Answer:
Option D) 64
Step-by-step explanation:
see the attached figure with letters to better understand the problem
<em>In the right triangle BCD find BC</em>
Applying the Pythagoras Theorem
<em>In the right triangle ABC</em>
substitute the values
-------> equation A
<em>In the right triangle BDC</em>
substitute the values
-------> equation B
equate equation A and equation B
Answer:
same here, i answer so many questions and no one ever gives me brainiest
Step-by-step explanation:
Answer: If every quadrilateral has at least two congruent sides, then an obtuse angle is an quadrilateral.
Step-by-step explanation:
A counterexample is basically the opposite of a conditional statement. So the Hypothesis is true but the conclusion is false. An obtuse triangle has different size sides and congruent sides means same size sides. Hope this helps!!!! Let me know if you need further explanation.
let's recall that on the II Quadrant x/cosine is negative whilst y/sine is positive,
also let's recall that the hypotenuse is simply the radius distance and thus is never negative.
![\bf cot(\theta )=\cfrac{\stackrel{adjacent}{-2}}{\stackrel{opposite}{1}}\impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-2)^2+1^2}\implies c=\sqrt{5} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{5}}}{\stackrel{opposite}{1}}\implies csc(\theta )=\sqrt{5}](https://tex.z-dn.net/?f=%5Cbf%20cot%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Badjacent%7D%7B-2%7D%7D%7B%5Cstackrel%7Bopposite%7D%7B1%7D%7D%5Cimpliedby%20%5Ctextit%7Blet%27s%20find%20the%20hypotenuse%7D%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Busing%20the%20pythagorean%20theorem%7D%20%5C%5C%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20c%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D%20%5Cqquad%20%5Cbegin%7Bcases%7D%20c%3Dhypotenuse%5C%5C%20a%3Dadjacent%5C%5C%20b%3Dopposite%5C%5C%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20c%3D%5Csqrt%7B%28-2%29%5E2%2B1%5E2%7D%5Cimplies%20c%3D%5Csqrt%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20csc%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Bhypotenuse%7D%7B%5Csqrt%7B5%7D%7D%7D%7B%5Cstackrel%7Bopposite%7D%7B1%7D%7D%5Cimplies%20csc%28%5Ctheta%20%29%3D%5Csqrt%7B5%7D)
Answer:
1 inch.
Step-b-step explanation:
Sine 30 = BC / 2
1/2 = BC/2
2BC = 2
BC = 1
But BC = AB ( because they are opposite sides of a rectangle).
So AB = 1 inch.
