Answer:
B
Step-by-step explanation:
Hope this helps! Don’t mind the part I crossed off.
Sinα=h/L where h=height, L=string length...
h=Lsinα so
h(25°)=50sin25≈21.1ft
h(45°)=50sin45≈35.4ft
Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
Perimeter: 36.84 feet
Let’s start with the easy part...all the rectangle pieces 6 x 3 = 18 feet
We know from subtracting the rectangle length (6ft) from the total length (12 ft) that the diameter of the circle is 6ft.
Circumference = diameter x pi
= 6 x 3.14 = 18.84
We have the circle split into 2 halves, but the circumference remains the same
18 + 18.84 = 36.84