Answer:
The measurement of the central angle AOB is 45 degrees
Step-by-step explanation:
To solve this problem, we will have to work with fractions.
We will get the fraction of area the shaded portion is when compared to the whole garden.
First of all, we will need to calculate the area of the garden which is 
in this case, our radius is 8 inches.
Next, we will compare the area of the sector to the area of the garden. This will be
This will be the shaded area/ area of the whole garden
= 
We will now convert this ratio to an angle by multiplying it by 360 degrees.
This will be:
The measurement of the central angle AOB is 45 degrees
You just have to figure it where you can place 2 solid lines and get 10 triangles ( i can only get 9). Think about the pentagon in the middle of the triangles and see if somehow you can create more triangles using only the two straight lines.
Answer:
<em>The concentration of the new mixture is 46%</em>
Step-by-step explanation:
The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:
5*2/100=0.1 fl. oz.
The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:
11*66/100=7.26 fl. oz.
The total alcohol in the mixture is
0.1 + 6.6 = 7.36 fl. oz.
The total amount of the mixture is:
5 + 11 = 16 fl.oz.
The concentration of the new mixture is:
7.36 / 16 * 100 = 46%
The concentration of the new mixture is 46%
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
x = the number of weeks she mows the lawn
y = the amount of money in Jana's savings account
y = 25x + 125
[amount of money in savings account(y) = $125 plus $25 per week(x)]
y-intercept = 125
So if x = 0 weeks and y = $125 in the savings account, $125 was already/initially in the savings account before she started earning and depositing $25 per week. Your answer is C
