Answer: 
<u>Step-by-step explanation:</u>
Blue = 5, Red = 3, Green = 2, Total = 10
Probability = First draw and Second draw
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Answer:
The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.
Angle Y = 68 (opposite quadrilateral angles are equal).
All quadrilateral angles add to 360 so:
68 + 68 + x + z = 360 = 292
angle X + Z = 292
Therefore angle x = angle z = 146
Step-by-step explanation:
OK first change 3 3/4 to an improper fraction and that will give you 15/4. so you got that part right. Next, change the division sign to multiplication. then flip the 1/2 to 2/1. Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of 30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.
Answer:
Step-by-step explanation:
27 is the "center" of a range of measurements of the height of the guard rail. The height could be as much as 30 inches or as little as 24 inches. The absolute value operator encloses "x - 27," where 27 is the "center." The acceptable excess or acceptable deficiency is 3 inches.
So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.
Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator. 27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is
D: |h - 27| ≤ 3 (measurements in inches).
Answer:

Step-by-step explanation:
Height of the Cylinder= 30 feet
Diameter = 8 feet
Radius= Diameter/2 = 8/2 = 4 feet
The Amount of Metal Sheet used in constructing the tank is the Total Surface Area of the Tank.
Total Surface Area of a Cylinder =
