Answer:
134.375 or 134 3/8 square feet is the area of the rug
Step-by-step explanation:
In this question, we learnt someone bought rug measuring some lengths per sides were asked to help calculate the area of the rug.
Firstly, we can see that the lengths of the two sides differ? We can thus conclude that the rug is rectangular in shape.
Hence, to calculate the area of this rug, what we do is to calculate the area of the rectangle formed by the rug.
Mathematically, the area of the rug would be = l * b
According to the question, we can identify that l = 10.75 feet(3/4 = 0.75) while the b = 12.5 feet(1/2 = 0.5 feet)
Hence the area of the rug A is thus; 10.75 * 12.5 = 134.375 sq. Feet ( 0.375 = 3/8 so we can say 134 3/8 feet)
Answer:
<em>C. 94</em>
Step-by-step explanation:
Take in account for PEMDAS: Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
First is to find the answer within the innermost parenthesis:
(4²+1).
Find the exponent of 4², which is 16, leaving you the equation of
16+1, which equals to 17.
Next you multiply 3 by 17 (since the parenthesis of 17 borders 3):
17×3=51.
Next, multiply 51 by 2 (same rule as 3×17).
51×2=102.
After this you get 102-2³. Now, find 2³=2×2×2=8
This gets you to 102-8, ending up with your answer of 94.
The answer would be A. m= -3/5 and b=-4/5
"m= -5-1 divided by 7--3
or, -6/10
or, -3/5.
to find the (B)
<span><span>(-3,1). y=mx+b or 1=-3/5 × -3+b, or solving for b: b=1-(-3/5)(-3). b=-4/5.</span><span>(7,-5). y=mx+b or -5=-3/5 × 7+b, or solving for b: b=-5-(-3/5)(7). b=-4/5.</span></span>See! In both cases we got the same value for b. And this completes our problem.
<span><span>The equation of the line that passes through the points(-3,1) and (7,-5)is</span><span>y=-3/5x-4/5"</span>
Source: webmath</span>
