Answer:
134.5 degree
Step-by-step explanation:
first find the remaining side of a triangle
BY using cosine rule
C^2=A^2+B^2-2ABcosx
apply square root both sides
√c^2 =√[4^2+10^2-2(4)(10)cos29]
C=√(116-69.96958)
C=√46.03
C=6.8
Now find angle using cosine rule
C^2=A^2+B^2-2ABcosx
10^2=4^2+6.78^2-2(4)(6.78)cosx
100=16+45.9684-54.24cosx
100=61.9684-54.24cosx
100-61.9684=-54.24cosx
(38.0316)/-54.24=(-54.4cosx)/-54.24
-0.70117=cosx
X= cos inverse of -0.70117
x=134.5 degree
Answer:
Step-by-step explanation:
x = 2, y = 1
x = 1, y = 3
x = 0, y = 5
x = -1, y = 7
x = -2, y = 9
<em>Hope that helps!</em>
<em>-Sabrina</em>
Answer:
The probability that the red card came from the first stack is:
40%
Step-by-step explanation:
a) Data and Calculations:
Stack Red Blue Total
First 6 5 11
Second 9 0 9
Total 15 5 20
The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.
The probability of red card from the first stack = 6/15 = 0.4 = 40%.
b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks. This is equal to 6/15 = 0.4 or 40%.
Answer:
Step-by-step explanation:
F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT
O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT
I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT
L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT
I am joyous to assist you anytime.
Answer:
12
Step-by-step explanation:
5(x-6)=2(x+3)
multiply
5*x and 5*6. 2*x and 2*3
5x-30=2x+6
minus 5x and 2x
3x-30=6
add 30 to 6
3x=36
divide both sides by 3 and the 3x cancels so 36÷3
x=12
