Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
Just convert all your measurements. 1gallon is 4 quarts. So 9 gallons= 36qt and 6 gallons= 24qt so the question becomes 36qt+1qt+24qt+1qt=62qt or 15.5 gallons.
Answer:
39.82
Step-by-step explanation:
to find the entire area of the figure, you'll have to split it up into two parts:
a. triangle
b. semi-circle
therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.
to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: π
. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82
finally, add your two areas (30+9.82), which equals 39.82
hope this helps!<3