Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
Taking square root on both sides.
Height cannot be negative. Round to the nearest foot.
Therefore, the height of the ladder on the wall is 39 foot.
Answer: 19.2inches³
Step-by-step explanation:
The volume of a cone is calculated as:
= 1/3πr²h
where,
π = 3.14
r = radius = diameter/2 = 3.5/2 = 1.75
h = height = 6
Volume = 1/3πr²h
= 1/3 × 3.14 × 1.75² × 6
= 19.2325
= 19.2inches³
Therefore, the volume of the cone-shaped sandwich is 19.2inches³.
Answer:
x = 11
Step-by-step explanation:
sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal
perimeter is the sum of all sides, so set up equation:
95 = 4x - 2 + 4x - 2 + x
95 = 8x - 4 + x
95 = 9x - 4
99 = 9x
x = 11
This is a proportion problem
3/10= 12/x
Now cross multiply and divide
12 x 10= 120
120/3= 40
Answer is 40
Answer:
$1.80
Step-by-step explanation:
4x = 7.20
x = 1.80
