The answer is B because the domain is the x value, and because the lines have arrows they continue forever, meaning that they contain all real numbers.
<h3>
Answer: 29 miles (approximate)</h3>
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Explanation:
Segment AB is already given to be 19 miles long.
I'm assuming your teacher meant to ask about side BC, which is side 'a' since it's opposite angle A.
Use the law of cosines to find the missing side
a^2 = b^2 + c^2 - 2*b*c*cos(A)
a^2 = 12^2 + 19^2 - 2*12*19*cos(138)
a^2 = 843.874040417691
a = sqrt(843.874040417691)
a = 29.0495101579647
a = 29 when rounding to the nearest whole number
Side BC is roughly 29 miles long.
Cos 105 will also be -0.26
csc 105 = 1.03
Answer:
Donuts(b) = 12*b
Step-by-step explanation:
Notice that the question is:
What's an expression to model the number of donuts in b boxes?
We know that we are talking of boxes of a dozen donuts.
We know that in one dozen, we have 12 donuts.
Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:
Donuts(b) = 12*b
There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:
See what is the thing we want to find (in this case, the number of donuts in b boxes)
Find the relevant information to solve this. (ignore the irrelevant information)
Solve the question.
Answer:
the successful candidate won the election with a 24% margin.
Step-by-step explanation:
With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:
577,500+
348,700=926,200
Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:
577,500/925,200=0.62*100=62%
348,700/926,200=38%
Now, you need to find the difference between both percentages to get the margin:
62%-38%=24%
According to this, the answer is that the successful candidate won the election with a 24% margin.
