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If you pull the information into a mathematical context, you'll notice it is asking for the highest common factor of the 2 numbers
Let's put both of them in prime factorization:
96 = 2^5 x 3
72 = 2^3 x 3^2
Now pick out what is common in these
2^3 x 3 = 24
Thus it would be 24 feet
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Answer:
Step-by-step explanation:
Step 1: Solve one of the equations for one of the variables.
Step 2: Substitute that equation into the other equation, and solve for x.
Step 3: Substitute x values into one of the original equations, and solve for y.
The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse = units
∵ sinФ =
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ =
The value of sine theta = negative eight-seventeenths
Learn more:
You can learn more about the trigonometry function in brainly.com/question/4924817
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Answer:
6 of x and 5 of y
Step-by-step explanation:
x = number of closets of the first type
y = number of closets of the second type
1200 = 100x + 120y
100 = 10x + 8y
10x = 100 - 8y
10x(100 - 8y) + 120y = 1200
1000 - 80y + 120y = 1200
40y = 200
y = 5
100 = 10x + 8×5 = 10x + 40
60 = 10x
x = 6
20x + 24y = max
20×6 + 24×5 = 120 + 120 = 240
25 *48 = 1200 total quarts
1200/7 = 171.43 hours
171.42/24 = 7.14 days
so every 7 days