A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===
The figure consists of a triangle and two rectangles.
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Top Triangle:
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Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
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Middle Rectangle:
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Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
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Bottom Rectangle:
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Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
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Total Area:
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Area = 25 + 70 + 200 = 295 cm²
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Answer: Area = 295 cm²
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Answer:
r=5
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*(4*r-8)-(-36)=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
4r - 8 = 4 • (r - 2)
Equation at the end of step 2 :
(0 - 12 • (r - 2)) - -36 = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
60 - 12r = -12 • (r - 5)
Equation at the end of step 4 :
-12 • (r - 5) = 0
Step 5 :
Equations which are never true :
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : r-5 = 0
Add 5 to both sides of the equation :
r = 5
One solution was found :
r = 5
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Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
Answer:
23
Step-by-step explanation:
