A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.
B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20
Add equations
x=5
Plug x in
5+y=20
y=15
Final answer: 5 cheese wafers, 15 chocolate wafers
Answer:
9π ft² or approximately 28.26 ft²
Step-by-step explanation:
The area of a circle is A=πr².
Plug 3 in for the radius.
A=π(3²)
A=9π ft²,
or using 3.14 for pi,
Approximately 28.26 ft².
Answer:
There would be 19 ballons left
Step-by-step explanation:
Answer:
Fourth choice, 1/6
Step-by-step explanation:
15 + 8 + 10 + 12 + 15 = 60
Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6
Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
