Answer:
4
Step-by-step explanation:
31 quarts, because there are 4 quarts in a gallon
Answer:
B
Step-by-step explanation:
The figure is a trapezium with area (A) calculated as
A =
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 8, a = 10 and b = 6, thus
A =
× 8 × (10 + 6) = 4 × 16 = 64 cm² → B
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
Since this is a right triangle with one angle and hypotenuse given and opposite side unknown, we can use the definition of sine to find the unknown side.
sin 17 = x/hypotenuse = x/19
x = 19sin17 = 5.6