Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
Step-by-step explanation:
Answer:
78.10 cm^2
Step-by-step explanation:
The area of the shaded region is the area of the rectangle subtracted from the area of the circle.
area of circle = (pi)r^2
area of rectangle = LW
shaded area = area of circle - area of rectangle
shaded area = (pi)r^2 - LW
shaded area = (pi)r^2 - LW
shaded area = (3.14159)(6 cm)^2 - (7 cm)(5 cm)
shaded area = (3.14159)(36 cm^) - 35 cm^2
shaded area = 113.097 cm^2 35 cm^2
shaded area = 78.097 cm^2
Answer: 78.10 cm^2
Answer:
<h3>3 secs</h3>
Step-by-step explanation:
Given the height of the object as it drops from the observation deck expressed as;
h= -16t^2+152
To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;
8 = -16t^2+152
subtract 8 from both sides
8-8 = -16t^2+152-8
0 = -16t^2+144
0-144 = -16t^2
-144 = -16t^2
16t^2 = 144
Divide both sides by 16;
16t^2/16 = 144/16
t^2 = 9
t = √9
t = 3seconds
Hence it will take 3 seconds for the object to be 8 feet above the valley floor
Answer:
180
Step-by-step explanation:
The difference between 68 and 23 is 45. The company charging 23$ has to be 45$ more for the amount of hours. When you multiply 180 by .4 you get 72, and when you multiply 180 by .65 you get 117. The difference is 45.
Sorry that I didn't show my work, I don't really know how to do this other than plugging in random numbers and 180 fits so...
Hope this helps!
