62???? I guesss????? I am not completely sure
Answer:
Retangle
Step-by-step explanation:
So obv
Answer:
h = 7.5 foot
Step-by-step explanation:
Given that,
John has a 10 foot ladder leaning against a wall at an angle of elevation of 53.13 degrees.
We need to find the height where the ladder meet with the wall.
Let Perpendicular = 10 foot
Angle of elevation, ![\theta=53.13 ^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D53.13%20%5E%7B%5Ccirc%7D)
Let h be the height (Hypotenuse). Using trigonometry,
![\tan\theta=\dfrac{P}{h}\\\\h=\dfrac{P}{\tan\theta}\\\\h=\dfrac{10}{\tan(53.13)}\\\\h=7.5\ foot](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7BP%7D%7Bh%7D%5C%5C%5C%5Ch%3D%5Cdfrac%7BP%7D%7B%5Ctan%5Ctheta%7D%5C%5C%5C%5Ch%3D%5Cdfrac%7B10%7D%7B%5Ctan%2853.13%29%7D%5C%5C%5C%5Ch%3D7.5%5C%20foot)
So, the ladder will meet the wall at a height of 7.5 foot.
Answer:
if x=x or x≠x
Step-by-step explanation:
2x + 3 = x + x + 3 has infinite solutions, if we solve it, 2x+3=2x+3. this is true meaning we can substitute x for ANY number, and it will still be the same, for example if x=5, then 2(5)+3=5+5+3 13=13 so its infinite solutions. Basically, the sades have to equal each other. No solution would be like 2+n=n+1+7 so then we would solve it and it would be 2=8, we know this is not true so there is no solution. They are not equal to <u>eachother</u>
Answer:
Step-by-step explanation:
Given that Student scores on exams given by a certain instruc-tor have mean 74 and standard deviation 14.
Group I X Group II Y
Sample mean 74 74
n 25 64
Std error (14/sqrtn) 2.8 1.75
a) P(X>80) =![1-0.9839\\= 0.0161](https://tex.z-dn.net/?f=1-0.9839%5C%5C%3D%200.0161)
b) P(Y>80) = ![1-0.9997\\=0.0003](https://tex.z-dn.net/?f=1-0.9997%5C%5C%3D0.0003)
c) X-Y is Normal with mean = 0 and std deviation = ![\sqrt{2.8^2+1.75^2} \\=3.302](https://tex.z-dn.net/?f=%5Csqrt%7B2.8%5E2%2B1.75%5E2%7D%20%5C%5C%3D3.302)
P(X-Y>2.2) = ![1-0.8411\\=0.1589](https://tex.z-dn.net/?f=1-0.8411%5C%5C%3D0.1589)
d) ![P(\bar x -\bar Y>2.2) = 0.1589](https://tex.z-dn.net/?f=P%28%5Cbar%20x%20-%5Cbar%20Y%3E2.2%29%20%3D%200.1589)