Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
person’s age. Doctors recommend exercising 3 or 4 times each week for at least 20 minutes
with your heart rate increased from its resting heart rate (RHR) to its training heart rate
(THR), where THR = RHR + .65(MHR – RHR)
Which of the following is closest to the THR of a 43-year-old person whose RHR is 54 beats
per minute?
A. 197
B. 169
C. 162
D. 134
E. 80
Answer:
40 meter
Step-by-step explanation:
A.14.00
B.14.75
C.13.50
D.15.75
The answer is given by the second choice: letter B. 14.75 is the answer because to get the mean, you should add all the numbers and then divide it by how many numbers there are. For example, in this case, you add 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 to each other. You will get the answer 172. After that, you should divide 172 by 12 because there are 12 numbers in the data set.
Answer:
0.00597
Step-by-step explanation:
Given,
Total number of cards = 52,
In which flush cards = 20,
Also, the number of spade flush cards = 5,
Since,
Thus, the probability of a hand containing a spade flush, if each player has 5 cards
= 0.00597
-√127