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NeTakaya
2 years ago
14

If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0
It takes 8 hours to clean 12 houses so that’s 8/12 to find how many hours it take to clean one house, 8/12 is equal 2/3 . So it takes 2/3 of an hour to clean one house. 2/3 times 12 equals 8. So you want to find how many houses you can clean in 12 hours. The equation is 12= 2/3x , x=18. The answer is 18 houses. Check the work cus I sure didn’t lol, hope this helps
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3 0
2 years ago
One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?
Damm [24]
An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.
40^\circ + 40^\circ +x = 180^\circ \\
80^\circ + x=180^\circ \\
x=180^\circ - 80^\circ \\
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5 0
3 years ago
Read 2 more answers
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8 0
2 years ago
Identify the exact value of 157.5°
steposvetlana [31]
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
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3 years ago
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