The kite is flying at the height of 94 5/2 feet.
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
= 9.75 +84 2/3 { 9+0.75 = 9.75 84 2/3}
= 9 + 0.75 +84 2/3 { a+b+c+d = a+c+b+d}
= 9 + 84 + 3/4 + 2/3
=93 + 3*3 / 4*3 + 4*2 / 4*3
= 93 + 9/12 + 8/12
= 93 + 17/12
= 93 + (1 + 5/12)
= 94 + 5/12
=94 5/12 feet
{kite height = (post height + the height of the kite above the post)
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Answer:
Explanation Below
Step-by-step explanation:
1. -4 + | x - 1 | = 3
= -4 + | x - 1 | + 4 = 3 + 4
= | x - 1 | = 7
= x - 1 = -7 or x - 1 = 7
= x = -6 or x = 8
2. 6 + 4 | 2x + 6| = 14
= 6 + 4 | 2x + 6 | - 6 = 14 - 6
= 4 | 2x + 6 | = 8
= 4 | 2x + 6 | / 4 = 8/4
= 2x + 6 = -2 or 2x + 6 = 2
= x = -4 or x = -2
3. -10 + | -6 - x | = 1
= -10 + | -6 + x | + 10 = 1 + 10
= | -6 - x | = 11
= -6 - x = -11 or -6 - x = 11
= x = -17 or x = 5
4. | 7 - 2x | + 4 = 5
= | 7 - 2x | + 4 - 4 = 5 - 4
= | 7 - 2x | = 1
= 7 - 2x = -1 or 7 - 2x = 1
= x = 3 or x = 4
Here are the Steps:
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
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Numbers on the y-axis on a coordinate plane increase in UP direction.
Left hand side is '-x', right hand side is 'x'
Up is 'y' and down is '-y'
Y is the vertical axis and X is horizontal axis.
Answer:
904.9 in^3
Step-by-step explanation:
Given data
We are told that the ball is 12 inches in diameter
R= diamter/2= 12/2= 6 in
The volume of a sphere is given as
V= 4/3πr^3
substitute
V= 4/3*3.142*6^3
V= 4/3*3.142*216
V=2714.688/3
V=904.9 in^3
Hence the volume is 904.9 in^3
