Answer:
24 ft
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
7^2 - 25^2 = -b^2
49 - 625 = -b^2
-576 = -b^2
24 = b
Answer:
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Step-by-step explanation:
Given that
f(x)=x3−7x2+2x+4
To solve for x we factorise the right side
f(x)=x3−7x2+2x+4
Let us substitute x for various values to check whether remainder is zero.
i.e. f(1) = 1-7+2+4 =0
Hence x-1 is a factor
Do synthetic division to find the quotient
1 1 -7 2 4
1 -6 -4
----------------------
1 -6 -4 0
i.e. we get remainder 0 and quotient as
x^2-6x-4
Use completion of squares method to solve this
x^2-6x-4
= (x-3)^2+5=0
x-3= ±√(-5)
Or x=1,3+√(-5,) 3-√(-5,)
Are the roots
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Answer:
and 
Step-by-step explanation:
For this exercise it is important to remember that Whole numbers Set contains the positive numbers and zero with no fractional part and with no decimal part.
Rational numbers are those numbers that can be written as a fraction, in this form:

Where "a" is the numerator and "b" is the denominator. Both are integers.
Then, given the following fraction:

You can express it as a decimal number by dividing the numerator 31 by the denominator 5:

Based on the definition of Whole numbers, you can identify that:

So the given fraction lies between the following Whole numbers:
and 
Answer:
The answer to your question is 13 u²
Step-by-step explanation:
We know that the small triangle is surrounded by right triangles so we can use the Pythagorean theorem to find the lengths of the small triangle
AD² = 3² + 2²
Simplify
AD² = 9 + 4
AD² = 13
AD = 
Find the area of the square
Area = side x side
Area = AD x AD
Area = 
Area = 13 u²
120/(2-4)^2+2*3=36
You have to use bedmas or the order of operations