Answer is 34 units.
Figures are defined by pre-image and image, so the image would be the dilation while the pre-image is the original figure. So with the preimage being larger, the dilation has to be a fraction less than 1.
Here preimage is smaller, and image is bigger hence scale factor is greater than 1 i.e. 2
Due to dilation, a similar figure is obtained without disturbing the shape of pre image.
Hence AB will becomes A'B' with length = scale factor x AB
= 2x AB.
We can find out AB using distance formula
AB = √(x₂-x₁)²+(y₂-y₁)²
=√(8-0)²+(8+7)²=√(64+225) =√289 = 17
Hence Length of A'B' = 2(17) = 34 units.
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by
surface area of sphere is given by
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,
Thus, radius of sphere is 3 units.
Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
Answer: 11:35
Explanation: because if the time is between 11-12 then it can’t go higher than 12 or lower than 11 which means it’s somewhere around starting with 11. and the full hour is 60 minutes so subtract the 25 minutes with 60 and you get 35. so the time should be 11:35 right now.
270+3s>=540. i did the math and I'm pretty sure this is the correct answer