Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
Answer:
33
Step-by-step explanation:
ik its ritgh
Answer:
Average speed = 9.91 m/s
Explanation :
Total distance covered by a runner = 200 m
Time taken to complete this distance = 20.19 sec
We need to find the average of runner speed in meter/sec
We use the speed, distance, time formula

speed = 
Average speed = 9.91 m/s
that's the final answer.
I hope it will help you.
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
Answer:
e. 0.0072
Step-by-step explanation:
We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .
Let Z =
~ N(0,1) where, Xbar = mean contents of six randomly
selected bottles
n = sample size i.e. 6
So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)
P(Xbar < 295) = P(
<
) = P(Z < -2.45) = P(Z > 2.45)
Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .
Therefore, option e is correct .