Answer:
5,940 1/8 inches
Step-by-step explanation:
5,940 1/8 inches
Answer:
volume = 3.24× 10 ∧12, SA = 5.09 × 10 ∧8
Step-by-step explanation:
Check attachment
Answer:
The dimensions are (7m-3) by (7m-3)
Step-by-step explanation:
We have the area of the rectangular field to be:
![49 {m}^{2} - 42m + 9](https://tex.z-dn.net/?f=49%20%7Bm%7D%5E%7B2%7D%20%20-%2042m%20%2B%209)
We need to factorize this expression.
Let us rewrite to obtain:
![{(7m)}^{2} - 2(7 \times 3)m + {3}^{2}](https://tex.z-dn.net/?f=%20%7B%287m%29%7D%5E%7B2%7D%20%20-%202%287%20%5Ctimes%203%29m%20%2B%20%20%7B3%7D%5E%7B2%7D%20)
We can easily see that the expression is actually a perfect square trinomial.
This gives us:
![(7m - 3)^{2}](https://tex.z-dn.net/?f=%287m%20-%203%29%5E%7B2%7D%20)
Or
![(7m - 3)(7m - 3)](https://tex.z-dn.net/?f=%287m%20-%203%29%287m%20-%203%29)
Answer:
b. complementary
Step-by-step explanation:
-Complementary angles are angles that add up to 90°.
-These are usually the two acute angles in the right triangle.
#To verify, lets take the two angles 30° and 60°:
![Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5](https://tex.z-dn.net/?f=Cos%20%5C%2060%5Ctextdegree%3D0.5%5C%5C%5C%5CSin%20%5C%2030%5Ctextdegree%3D0.5%5C%5C%5C%5C%5Ctherefore%20Sin%20%5C%2030%5Ctextdegree%3DCos%20%5C%2060%20%5Ctextdegree%3D0.5)
#We can reverse as:
![Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603](https://tex.z-dn.net/?f=Sin%20%5C%2060%5Ctextdegree%3D0.86603%5C%5C%5C%5CCos%20%5C%2030%5Ctextdegree%3D0.86603%5C%5C%5C%5C%5Ctherefore%20Sin%20%5C%2060%5Ctextdegree%3DCos%20%5C%2030%5Ctextdegree%3D0.86603)
Hence, two angles are said to be complimentary if they sum up to 90°.
7x-5=5x+23
7x-5x=23+5
2x=28
x=28/2
x=14