Answer:
x ≈ 17.5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )
x = 
≈ 17.5 ( to the nearest tenth )
Answer:
Here is a proof
Angle DEF = angle ABC
A transversal cutting two parallel lines makes alternate exterior angles equal
Sum of measures of angles 1 and 2 = 50° + 48° = 98° = measure of angle DEF = measure of angle ABC
But since s bisects angle ABC, then angle 4 = 98 / 2 = 49°
But angles 3 and 4 are vertical angles....therefore.... measure of angle 3 = 49°
Step-by-step explanation:
Answer:
About 51.5%
Step-by-step explanation:
The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!
Answer:
Mr. Drew needs 167.3 ft of wood
Step-by-step explanation:
we know that
The area of a square is
where
b is the length side of the square
we have
substitute in the formula and solve for b
square root both sides
To determine the total length of wood , calculate the perimeter of the sandbox
The perimeter of the sandbox is equal to the perimeter of 5 squares
so
substitute the value of b
therefore
Mr. Drew needs 167.3 ft of wood
%/100 = is/of
25.5%/100= x/60
The answer is 15.3
