Step-by-step explanation:
if the two integers are x and y
xy=-10
x+y=-9
x+(-10/x)=-9
x2+9x-10=0
(x-1)(x+10)=0
x=1 or x=-10
if x=1, y=-10
if x=-10, y=1
so the two integers are 1 and -10
3.25 x 25% = .81
3.25- .81 = $2.44
$2.44 is the sale price
So you have 3/4x2/3 because it's 2/3 of the bag left, so you find the least common denominator (bottom number of fraction), which in this case is 12, so you find how you get to 12 for each of the bottom numbers, so x3 on the first one, and x4 on the other one. then you multiply the top numbers by what you multiply the bottom ones by, so it would be 9/12x8/12 you then multiply both numbers so 72/144 and then you simplify that to 1/2 so it's 1/2lb.
Answer: 750 Joules.
Step-by-step explanation:
Use the equation: K = 1/2 x m x s^2
1/2 x 60 = 30.
30 x (5 x 5) 25 = 750
Lance's kinetic energy when he runs at this speed is 750 Joules.
<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees.
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let a = one of the congruent angles.
you have:
angles 1, 2, and 3 = a.
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if a = 2 * angle 4, then angle 4 = 1/2 * a
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if a = 1/2 * angle 5, then angle 5 = 2 * a
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we have:
angle 1 = a
angle 2 = a
angle 3 = a
angle 4 = 1/2 * a
angle 5 = 2 * a
angle 6 = 115
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since the sum of the angles is equal to 720, we have:
3*a + 2*a + 1/2*a + 115 = 720
combine like terms to get:
5.5 * a + 115 = 720
subtract 115 from both sides to get:
5.5 * a = 720 - 115 = 605
divide both sides by 5.5 to get:
a = 720/5.5 = 110
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angle 1, 2, and 3 are each 110 degrees.
angle 4 = 55 degrees
angle 5 = 220 degrees
angle 6 = 115 degrees
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the question is:
What is the measure of the smallest angle?
the answer is:
55 degrees.</span>
