Answer:
48.8???????????????????
Step-by-step explanation:
Answer:
x = 52.2 degrees
Step-by-step explanation:
In this question, we are to
calculate the value of the angle x
Now the first thing to identify is that what we have is a right angled triangle as one of the angles is 90 degrees
This means that we can employ the use of trigonometric identities to calculate whatever we want to calculate.
The question now is which trigonometric identity is the correct one to use
To answer this, we need to be sure of the sides we were given. Looking at the diagram we have one side facing the 90 degrees angle and the other side facing the angle x itself.
The one facing the angle given is the opposite while the one facing the angle 90 is the hypotenuse
So the trigonometric identity to use is the one that links the opposite and the hypotenuse
This is the sine
mathematically;
sine of an angle = length of opposite/length of hypotenuse
In this case
sine x = 6.4/8.1
sine x = 0.7901
Thus;
x = arc sin 0.7901
x = 52.2 degrees
Answer:
is there no question you have?
Answer:
-7.2
Step-by-step explanation:
Answer:
D. 15P15 * 10P5
Step-by-step explanation:
Since you have to place all first-grade students in the first three rows, and nowhere else, we have to make a special calculation for that, then another for the rest of the bus.
These are permutations since the order is important. If we sit John, Paul, Ringo, George and Pete in this order in the first row it's a different way than seating them (in the same order) in the second row for example.
For the 15 first-graders of the first three rows (15 seats), we have 15P15 since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders. That is 10P5.
We then multiply the permutation numbers of those two arrangements to get the total ways:
15P15 * 10P5, answer D.
