Answer:
Part 1 : 
Part 2 :
w=6
l = 10
Step-by-step explanation:
Part 1:
Let the width of the rectangle = w
Length of the rectangle = w + 4
Area of the rectangle is given as
60 Sq Yrds
Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.
Part 2:
(w+10)(w-6)= 0
either (w+10) = 0
or
(w-6)=0
or both are zero
(w+10) = 0 ⇒ w = -10
not possible as the dimension can not be 0
(w-6)=0 ⇒ w=6
Hence the width is 6 yards
And thus the length will be 6+4 = 10 yards
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
The equation of the line in point slope form is equal to
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
we have
(-2,-2) and (2,2)
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute the values in the formula
Answer:
Step-by-step explanation:
(x-5)2+8 = 92
2x-10+8 = 92
2x = 94
x = 47
Answer:
Step-by-step explanation:
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