Same as all the other ones like this.
Since the two figures are similar . . .
-- The ratio of of their volumes is R³ .
-- The ratio of their surface areas is R² .
-- The ratio of their dimensions is R .
So R³ is 729 / 2744 .
Take the cube root of that and you'll have R .
Then square R and you'll have the ratio of their surface areas.
Answer:
- reflection about the x-axis
- translation down 2 units
- translation right 3 units
Step-by-step explanation:
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

, where

represents the points being passed through.



Answer: 23 1/24
Step-by-step explanation:
There's no divisible number, hence multiply the two denominators to get 24
Then solve to get: 23 16 -15/24
23 1/24
Answer:
Option D. The student did not use the correct formula to calculate the area of the segment
Step-by-step explanation:
step 1
Find the area of the isosceles triangle
Applying the law of sines

step 2
Find the area of the sector
The area of the sector is 1/6 of the area of the circle
so

substitute the value

step 3
Find the area of the segment
The area of the segment is equal to the area of sector minus the area of triangle

therefore
The student did not use the correct formula to calculate the area of the segment