The answer to the first one is 15.6 and the second one is 1.76
The point P(-4, -5) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P′?
1 answer:
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Answers:
P(A) = 7/12
P(B) = 1/2
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Explanation:
To see how I calculated P(A), check out this link to this very similar question
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Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
- 1 copy of "2"
- 3 copies of "4"
- 5 copies of "6"
- 5 copies of "8"
- 3 copies of "10"
- 1 copy of 12
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
Answer:
37.5
Step-by-step explanation:
First you have to realize that these are similar triangles.
You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.
put the smaller above the decimal and the bigger one below like this.
=
Now cross multiply
8x=300
x=37.5