Answer:
B
Step-by-step explanation:
According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal
Answer:
The height of the rectangular prism
= 1 1/3 inches
Step-by-step explanation:
The volume of a rectangular prism = Length × Width × Height
From the question:
Length of 5/6 inch
Width of 3 /5 inch.
The volume of the prism is 2 /3 cubic inch.
Find the height of the prism.
Hence:
2/3 = 5/6 × 3/5 × Height
2/3 = 1/2 × Height
Divide both sides by 1/2
Height = 2/3 ÷ 1/2
Height = 2/3 × 2
Height = 4/3 inches = 1 1/3 inches
Therefore, the height of the rectangular prism = 1 1/3 inches
Answer:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}Range: (−∞,∞),{y|y∈R}
Step-by-step explanation:
Answer: The required result is 15.
Step-by-step explanation: We are given to evaluate the following :
"6 choose 4".
Since we are to choose 4 from 6, so we have to use the combination of 6 different things chosen 4 at a time.
We know that
the formula for the combination of n different things chosen r at a time is given by
![^nC_r=\dfrac{n!}{r!(n-r)!}.](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D.)
For the given situation, n = 6 and r = 4.
Therefore, we get
![^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6!}{4!2!}=\dfrac{6\times5\times4!}{4!\times2\times1}=15.](https://tex.z-dn.net/?f=%5E6C_4%3D%5Cdfrac%7B6%21%7D%7B4%21%286-4%29%21%7D%3D%5Cdfrac%7B6%21%7D%7B4%212%21%7D%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes2%5Ctimes1%7D%3D15.)
Thus, the required result is 15.