Answer:
![\frac{\sqrt{10}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B2%7D)
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that
, where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of
, we have:
![x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}](https://tex.z-dn.net/?f=x%5E2%2Bx%5E2%3D%5Csqrt%7B5%7D%5E2%2C%5C%5C2x%5E2%3D5%2C%5C%5Cx%5E2%3D%5Cfrac%7B5%7D%7B2%7D%2C%5C%5Cx%3D%5Csqrt%7B%5Cfrac%7B5%7D%7B2%7D%7D%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7B%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B2%7D%7D%5Ccdot%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cboxed%7B%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B2%7D%7D)
Are you talking about area ?
Answer:
163 lbs
Step-by-step explanation:
Since she weighs 177 lbs after birth, and they want to know how much she will weigh in 3.5 months with 4 lbs lost every month, here is the math:
4x3.5=14 lbs total
177 - 14lbs is 163
She of a quadrilateral is a shape with four sides and a square has four sides
The probability would be 1 in 8, or 12.5%