121,580 = 122,000 <span>rounded to the nearest thousand</span>
Answer:
<em>x = 10; y = 20</em>
Step-by-step explanation:
8x + y = 100 (alternate exterior angles are congruent)
4x + y = 60 (corresponding angles are congruent)
Subtract the second equation from the first equation.
4x = 40
x = 10
Substitute x = 10 in first equation and solve for y.
8(10) + y = 100
y = 20
Remark
There must be 12 such boxes. Each one has a volume of 4 * 4 * 4 = 64 in^3
Proportion
1 box is 64 in^3
12 boxes = x
1/12 = 64/x Cross multiply
x = 12 * 64
x = 768 in^3
Note: We are not concerned with how to stack these boxes. We only want to know the volume.
Answer:
Step-by-step explanation:
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>