As Tina only has 1/4 of a cake. For simplicity sake we can do the calculation with a whole cake and then multiply by four!
First it is stated that cake is divided into six pieces, giving us our first number.
So,
6 x 4 = 24
This means that each friend will get 1/24th of the whole cake.
Answer: 21,400 mg
Step-by-step explanation: Multiply the mass value by 1000
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In a rectangle, opposite sides are equal so you can multiply the side lengths by 2 and add them so 16(2)+34(2) and yu get 32+68. The perimeter is 100
Answer:
circumference is 81.68
area is 530.93
Step-by-step explanation:
C=2πr=2·π·13≈81.68141
A=πr2=π·132≈530.92916
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.