Answer:
let x = the amount of orange juice in a full glass.
the glass is 1/6 full = 1/6 * x
add 95 cubic centimeters and the glass becomes 4/5 full.
equation for that is:
1/6 * x + 95 = 4/5 * x
subtract 1/6 * x from both sides of this equation to get:
95 = 4/5 * x - 1/6 * x
multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:
95 = 24/30 * x - 5/30 * x
combine like terms to get 95 = 19/30 * x
multiply both sides of the equation by 30/19 to get:
30/19 * 95 = 30/19 * 19/30 * x
simplify to get:
30/19 * 95 = x
solve for x to get x = 150.
the volume of the glass is 150 cubic centimeters.
1/6 * 150 = 25
4/5 * 150 = 120
the difference between 4/5 full and 1/6 full is 95 cubic centimeters.
solution is that the volume of the glass is 150 cubic centimeters.
Step-by-step explanation:
Find: 1) the area of a circle of diamter 5 feet and radius 5/2 feet.
2) the area of a triangle with height 4 ft and base 6 ft.
Add these 2 results together: pi*(5/2)^2 + (1/2)(6)(4) ft
The trick here is to recognize basic shapes, find their areas separately and add the results.
To find the measure of the third angle you should keep in mind the following:
The sum of the three interior angles of a triangle is 180 °.
We have then
k + 27 + 10 = 180
Clearing k:
k = 180-27-10 = 143
K = 143 °
Answer:
the value of k is 143 °
The correct answer was no need to pay taxes. Not D. Apex confirmed
Answer:
145 degrees .....................
