Answer:
Step-by-step explanation:
A right angled triangle is given to us and we would like to find out the value of sin(A) .
From the triangle we can see that the measure of angle BAC is 30° . Therefore ,
On using sin both sides ,
As we know that the value of sin30° = 1/2. So;
Simplify by converting it into decimal ,
<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>
And we are done!
Answer:
y = 4
x = -1
Step-by-step explanation:
4x + 2y = 4 Eq. 1
3x - y = -7 Eq. 2
from the Eq. 2
3x = y - 7
3x + 7 = y Eq. 3
Replacing the value of the Eq. 3 in the Eq. 1
4x + 2(3x+7) = 4
4x + (2*3x + 2*7) = 4
4x + (6x + 14) = 4
10x + 14 = 4
10x = 4 - 14
10x = - 10
x = -10/10
x = -1
from the Eq. 3
3x + 7 = y
3*-1 + 7 = y
-3 + 7 = y
4 = y
Check:
from the Eq. 1
4x + 2y = 4
4*-1 + 2*4 = 4
-4 + 8 = 4
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.
