Answer:
192.5 ft²
Step-by-step explanation:
The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...
large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²
The area of the 100° triangle is ...
triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²
Then the shaded area is ...
shaded area = large sector area + triangle area
= 158.195 ft² +34.332 ft² ≈ 192.5 ft²
The shaded area is about 192.5 square feet.
The answer to this question is 7/12 because 2/4 is equal to 1/2 and 7/12 is over one half
Answer:
y = 5x -3
Step-by-step explanation:
y = mx + b
b is the y intercept, so you can replace b with -3
m is the slope so you can replace m with 5
and you get your answer y = 5x - 3
I take the points that you gave. Let named A(0,-3) and B(2,1)
The slope coefficient is S= (yb-ya)/(xb-xa)
S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2
The correct answer is positive slope
Good luck!!!
First, illustrate the problem:
24 feet is the distance between the tree and the mirror.
4 feet is the distance from Irene's eyes to the mirror.
5.5 feet is the distance of Irene's eyes from the ground.
4 feet is the distance of Irene from the mirror
From this, we can draw a right triangle and then use the Pythagorean theorem to solve for the height of the oak tree. Also, we have an option to use ratio and proportion between two similar triangles.
