Answer:
615.44 in²
Step-by-step explanation:
The shape of Captain America's shield = Circular
The area of a circle = πr²
The radius of the whole shield = 14 inches.
The first ring = Red ring
Hence, the area of the red ring =
π = 3.14
3.14 × 14²
= 615.44 in²
The area of the space he needs to paint red is 615.44 in²
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
__
Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer:
3,6,9,27 and 2,4,6,18
Step-by-step explanation:
It simple
Answer:-5
Step-by-step explanation:
-6n-6+1+6n
Subtract -6 from 1 which equals -5
Cancel the -6n+6n
And there you have it
-5
Answer: 12.3 ft.
Step-by-step explanation:
In the given picture we can see there is a right triangle with hypotenuse 15 ft.
Using trigonometry in the given right triangle, we have

Hence, the length of rope A = 12.3 ft.