Answer:
<1 = 114° and <2 = 66°
Step-by-step explanation:
The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.
Explanation:
Supplementary angles are two angles with a sum of 180 degrees.
Let the smaller angle = x
If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals
x+48
.
The sum of the two angles is 180, so...
x+x+48=180
Add the variableterms
2x+48=180
Subtract 48 from both sides
2x=132
Divide both sides by 2
2x/2=132/2
x=66
This is the measure of the smaller angle.
The bigger angle = x+48=114
Answer:

Step-by-step explanation:
The Weight of Ingredients to be used by Chef Selena are:
pounds of pasta, - 6 pounds of sauce; and
pounds of onions.
Total Weight of Food Made, x

Since each serving is 
Number of Servings of her dish, y

The two equations needed to solve the problem are therefore:

Answer:

The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:

In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that
. So

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that
, and we use this to find k. So






So

Doubling time:
This is t for which P(t) = 2P(0) = 200. So






The doubling time is of 27.65 minutes.
Answer:
The average yearly drop in enrollment is 12.
Step-by-step explanation:
The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:
number of students= 60
number of years= 5
60/5=12
According to this, the answer is that the average yearly drop in enrollment is 12.
Answer:
Hi, there your answer will C. 85pi ft^2
Step-by-step explanation:
pi(5)(12)+pi(5)^2
60pi+25pi
85pi ft^2
Hope this helps :)