4 bags of popcorn for 5 students (4/5)
each student would get 4/5 or .8 of each bag of popcorn
Answer : The correct option is, (B) 56.8
Step-by-step explanation :
Right Triangle Altitude Theorem:
The measure of altitude drawn from the vertex of the right angle of a right angled triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
We are drawing a line from vertex to hypotenuse side.
As per theorem:
Therefore, the length of the altitude to the hypotenuse is 56.8
Answer:
A= 40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3/4 (2a-6)+1/2=2/5(3a+20)
(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)
(distribute)
3/2a + -9/2 + 1/2 = 6/5a + 8
(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)
3/2a + -4 = 6/5a + 8
3/2a -4 = 6/5a+8
Step 2: Subtract 6/5a from both sides.
3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a
3/10 a - 4= 8
Step 3: Add 4 to both sides.
3/10a -4 +4 = 8 + 4
3/10 a = 12
Step 4: Multiply both sides by 10/3
(10/3) * (3/10a) = (10/3) * (12)
a = 40
Answer: 29 feet.
Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.
91 = 3.14 x d
In order to solve for d you need to divide both sides for 3.14:
D = 28.98, rounded to the nearest foot is 29 feet.
