43) ang 1 = ang 2
5x = 9(x-4)
5x = 9x - 36
4x = 36
x = 9. so ang 1 + ang 2 = 90°
44) ang 1 +ang 2 + ang 3 = 180
60 + 7x+1 + 9x+7 = 180
16x = 112
x = 7
so angle 2 is 7*7+1= 50°
angle 3 is 9*7+7= 70°
45) let ang 2=x, then ang 1 is 3x
then 3x+x=96
4x = 96
x=24
angle 2 is 24° and angle 1 is 72°
6 inches
6 1/14 inches
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So
51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6
51/4 / 21/10 = 51/4 * 10/21 = 510/84 = 85/14 = 6 1/14
Answer:
The density of the material must be at least 1.5 g/cm³.
Step-by-step explanation:
The volume for a pyramid is given by the following formula:
V = (1/3)*Abase*h
Where V is the volume, Abase is the base area and h is the height. For Alexis's pyramid, we have:
V = (1/3)*100*6 = 200 cm³
Since he wants the paperweigth to have a mass of at least 300 grams, the density must be at least:
density = mass/volume = 300/200 = 1.5 g/cm³
Answer and explanation:
Decision variables are variables that are independent(indeoendent variables) and can be controlled by the decision maker. Decision variables influence outcome or result of a solution, usually denoted x in linear programming.
Decision variables above include:
Number of Aqua-Spa Produced.
* Number of Hydro-Lux Produced.
* Number of Pumps Purchased.
* Amount of Available Labor Hours.
* Amount of Available Tubing Available
Radius: 11 units
Volume: 5575.28
