<span>D. 20 + 2âš10 units
To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values.
So the length of side AB is
sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10.
The length of side BC is
sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10.
And finally, the length of side AC is
sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40)
= 2 * sqrt(10)
Finally, add all the lengths together.
10 + 10 + 2âš10 = 20 + 2âš10</span>
Answer:
A = 180 customers.
Step-by-step explanation:
Let the number of customers that made additional purchases be A.
Given the following data;
Percentage = 72% = 72/100 = 0.72
Total number of customers = 250
To find the number of customers that made additional purchases;
A = 0.72 * 250
A = 180 customers.
Therefore, 180 customers made additional purchases on Wednesday.
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
Well, if you are talking how much she can swim per minute, you have to divide 1700 by 40 to get the unit per minute, 1700 being the meters she can swim, and 40 are the minutes she takes to swim. So, 1700 divided by 40 would be 42.5 meters per minute. So Angela's unit is 42.5 meters per minute. YOU'RE WELCOME :D
Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is . Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:
Therefore,
or just
and in terms of time,
Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt