Answer:
4.24
Step-by-step explanation:
Using the distance formula you find out the answer
Answer:
cos(theta/2) = sqrt((1+x)/2)
Step-by-step explanation:
From the double angle formula
cos^2(t)-sin^2(t) = cos(2t) ...................(1)
cos^2(x)+sin^2(x) = cos(t-t) =1...............(2)
Add (1) and (2)
2cos^2(t) = 1+cos(2t)
cos^2(t) = (1+cos(2t))/2
cos(t) = sqrt((1+cos(2t))/2)
substitute t = theta/2
cos(theta/2) = sqrt((1+cos(theta))/2)
substitute cos(theta) = x
cos(theta/2) = sqrt((1+x)/2)
Answer:
(0,-6)
Step-by-step explanation:
3x-4y=24
To find the y intercept, let x =0 and solve for y
3(0) -4y =24
-4y =24
Divide by -4
-4y/-4 = 24/-4
y = -6
The y intercept is
(0,-6)
Answer:
1072.3
Step-by-step explanation:
A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.
V = (2/3)*
= (2/3)*
= (2/3)**512
= 1072.3
ABCSolve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88
Check<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180
It checks and we are done with this triangle.
A'B'C'
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88
ConclusionA = A'
B = B'
C = C'
All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.
CommentNote: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem.
