D. people do not have to have a good or service that another person wants
Reason: Money gives people a universal unit of value. For example, If I needed a toothbrush and I have a pair of scissors, In order for me to get a tooth brush is to trade my scissors with someone else who has a tooth brush and wants scissors. As you can see, this isn't practical. If I had money, I will only need to find someone who has a tooth brush.
Answer:
AC = 14 sqrt(2) = 19.80
Step-by-step explanation:
Below is the diagram showing you how this has been set up. The figure is a trapezoid which means BC and AD are parallel. AC is a transversal of the parallel lines.
Givens
- <ABC = <ACD
- ABCD is a trapezoid
- BC = 14
- AD = 28
- AC is a transversal of BC and AD
Solution
- <ABC = <ACD Given
- <DAC = <ACB Alternate interior angles.
- ΔACB ≅ΔDAC AA
- <BAC = <ADC Angles of similar triangles are equal
- AC /28 = 14/AC Form a proportion from corresponding sides
- AC*AC = 14 * 28 Cross multiply the proportion. Combine
- AC^2 = 392 Express as prime factors.
- AC^2 = 7*7*2*2*2 Take the square root of both sides
- sqrt(AC)^2 = sqrt(7*7*2*2*2)
- AC = 7*2 * sqrt(2)
- AC = 14 sqrt(2) = 19.80
The answer should be C because it's 50 - 18 - 16 - 8, which equals 8.
1 m = 100 cm....so 2.5 m = (2.5 * 100) = 250 cm
a = 1st shelf
b = 2nd
c = 3rd
d = 4th
a + b + c + d = 250
b = 2a + 18
c = a - 12
d = a + 4
a + (2a + 18) + (a - 12) + (a + 4) = 250
5a + 10 = 250
5a = 250 - 10
5a = 240
a = 240/5
a = 48 cm <== 1st shelf
b = 2a + 18 = 2(48) + 18 = 114 cm <== 2nd shelf
c = a - 12 = 48 - 12 = 36 cm <== 3rd shelf
d = a + 4 = 48 + 4 = 52 cm <== 4th shelf
so 2nd shelf is 114 cm
Answer:
(1.2. - 4.7)
Step-by-step explanation:
On a coordinate plane, a line is drawn from point A to point B. Point A is at (7,-2) and point B is at (-8,-9).
Now, it is asked the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8.
So, the coordinates of point C are
![[\frac{5 \times (- 8) + 8 \times 7}{5 + 8}, \frac{5 \times (- 9) + 8 \times (- 2)}{5 + 8}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%20%5Ctimes%20%28-%208%29%20%2B%208%20%5Ctimes%207%7D%7B5%20%2B%208%7D%2C%20%5Cfrac%7B5%20%5Ctimes%20%28-%209%29%20%2B%208%20%5Ctimes%20%28-%202%29%7D%7B5%20%2B%208%7D%5D)
= ![[\frac{16}{13}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B16%7D%7B13%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2. - 4.7) (Answer)
{Round to the nearest tenth}