The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get 
. Similarly, we get the improper fraction 
for converting the mixed fraction 
.
Step 2; After conversion, it's just a matter of division. The fraction equals 4.25 while the denominator equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
See the attached figure to better understand the problem
we know that
<span>The inscribed angle in a circle measures half of the arc it comprises.
</span>in this problem
the inscribed angle= ∠ACB
and the arc it comprises measures 180°
then
the ∠ACB=180°/2-------> ∠ACB=90°
<span>applying the Pythagorean theorem
</span>AC²+CB²=AB²-------> AB²=24²+7²-------> AB²=625------> AB=25 cm
the diameter of circle is AB
radius=25/2--------> r=12.5 cm
[the area of a half circle]=pi*r²/2------> pi*12.5²/2--------> 245.44 cm²
[area of triangle ABC]=AC*CB/2--------> 24*7/2-------> 84 cm²
[the area of the shaded region]=[the area of a half circle]-[area of triangle ABC]
[the area of the shaded region]=245.44-84-------> 161.44 cm²
the answer is
the area of the shaded region is 161.44 cm²
Answer:
y= (C - Az)/B
Step-by-step explanation:
Az +By = C
Az - Az + By = C - Az
By = C - Az
Divide both side by the coefficient of y which is B
therefore we have:
y = (C - Az)/B
Take the cost and divide it by the pounds
35.99÷15.6 pounds = 2.307051282
= $2.31 per pound (approximately)
Answer:
5x + 3y = -21
Step-by-step explanation:
i think sorry if its wrong
