Answer: here is your answer she gave 208 friends her candy
Answer:
The diameter is 14
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the area is 49 pi
49 pi = pi r^2
Divide each side by pi
49 pi/ pi = pi r^2/pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 =r
We want the diameter
d = 2r
d = 2*7
d = 14
Answer:
Step-by-step explanation:
1.
Area of shaded region = Area of external rectangle - Area of internal rectangle
2.
Let the width of the rectangle be x inches.
Therefore, length of the rectangle = (x + 3) inches
A.
Area of rectangle
B.
Width of rectangle = 4 inches
Length of rectangle = 4 + 3 = 7 inches
Area of rectangle = 7*4 = 28 square inches.
I'll go over part A.
What's happening is that we are plugging some unknown number x into the function, and getting -1 as the result. The function rule is 3*x-7 which translates to "multiply the input number by 3, then subtract off 7"
Notice how multiplication comes first and then we subtract. This is following the order of operations PEMDAS (some books may call it BEDMAS depending on your region). The M for multiplication comes before the S for subtraction.
To isolate x, we follow the order of operations in reverse. We undo the "subtract off 7" then we undo the "multiply by 3"
So this is how it all works out
f(x) = 3x-7
-1 = 3x-7 .... replace f(x) with -1
3x-7 = -1
3x-7+7 = -1+7 ... add 7 to both sides to undo the "-7"
3x = 6
3x/3 = 6/3 ... divide both sides by 3 to undo the "multiplication"
x = 2
Therefore, if the input is 2, then output is -1
------------------------------------------------------------
Let's plug x = 2 into the function and see what happens
f(x) = 3x-7
f(2) = 3*2-7 .... replace x with 2
f(2) = 6-7 .... multiply
f(2) = -1 .... subtract
The input x = 2 leads to the output -1
So this confirms that x = 2 is the proper answer for part A
Answer:
x=30
Step-by-step explanation:
2x+x+90=180 (anglesome prop.)
3x+90=180
3x=180-90=90
3x=90
x=90/3=30
