Answer: C) 8 cm
Step-by-step explanation:
Given: In △ABC AB=8 cm , m∠A=70° , and m∠B=55° .
The angle sum property of triangle says that the sum of all interior angles in a triangle is equals to 180°.
⇒ m∠A+m∠B+m∠C=180°
⇒70°+55°+m∠C=180°
⇒m∠C=180°-125°
⇒m∠C=55°
Now, in △ABC m∠C= m∠B= 55°
⇒AB=AC [∵ Sides opposite to equal angles of a triangle are equal]
⇒ AC= 8 cm.
Answer:
3 and 5/12
Step-by-step explanation:
![4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}](https://tex.z-dn.net/?f=4%20%5Cfrac%7B3%7D%7B4%7D%20%20%20%3D%20%5Cfrac%7B19%7D%7B4%7D%5C%5C%20%5C%5C1%5Cfrac%7B1%7D%7B3%7D%20%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
![\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D%20-%20%5Cfrac%7B4%7D%7B3%7D%20%5C%5C%5C%5C%5Cfrac%7B19%283%29%20-%204%284%29%7D%7B12%7D%20%5C%5C%5C%5C%5Cfrac%7B57%20-%2016%7D%7B12%7D%20%5C%5C%5C%5C%5Cfrac%7B41%7D%7B12%7D%20%5C%5C)
This fraction is equivalent to,
![3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}](https://tex.z-dn.net/?f=3%20and%205%2F12%20%3D%203%5Cfrac%7B5%7D%7B12%7D%20%3D%20%5Cfrac%7B12%2A3%20%2B%205%7D%7B12%7D%20%3D%20%5Cfrac%7B41%7D%7B12%7D)
<span>the diagonal length divided the court in 2 triangle
will be calculated as a hypotenuse of the triangle as a square root of sum of both sides squared by Pythagorean theorem
</span>84^{2} +50^{2} sqrt= 97.75ft
Answer: The times within which 99.73% workers fall are 252.2 and 573.2 minutes.
Explanation:
It is known that to capture approximately 99.73% of the mass (area) of the normal distribution one has to consider +/- standard deviations from the mean.
The mean is 413 minutes and 1 standard deviation is 26.8 minutes. 6 standard deviations are 160.8 minutes.
Therefore the minimum time is 413-160.8=252.2 minutes and the maximum time is 413+160.2=573.2 minutes.
The times within which 99.73% workers fall are 252.2 and 573.2 minutes.
Answer : x^4
Do you need an explanation?