Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
Answer:
D
Step-by-step explanation:
Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.
Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.
step 1
Find the slope of the given line
we have
y=(2/3)x+4
the slope is m=2/3
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
the slope of the perpendicular line to the given line is
m=-3/2
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-3/2
point (-2,5)
substitute
5=(-3/2)(-2)+b
solve for b
5=3+b
b=2
therefore
<h2>y=-(3/2)x+2</h2>
