Answer:
perimeter = 44.05 yd
area = 164.25 yd^2
Step-by-step explanation:
The figure is shaped like a trapezoid with a semicircle.
Perimeter:
We add the lengths of the three sides of the trapezoid and the circumference of the semicircle.
perimeter = 15 + 11.2 + 10 + 0.5 * 3.14 * 5
perimeter = 44.05 yd
Area:
We find the area of the trapezoid and add to it the area of the half circle.
area = 0.5(10)(10 + 15) + 0.5(3.14)(5^2)
area = 164.25 yd^2
You need to know the value of X to determine whether or not the equation is true.
Answer:
0.5
Step-by-step explanation:
The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
