Answer:2.828
Step-by-step explanation:
Given
Surface area of a cube is increased by a factor of 2
Let the original surface area be A
such that new surface area is 2A
for volume we need to know new radius
where r'=new radius
r=original radius
New volume(V')
Original volume
Answer:
10
Step-by-step explanation:
n is the number of selections and k the number selected, that is
n = 5 and k = 2
note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus
=
=
=
= 10
1/2 is the answer because 3 can divide into 6 evenly
Answer:
x = ; y = 2
Step-by-step explanation:
You have a 45 -45 - 90 triangle. There are two things to know"
1. The hypothenuse = leg ×
2. The legs are equal.
The hypothenuse is opposite the right angle that is "y" in this problem.
Hypothenuse = leg ×
=
The legs are =
Therefore x =
Answer:
1348 light years.
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between KA-7 and KA-11.
We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.
We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.
Upon substituting our given values in above formula we will get,
Let us take square root of both sides of our equation.
Therefore, KA-7 and KA-11 are approximately 1348 light years apart.