Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
Add similar elements: :4x+8x=12x
Divide both sides by 12
Therefore, the value of x = 7
You've told us the volume of the carton.
That doesn't tell us the dimensions.
If the unit cubes have to exactly fit the dimensions,
then all we know is that the dimensions are integers,
and their product is 1,000.
The carton could be
1 by 1 by 1,000
1 by 2 by 500
1 by 4 by 250
1 by 5 by 200
1 by 8 by 125
1 by 10 by 100
1 by 20 by 50
1 by 25 by 40
2 by 2 by 250
2 by 5 by 100
2 by 10 by 50
.
.
and several other possible sets.
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = 
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = r²h
V = (8)²(8)
V = (64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Answer:
115.75
Step-by-step explanation:
463/4 friends = 115.75
