Answer:
60
Step-by-step explanation:
to find w:
sin(44) = w/30
w = 30sin(44)
w = 20.8 to 1 decimal place
to find x;
cos(x) = 20.8/45
x = 
(20.8/45)
x = 62.46940334
x = 60
Answer:
13 players
Step-by-step explanation:
Money Raised=RentedBus+Meals
1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)
Subtract 776.50 from both sides: 542.75=41.75x
Divide both sides by 41.75: 13=x
Remember that x is for the number of players so there'll be 13 players going to the tournament.
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
The value of x would be 
or 
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y
Now, resultant mixture is z ton,
i.e. 
From equation (1),
5x + 5x +3x (like terms)
13x-60=180
180+60=240
240/13=18.4615
X=18.4615
I hope this is correct.
(There are so many different ways to do math problems like this) I hope I could help... sorry if I didn’t.
