Answer:
Step-by-step explanation:
<u>Given system:</u>
- 2x - y = - 2
- 15x - 2y = - 7
<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>
- -2(2x - y) + 15x - 2y = - 2(- 2) - 7
- -4x + 2y + 15x - 2y = 4 - 7
- 11x = - 3
- x = - 3/11
<u>Find the value of y:</u>
- 2( - 3/11) - y = - 2
- -6/11 - y = - 2
- y = 2 - 6/11
- y = 1/11
<u>Solution is:</u>
- <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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Answer:
there are 36 cats in one house the ratio is 1:2
Step-by-step explanation:
Answer: $17,600
Step-by-step explanation:
find the value of 9% of 32,000 (Divide). Multiply that by 100. multiply by 5. Subtract the product by 32,000