they have equal ratios.
Solve for x by cross multiplying by multiplying the numerator and denominator of each fraction.
900(110) = 45(x)
99,000=45x
2,200 = x
Answer: The function c(p) represents the cost for (P) people to attend the movies.
The function t(m) represents the average high temperature for a given number of months.
Step-by-step explanation:
Answer:
The HA Theorem states; If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent. ... They are both facing with their hypotenuses to the right, which means their right angles are to the left -- HA!
Step-by-step explanation:
