Answer:
141.4 sq cm
Step-by-step explanation:
to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger
the radius of the smaller circle is 2
we have to find the radius of the larger circle so we use what we know about its circumference:
C = 2πr
43.96 = 2πr
21.98 = πr
21.98 / π = r
r ≈ 7 cm
now use r = 7 to find area of larger circle:
A = πr²
A = π49
Area of smaller circle: 4π
Area of larger circle without including inner section is 49π - 4π = 45π
45π ≈ 141.4 sq cm
The slope of the line 
is 
.
The line perpendicular to the above line has slope 
Its equation is 
. Since this line passes through, 
,
Thus the equation of the line in slope intercept form is 
Answer:
A) 0.36 with a line over both 36 means as a decimal the 36 repeats, so it would look like 0.363636
as a fraction it would be 36/99, divide both numbers by 9 to get 4/11
B) 0.36 with the line over the 6 means just the 6 repeats so it would look like 0.3666
as a fraction that would be 33/90 , divide both by 3 to get 11/30
C) 0.36 would be 36/100, divide both numbers by 4 to get 9/25
Stainep-by-step explain
Answer:
The output H is 20 when the input, x, is -18
Step-by-step explanation:
H= 17 + x/6
When the input, x, is -18 then the output H will be:
H= 17 + 18/6
H= 17 + 3
H = 20
Answer: The output H is 20 when the input, x, is -18
Answer:
Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.
Step-by-step explanation:
Each ounce of the 14% copper contains 0.14 ounce of pure copper.
Each ounce of the 23% copper contains 0.23 ounce of pure copper.
Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.
Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.
x+y = 90
y = 90-x
0.14x + 0.23y = 0.181·90
0.14x + 0.23(90-x) = 16.29
0.14x + 20.7 - 0.23x = 16.29
-0.09x + 20.7 = 16.29
4.41 = 0.09x
x = 49
y = 90-x = 41
Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.
