We will build the equation in the form of y = mx + b where 'm' is the slope and 'b' is the y-intercept.
We know the slope and we know the where the line intercepts the y-axis.
The answer:
y = 1x + -1
Because the coefficient of "1x" is just one we can simplify to the final answer:
y = x + -1
Lwh/ 3 so its B. 120 ft ^3
Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
Tanα=y/x
y=xtanα, we are told that x=25ft and α=30°
y=25tan30° ft
y≈14.43 ft (to nearest hundredth of a foot)
Since their home is 20 feet from the base of the tree, it poses no risk right now.
Answer:
r = c -km÷m
Step-by-step explanation:
C=( r+k) m (multiple the m with the letters in the brackets)
rm + km= c (cross the km over the equal sign and it will be a negative)
rm= c- km (then divide everything by my)
rm÷m = c - km÷ m
r = c- km÷ m