Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:
And the area of the rectangle is:
If the perimeter of the window is 41 feet, we have:
Now, the equation for the total area of the window is:
To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:
So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
X axis (-40,0)
y axis (0,15)
Plug all three answers in and see which one does not equal 0
A: 2(1)+3(1)-7-12≠0
B: 2(6)+0-0-12=0
C: 2(3)+3(3)-3-12=0
So A. I don't know why it says two (?) points?
Answer: 5/24
Explanation: To subtract unlike fractions such as 7/8 - 2/3, first find a common denominator. The common denominator of 8 and 3 will be the least common multiple of 8 and 3 which is 24.
To get a 24 in the denominator of 7/8, we multiply both the numerator and the denominator by 3 to get 21/24.
To get a 24 in the denominator of 2/3, we multiply both the numerator and the deliminator by 8 and to get 16/24.
Now we are subtracting like fractions since both fractions have the same denominator or bottom number of 16.
To subtract like fractions, we simply subtract the numerators and keep the same denominator. So here, we have 21/24 - 16/24 which is 5/24.
Since 5/24 is in lowest terms, it's our final answer.
This means that 7/8 - 2/3 is 5/24.
Answer:
60
Step-by-step explanation:
The least common multiple of 2, 3, 4, 5, and 6 is 3×4×5 = 60.
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2, 3, 5 are primes, there will be at least one factor of each of those in number you're looking for.
4 = 2², so there must be 2 factors of 2 in the number you're looking for.
6 = 2×3, so is already covered by the factors we have listed so far.
LCM = 2²×3×5 = 60
The least number divisible by numbers 2 through 6 is 60.
