Answer:
4.30 inches
Step-by-step explanation:
Given data
Volume of basket ball= 334cubic inches
We know that the expression for the volume of a sphere is given as
Volume of sphere= 4/3πr^3
334= 4/3πr^3
334=4/3*3.142*r^3
334=4.189*r^3
r^3= 334/4.189
r^3=79.73
cubic root both sides
r= ∛79.73
r=4.30 inches
Use a straightedge to draw a diameter of the circle.
The scale factor is 2. I looked at point I then I' and point I was at 2/3 and I' was at 4/6 and so
2/3*2 is 4/6.
Answer: Choice A
A translation 4 units to the left followed by a dilation by 2
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Explanation:
The following transformations will make the pre-image and image congruent to one another:
- Reflection
- Rotation
- Translation
If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.
A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.
Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.
Answer: A: 75°
Step-by-step explanation:
Here the angles of the given triangle are 70°, 35° and x
Since, the sum of all three angles of a triangle is 180°,
⇒ Option A is correct.