We can divide the above figure into two rectangles MNSR and OPQS.
The dimension of rectangle MNSR is 3 x 4 (Since, MR = 3 and MN = 4).
So, area of rectangle MNSR = 3* 4 = 12 square units.
Similarly dimension of rectangle OPQS is 3 x 1 because
PQ = MR - NO = 3 - 2 = 1
SQ = RQ - MN = 7 - 4 = 3.
So, area of OPQS = 3* 1 = 3 square units.
Hence, the area of polygon MNOPQR = Area of rectangle MNSR that is 12 square units + Area of rectangle OPQS that is 3 square units.
= 12 + 3
= 15 square units.
Hope this helps you!
Answer:
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
Step-by-step explanation:
Represent the amount of red paint by r and that of blue point by b.
Olivia must cover 5000 ft^2 with paint, which comes out to 5000/500, or 10, gallons total of red and blue paint. The corresponding inequality is
r + b ≤ 10 (gallons)
She has onlyl $250 to spend. Therefore, the following must hold true:
($20/gal)r + ($30/gal)b ≤ $250
The required sysstem of inequalities is thus
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
Answer:
Quadrant lll
Step-by-step explanation:
Since the cosine of the angle is positive, the sine of the angle must be negative and the terminal side of the angle lies in either Quadrant III or IV.
Answer:
57% of the class failed the test.
Step-by-step explanation:
28 - 12 = 16
16/28 = 0.57142857142 ≈ 0.57
Thus, 57% of the class failed the test.
Answer:
The first question:
x = -1
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Equation at the end of step 1 :
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x-1 = 0
Add 1 to both sides of the equation :
-x = 1
Multiply both sides of the equation by (-1) : x = -1
One solution was found :
x = -1
Processing ends successfully
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