A scale factor allows a shape to be changes into another shape by changing the linear dimensions to the multiples of the initial dimension and a constant
The expression that finds the change in scale factor for the longer pool with a final length of 33 ft. Sierra is building is the option;
Reason:
Known parameters are;
Dimensions of the pool created = 14 ft. wide × 22 ft. long
Final length of the pool = 33 ft.
Let <em>x</em> represent the length of the drawing using the initial scale factor, we have;
The scale factor of the drawing following a final length of 33 ft. is therefore;
The change in scale factor is given as follows;
Therefore;
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Answer:
25,886.01 in²
Step-by-step explanation:
The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)
Area of a circle = πr²
Radius of larger circle = PO = 93.4 in
Area of the larger circle = 3.14*93.4² = 27,391.98 in²
Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9
Area of smaller circle = 3.14*21.9² = 1,505.97 in²
Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²
Answer:
B.
Step-by-step explanation:
The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3
Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.
Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.
So, the answer that follows these 2 conditions is B.
So to set up the equation we have:
<span><span><span>4M</span><span>4+M</span></span>=<span>127</span></span>
<span>28M=12(4+M)</span>
<span>28M=48+12M</span>
<span>28K−12M=48</span>
<span>(28−12)M=48</span>
<span>16K=48</span>
<span>M=<span>4816</span></span>
<span>M=3</span>
So Marna can clean the chimney alone in 3 hours
