Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
sin45° = =
Multiply both sides by y
y × sin45° = 9, that is
y × = 9
Multiply both sides by
y = 9
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
Answer:
last option
Step-by-step explanation:
Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
The equation is
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be
=
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
The slope is =
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes:
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.