The line CD is the median of thre trapezoid, therefore its measures is shown below:
You must sum the largest base and the shortest base and divide both of them by 2, as following:
CD=(4.5+2.5)/2
CD=7/2
CD=3.5
Therefore, as you can see, the measure of the line CD is 3.5
The answer is: 3.5
Answer:
A is (10,0)
B is (3, 3).
Step-by-step explanation:
First we calculate the coordinates of the point A.
Here, y = 0 so we have:
7(0) - 3x + 30 = 0
-3x + 30 = 0
x = -30/-3 = 10.
So A has coordinates (10,0).
Next we find the coordinates of the points where the line passes through the y axis. Here x = 0:
7x - 3(0) = 30
x = 30/7.
So the point is (0, 30/7).
Let the point B have coordinates (x1, y1)
Now x1 = y1 (given).
If we draw a line from B perpendicular to the x axis ( its length will be = y1) then we have 2 similar triangles.
So as corresponding sides are in the same ratio:
y1/ (30/7) = (10-x1) / 10
But as x1 = y1:
x1/ (30/7) = (10-x1) / 10
7 x1 / 30 = (10-x1) / 10
70 x1 = 30(10 - x1)
70x1 = 300 - 30 x1
100 x1 = 300
x1 = 3
So the coordinates of B are (3,3)
Checking the solution to the equation:
LHS = 3 / 30/7 = 3*7 / 30 = 21/30 = 7/10.
RHS = (10 -3 ) / 10 = 7/10.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
<em>3/4 squared is 9/16.</em>
500 * 9/16
<em>Multiply 500 by 9 to get 4500.</em>
4500/16
<em>Simplify 4500/16 to 1125/4 (4 is canceled out.)</em>
1125/4
<em>Divide 1125 by 4 to get 281.25</em>
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Answer:
Tom: 132 Bob: 396 Keisha: 139
Step-by-step explanation:
132 x 3
132 + 7