Answer: The river is 148.3 feet wide.
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The triangle formed is a right triangle.
Using SOH CAH TOA
Multiplying 100 in both sides
Rounding to the one decimal place
Hence river is 148.3 feet wide. .............. Answer
Hope it will help :)
Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or
We have been given the expression
We can rewrite the expression as
In order to simplify the given expression, we can check if we have any common terms in the numerator and denominator.
We can write the term 72 which is in the numerator as
Thus, the expression becomes
We can see that 4 is common in both numerator and denominator. Hence, we can cancel 4. Thus, we are left with
Therefore, we can rewrite the given expression as 54.