Answer:
17
Step-by-step explanation:
given
2f + 4f + 2 - 3 ← simplify by collecting like terms
= 6f - 1 ← substitute f = 3 into the expression
= (6 × 3) - 1 = 18 - 1 = 17
Answer:
x = 11
Step-by-step explanation:
(0.3x - 2.1)/3 = 0.4
0.3x - 2.1 = 0.4 * 3
0.3x - 2.1 = 1.2
0.3x = 1.2 + 2.1
0.3x = 3.3
x = 3.3/0.3
x = 11
Answer:


Step-by-step explanation:
We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.
, where r represents radius of the circle.



Therefore, the exact area of the side walk is 
To find the approximate area of side walk let us substitute pi equals 3.14.


Therefore, the approximate area of the side walk is
.
We know the opposite side (10) and the adjacent side (7), so we can use tangent to find angle B. Since tan = opposite side/adjacent side, we can set up this equation: tan(B) = 10/7. We can get B on its own by making the equation this:

Now, we plug this into our calculator to get:
B = 55°, so angle B is 55°.
Let me know if you need any more help!
Answer:
The single transformation that maps shape A into shape B is 4 steps right and 3 steps down.