Answer: gymnastics 35
music 21
swimming 36
Step-by-step explanation:
gymnastics 35=20+9+6
music 21=8+7+6
swimming 36=20+9+7
Answer:
a) 5
Step-by-step explanation:
Put them into slope intercept form AKA y=mx+b: -5=m1+b <em>and</em> 5=m3+b
Subtract the equations to get -10=-2m
Divide both sides by two to get: 5=m
Hope this helps! (^-^)
Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify

Answer:
translation,reflection,
Step-by-step explanation:
because you move thing in different direction
Answer:

Step-by-step explanation:
By applying the concept of calculus;
the moment of inertia of the lamina about one corner
is:

where :
(a and b are the length and the breath of the rectangle respectively )


![I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Bbx%5E3%7D%7B3%7D%2B%20%5Cfrac%7Bb%5E3x%7D%7B3%7D%5D%5E%20%7B%5E%20a%7D%20_%7B_0%7D)
![I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Ba%5E3b%7D%7B3%7D%2B%20%5Cfrac%7Bab%5E3%7D%7B3%7D%5D)

Thus; the moment of inertia of the lamina about one corner is 