Answer:
4000 sq inches
Step-by-step explanation:
A rectangle is given with sides 82 and 46 inches
We have to round off these dimensions to the nearest 10.
82 inches ~80 inches since 2 <5, we make it 0
Similarly 46 inches ~50 inches since 6>5
Now area
= length x width
=80(50)
=4000 square inches
Option 2 4000 sq inches is correct answer.
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
Answer:
The cubic volume of concrete needed to complete the ramp is 360 ft³
Step-by-step explanation:
We note that the ramp shape is that of a right ngled triangular cube with dimensions
Height = 10 ft
Base = 12 ft
Width = 6 ft
The amount of concrete to fill the ramp is approximately the volume of the ramp.
Volume of ramp = volume of triangular prism = 0.5×Base ×Height × Width
Volume of ramp = 0.5×12×10×6 = 360 ft³.
The cubic volume of concrete needed to complete the ramp = 360 ft³.
