M=12.2
(7^2)+(10^2)=149
the square root of 149 is 12.2
Answer:
M= 15 degrees N= 15 degrees
Step-by-step explanation:
Right triangles are always 90 degrees so 90-60=30
since theres 2 sides you have to split 30 in 2 so 30 divided by 2 equals 15
The perimeter is the total length of all sides of the shape.
It is 1 meter + 1 meter + 2 meter + 2 meter = 6 meters
1 meter = 100 centimeter
6(100) = 600 centimeter
Hope this helps! :)
Answer: <u>4 pounds</u> of brand X sugar
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Reason:
n = number of pounds of brand X sugar
5n = cost of buying those n pounds, at $5 per pound
Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.
5n+16 = total cost of brand X and brand Y combined
n+8 = total amount of sugar bought, in pounds
3(n+8) = total cost because we buy n+8 pounds at $3 per pound
The 5n+16 and 3(n+8) represent the same total cost.
Set them equal to each other. Solve for n.
5n+16 = 3(n+8)
5n+16 = 3n+24
5n-3n = 24-16
2n = 8
n = 8/2
n = 4 pounds of brand X sugar are needed
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Check:
n = 4
5n = 5*4 = 20 dollars spent on brand X alone
16 dollars spent on brand Y mentioned earlier
20+16 = 36 dollars spent total
n+8 = 4+8 = 12 pounds of both types of sugar brands combined
3*12 = 36 dollars spent on both types of sugar brands
The answer is confirmed.
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Another way to verify:
5n+16 = 3(n+8)
5*4+16 = 3(4+8)
20+16 = 3(12)
36 = 36
Answer:
Option B.
Step-by-step explanation:
When we have an angle A, in degrees, the coterminal angles are all the angles that can be written as:
B = A + n*360°
Where n is a positive or a negative integer (if n = 0, then B = A, which means that A is coterminal with itself, which is trivial).
Now we want to find two coterminal angles to 117°, such that one is positive and the other negative.
Then we can do:
for the positive one, use n = 1.
B = 117° + 1*360° = 477°
For the negative one, use n = -1
B = 117° - 1*360° = -243°
Then the two angles are 477° and -243°
The correct option is B.
