Answer:
7, 7, 60, 60, 60
Step-by-step explanation:
When you draw the circles thhey all hhave radius AB so AB=AC=BC =7
and since all sides are congruent you have a equilateral treangle so all angles are equal to 180/3=60
Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
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Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
To figure this out, you should think about the multiples of 10 boxes you could have.
If I had 10 small boxes, there would need to be 86 large boxes. 86 is not evenly divisible by 8 so that doesn't work.
If I had 20 small boxes, there would be 76 large boxes. 76 is not evenly divisible by 8.
If I had 30 small boxes, there would be 66 large boxes. 66 is not evenly divisible by 8.
If I had 40 small boxes, there would be 56 large boxes. 56 is every divisible by 8.
4 cartons of 10 small boxes and 7 cartons of 8 large boxes would be needed. This is a total of 11 cartons.
1/4 of 3/5 is 3/20. You find this by multiplying the 2 fractions. Numerator by numerator and denominator by denominator.
<u>Answer:</u>
Piston displacement = 84.8
<u>Step-by-step explanation:</u>
We will find the volume of the cylinder in order to find the piston displacement.
Here, (bore = diameter, so r = diameter/2) (height = stroke)
Volume = 
= 21.2 cubic units
Since the engine has 4 cylinders, so we will multiply the piston displacement by 4 to get:
Piston displacement = 
= 84.8
