Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
Answer:
let water evaporated be x ml
...
acid 8% ------60 ml
...
final quantity = 10% ----(60-x)
..
60*8 = 10(60-x)
480=600-10x
10x=600-480
10x= 120
/10
x=12 ml should be evaporated.
Step-by-step explanation:
y = mx + b
y = 2x - 5
you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.
it should look like this:
hope this helps !!
Answer:
x=10
Step-by-step explanation:
h(x)=-5(x-4)^2+180
Set y = 0 to find when it hits the ground
0 = -5(x-4)^2+180
Subtract 180 from each side
-180 =-5(x-4)^2+180-180
-180 =-5(x-4)^2
Divide by -5
-180/-5 =-5/-5(x-4)^2
36 = (x-4)^2
Take the square root of each side
±sqrt(36) = sqrt( (x-4)^2)
±6 = (x-4)
Add 4 to each side
4±6 = (x-4)+4
4±6=x
x = 10 or -2
But time cannot be negative so x=10
Answer:
Step-by-step explanation:
We are given the following in the question:
The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.
This will be stated by the null hypothesis.
It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.
This will be stated by the alternate hypothesis.
The parameter for the given hypothesis is standard deviation, 
.
