Although there i no triangle given as the question requires, I am still going to answer because I understand it.
ABC is a right angled triangle. The triangle is 90° at C.
The trigonometric ratio sine is given by, sine = opposite/hypotenuse .
Cosine = adjacent/hypotenuse
So therefore, Sin A = 24/30
= 4/5
Cos A = 18/30
= 3/5
= 1/2 (a + b) h let me know if this helps :)
The answer would be 280 because 28x10 is 280
So, the first thing you should do is break it down. First how much space can she have, and how many hotdogs and hamburgers would she have know the amount of space. Then you would find the amount of money she would make if she sold the food, and how much she would spend for inventory. Hope this helps!
2. 3x - 5y = -2
x + 3y = 4
Let us multiply equation 2 by three, so we can use the elimination method.
3x + 9y = 12
Now, let us subtract equation 1 from equation 2.
3x + 9y - 3x + 5y = 12 + 2
14y = 14
y = 1
Let us substitute this value of y in equation 2.
x + 3(1) = 4
x = 4 - 3
x = 1
3. -3x + 3y = -6
6x + 4y = 42
Let us multiply equation 1 by 2, so we can use the elimination method.
-6x + 6y = -12
Let us now add equations 1 and 2, so as to eliminate x.
6x + 4y -6x + 6y = 42 - 12
10y = 30
y = 3
Let us now substitute this value of y in equation 1, so as to find x.
-3x + 3(3) = -6
-3x + 9 = -6
-3x = -15
3x = 15
x = 5
4. 12x + 4y = 20
2x - 2y = -2
Let us multiply equation 2 by 2, so as to use the elimination method.
4x - 4y = -4
Let us now add equations 1 and 2, so as to eliminate y.
4x - 4y + 12x + 4y = -2 + 20
16x = 18
x =
=
= 1.125
Let us substitute this value of x in equation 2, so as to find y.
2(9/8) -2y = -2
9/4 - 2y = -2
-2y = -2 - 9/4
2y = 17/4
y =
= 2.125