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Answers:</h3><h3>x = sqrt(10)</h3><h3>y = sqrt(5)</h3>
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Explanation:
Naturally I start with x as that letter precedes y in the alphabet; however, it's easier to start with y because it is a leg of this triangle. We will then use the value of y to find x later.
For any 45-45-90 triangle, the two legs are the same length. So that's why we're able to quickly see that y = sqrt(5)
To get the hypotenuse, we multiply the leg length by sqrt(2). This trick only works for 45-45-90 triangles.
hypotenuse = leg*sqrt(2)
x = sqrt(5)*sqrt(2)
x = sqrt(5*2)
x = sqrt(10)
The rule I used is sqrt(a)*sqrt(b) = sqrt(a*b)
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An alternate path is to use the pythagorean theorem to find x
a^2+b^2 = c^2
(sqrt(5))^2 + (sqrt(5))^2 = x^2
5 + 5 = x^2
10 = x^2
x^2 = 10
x = sqrt(10)
Answer:
1.5 as a fraction is written as 3/2
Step-by-step explanation:
The ratio 1.5 which is read "1.5 to 1" means that the length is 1.5 times the width. So, for example if your paper is 2 inches in width then the length is 1.5 × 2 = 3 inches.
Answer: The two integers are 8 and 9.
Step-by-step explanation: Let n represent the number.
n^2 + (n + 1)^2 = 145
By foiling, this can be rearranged to:
n^2 + n^2 + 2n + 1 = 145
Subtract 145 from both sides:
2n^2 + 2n - 144 = 0
Divide both sides by 2:
n^2 + n - 72 = 0
Factor the polynomial:
(n + 9)(n - 8) = 0
Solve for n:
n = -9, n = 8
Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.
Now, n = 9 and n = 8.
These are your two integers. Hope this helps!
Answer:
2(219)^1/2.
Step-by-step explanation:
876 = 2*2*3*73
√876 = 2*√219
= 2(219)^1/2.
Find, days Lydia takes to make 86 bracelets
+ number of bracelets she haven’t made: 86-14=72
+ days it take to Finnish: 72/3=24
So, she needs 24 days to make 86 bracelets
