Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Answer: If I’m not mistaken, the largest area is 75 m2 and the smallest is 2 m2
Step-by-step explanation:
For both : since they are asking for the area, you should calculate the perimeter.
So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.
And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.
1200 = 100%
35% of 1200 = 420
1200 + 420 = 1620
There are 1620 students enrolled this year.
Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
0.2 (y+2) = 0.2y + 0.2(2)
= 0.2y + 0.4
