Answer:
x/3 -3= 18 (add three to both sides)
x/3= 21
x/3(*3) =21(*3) (multiply by 3 on each side to cancel out the division)
x= 63
63/3-3=18
21-3=18
18= 18 (checking answers)
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.
Length of sector DC = 2
r
270 = 2
(8+OA) *(8+OA is the raidus of the bigger circle/sector)*
270/2
= 8 + OA (division)
135/
-8 = OA
135/
-8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)
I hope this helps you! Please correct me if you see a miscalculation <3<3
Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:


So, the scale factor (k) from large to small is:


Read more about dilation at:
brainly.com/question/13176891
Answer:
g(f(x)) = √(x^2 +17)
Step-by-step explanation:
For ...
f(x) = x^2 +9
g(x) = √(x +8)
The definition of g(f(x)) is ...
g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)
g(f(x)) = √(x^2 +17)
radius = 3 feet
rearrange the formula making r the subject
πr³ = V ( multiply both sides by 3 to eliminate fraction )
4πr³ = 3V ( divide both sides by 4π )
r³ =
= ( 3 × 36π ) / 4π = 3 × 9 = 27
take the cube root of both sides
r =
= 3