B: 604 in3
C: 668 in3
D: 636 in3
Answer:
r=4.5, half of diameter
(4.5)^2 *pi * 9.5 inches=604.06 in^3.
Step-by-step explanation:
hope this helped your boi - johnny joestar
graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3.
Part A: Using the graph above, create a system of inequalities that only contains points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.
Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A.
Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend.
Answer:
Part A: We have the points A = ( 1,3 ) , B = ( 3,1 ) and C = ( 3,-3 ).
We will first find the equation of line AB and AC.
Now, the slope of AB is .
So, substituting in y = mx + b along with the point ( 1,3 ) gives,
3 = -1 + b i.e. b = 4.
So, the equation of AB is y = -x + 4.
Further, slope of AC is .
Again, substituting in y = mx + b along with the point ( 1,3 ) gives,
3 = -3 + b i.e. b = 6
So, the equation of AC is y = -3x + 6.
Using 'zero test', we get that,
y = -x + 4 gives 0 = 4, which is not true.
y = -3x + 6 gives 0 = 6, which is not true.
Hence, the solution region will be away from the origin as shown in the figure 1 below.
Thus, we get the system y>-x+4 and y>-3x+6 containing point B and C.
Part B: We have the equations y = -x + 4 and y = -3x + 6.
Substitute the points B = ( 3,1 ) and C = ( 3,-3 ) into these equations respectively, we get,
y = -x + 4 gives y = -3 + 4 i.e. y = 1
y = -3x + 6 gives y = -3 × 3 + 6 i.e. y = -9 + 6 i.e. y = -3.
Hence, points B and C are the solutions of the system in Part A.
Part C: After plotting y>2x+5, we ca see from the second figure that the points included in the shaded region are D = ( -4,2 ) and E = (-1, 5).
So, Lisa is allowed to attend the schools D and E.
A. $44
B. $46
C. $52
D. $92
Answer:
$46
Step-by-step explanation:
The number of boxes of chopsticks that the manager order will be 30.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A Chinese café utilizes around 225 sets of chopsticks every day the supervisor needs to arrange a multi-day supply of chopsticks the crates come in of 750 sets
The number of chopsticks required in a month is given as,
⇒ 225 x 30
⇒ 6750
Then the number of boxes of chopsticks is given as,
⇒ 6750 / 225
⇒ 30
The number of boxes of chopsticks that the manager order will be 30.
More about the Algebra link is given below.
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-2 + (10 + 1) = (-2 + 10) + 1
Those addends are in the same order on the left and right, only the parentheses have changed. That's the
Associative Law of Addition
The number 16.6666667 rounded to the nearest tenth is 16.7. Rounding is done by looking at the number to the right of the digit you're rounding to; if it's 5 or more, you round up.
The student is asking about rounding the number 16.6666667 to the nearest tenth. Rounding is used to make a number easier to work with. In this case, we will be rounding to the tenth place, which is one decimal place to the right of the decimal point.
The number in the tenth place here is 6. The number to its right is also 6. When the number to the right of the digit you are rounding to is 5 or more, you round up. Therefore, 16.6666667 rounded to the nearest tenth is 16.7.
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