Answer:
-1
Step-by-step explanation:
i= -1^(1/2)
= -1^(1/2 x 34)
= -1^(17)
= -1
Answer:
the correct answer is yes
Answer:
see explanation
Step-by-step explanation:
∠1 and 170° form a straight angle and are supplementary, thus
∠1 = 180° - 170° = 10°
∠1 and ∠3 are vertical angles and congruent , thus
∠3 = 10°
∠2, 15° and ∠3 form a straight angle and sum to 180°, thus
∠2 = 180° - 15° - 10° = 155°
Thus
∠1 = 10°, ∠2 = 155°, ∠3 = 10°
Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)
First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
Hope this helped!
