The balloon assumes the shape of a sphere with a formula of the volume equal to V = 4/3 pi r^3 where r is the radius of the balloon. In this case, we are given with volume of 288 pi in^3. We just substitute the given volume such that the resulting radius that answers the problem is 6 inches.
First add up the total of the food. Then, multiply it by .2 (20%), and subtract that number from your total. You will get the price Jeff paid for his food.
Answer:
D
Step-by-step explanation:
Since KL = JL then the triangle is isosceles with base angles congruent, that is
∠ K = ∠ J = 8x + 5
The sum of the 3 angles in the triangle = 180°
sum the angles and equate to 180
8x + 5 + 8x + 5 + 5x - 19 = 180
21x - 9 = 180 ( add 9 to both sides )
21x = 189 ( divide both sides by 21 )
x = 9
Then
∠ J = 8x + 5 = 8(9) + 5 = 72 + 5 = 77°
Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
Answer:
x = 54° y = 126°
Step-by-step explanation:
Interior angles of a triangle = 180°
Therefore x = 180 - 80 - 46 = 54°
y = 180 - x = 180 - 54 = 126°