Times the two radicals together
So it's:
8*sqrt 15*5 (find common numbers between 5 and 15 which is 5)
8*sqrt(5^2*3)
8*5 sqrt3
40 sqrt 3
Hope this helped :)
Answer:
a. 4/7
e. 3/4
Step-by-step explanation:
For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.
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a. The desired fraction is ...
(dots in the triangle)/(all dots) = 16/28 = 4/7
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e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
5
Explanation:
2 - (-3) = 5
