Use the pythagorean theorem to solve this: a^2 + b^2 = c^2.
You already have a and b which are 3 and 4. Square them up and you will get 9 + 16 = c^2.
Add.
25 = c^2
Lastly, square root both sides.
5 = c
The length of AB is 5.
Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Let's try getting rid of the numbers to isolate the x.
Add x on both sides to get rid of the x on the right side and to get 2x on the left side. This leaves us with 15.3 + 2x = 1.3
Subtract 15.3 on both sides to get rid of the 15.3 on the left side.
This would leave us with 2x = -14
Divide 2 on both sides to isolate the x.
The answer is x = -7
Use the following formula valid fo every polyhedron.
v-e+f=2
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>
v= number of vertices
e=number of edges
f=number of faces
<span>You get v=13
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1). $2,700 is (2,700/6,000) = 45% of 6,000.
It took 6 years to earn it, so it earned (45%/6) = 7.5% each year.
That's the simple-interest rate.
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2). The investment earns 4.5% each year, so it earned 9% in 2 years.
The $1,150.65 is the 9% of the original investment. Call it V.
1150.65 = 0.09 x V .
Divide each side by 0.09 :
V = 1150.65 / 0.09 = $12,785 .
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3). There are 18 marbles in the bag all together.
a). 8 of them are green. If you close your eyes and pull out 1 marble,
the probability that it's a green one is
8/18 = 4/9 = 44.4% .
b). If it was a red marble, and you put it in your pocket, then
there are only 17 in the bag now, and 8 of them are still green.
If you pull another one, the probability that it's green is
8/17 = 47.1% .
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5). There are 10 marbles in the bag all together.
(The second sentence doesn't say anything, and doesn't mean anything.)
If you pull out a silver marble and put it in your pocket, then
there are 9 marbles in the bag, and 2 of them are orange.
The probability of pulling an orange marble now is
2/9 = 22.2% .
