Answer:
1).
Alyssa:
About 1 book
Brandon:
About 1 book
Alyssa:
7/12 of a book
Brandon:
4/5 of a book
Step-by-step explanation:
Alyssa:
1/4=1/2
1/3=1/2
1/2+1/2=1
1/4= 3/12
1/3=4/12
3/12+4/12=7/12
Brandon:
2/5=1/2
4/10=1/2
1/2+1/2=1
2/5=4/10
4/10+4/10=8/10=4/5
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Answer:
Step-by-step explanation:
1) we have to find the area of the cut out portion
Since both circles in one side makes up the side 28cm
The diameter of each circle is 14cm
radius = diameter / 2
r = 7cm
Area of a circle = πr²
A = 22/7 × 7²
= 22/7 × 7 × 7
= 22 × 7 = 154cm²
So the four circles will make
= 154 + 154 + 154 + 154
= 616 cm²
The Area of the square will be
= L × L
= 28 × 28
= 784 cm²
Therefore the area of the remaining portion will be
Area of the square - total area of the circles
= 784 cm² - 616 cm²
= 168 cm²
The area of the remaining part is 168 cm²
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Answer
f(x)=9/x , g(x) = x / x + 1 = 9/2
Step-by-step explanation:
Answer:
103
Step-by-step explanation:
it has to add up to 180 so
180-77=103
