Answer:
√65 ft = 8.1 ft
Step-by-step explanation:
We solve using Pythagoras Theorem
c² = a² + b²
c = √a² + b²
Where c = Length of the Hypotenuse
a = 4ft , b = 7ft
Hence
c = √4² + 7²
c = √16 + 49
c = √(65)
c = 8.0622577483 ft
Approximately = 8.1 ft
Therefore, the length of the hypotenuse is √65 ft = 8.1 ft
Answer:
.
Step-by-step explanation:
Graph :
Choose any two points. (0 , 2) and (-1 , -2)
Rate of change = Change in y ÷ Change in x
Table:
Rate of change = ![\frac{-2-[-6]}{2-0}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-%5B-6%5D%7D%7B2-0%7D)
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
Answer:
9 a (5 x^2 + 3 x + 2)
Step-by-step explanation:
Simplify the following:
45 a x^2 + 27 a x + 18 a
Factor 9 a out of 45 a x^2 + 27 a x + 18 a:
Answer: 9 a (5 x^2 + 3 x + 2)
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
