Answer:
Is a scalene right triangle
Step-by-step explanation:
Classify the triangle
By the interior angles
Applying the Pythagoras Theorem
![c^{2}=a^{2} +b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3Da%5E%7B2%7D%20%2Bb%5E%7B2%7D)
substitute the values
![5^{2}=3^{2} +4^{2}](https://tex.z-dn.net/?f=5%5E%7B2%7D%3D3%5E%7B2%7D%20%2B4%5E%7B2%7D)
------> is true
therefore
Is a right triangle
By the length sides
The triangle has three unequal sides
therefore
Is a scalene triangle
Answer:
Step-by-step explanation:
Given
There are 10 men and 5 women in a conference room
total People=15
(a)Probability that the committee consists of 2 men and 2 women
we have to select from 10 men and 5 women
![P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E5C_2%5Ctimes%20%5E%7B10%7DC_2%7D%7B%5E%7B15%7DC_4%7D)
(b)Bob and Jane end up on the same committee
as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person
![P=\frac{^{13}C_2}{^{15}C_4}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E%7B13%7DC_2%7D%7B%5E%7B15%7DC_4%7D)
(c)Bob is in the committee but Jane is not
9 men and 4 women left to choose other 3 person
![P=\frac{^{13}C_3}{^{15C_4}}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E%7B13%7DC_3%7D%7B%5E%7B15C_4%7D%7D)
Answer:
A
Step-by-step explanation:
The width (W) of the prism is 16 cm.
The length (L) of the prism is 16 cm.
The height (H) of the prism is 10 cm.
The formula for the surface area of any right prism with width W, length L, and height H is the following:
A = 2 (WL + LH + WH)
Substituting using our given values changes the equation to:
A = 2 (16*16 + 16*10 + 16*10)
= 2 (256 + 160 + 160) = 2 (576)
= 1152
Thus, the surface area is 1152 cm².
Let me know if you need any clarifications, thanks!
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