Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
∵ The flagpole is 8 meters high
∵ The hook is 4 meters from its base and the hook is in the ground
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
∴ The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
Answer:28inches & 84inches
First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...
112=3x+x
Now lets solve for x.
112=4x
divide both sides by 4
28 inches=x
Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.
28*3=84 inches
28+84=112
Answer:
a. 
b.
c. They are equivalent
Step-by-step explanation:
a. The trapezoid can be divided into two triangles and one rectangle. For the three figures, the height is 12ft. For the rectangle, the dimensions are 12ftx10ft. Since the legs are of the same length the triangles have a base of 9ft (because the rectangle takes 10 feet from the base of 28 feet and there are 18 feet left over, these 18 are divided equally between the two triangles).
b. The formula is
c. They are equivalent
Answer:
The run is -7.
Step-by-step explanation:
Since we know that slope = rise/run, we can calculate the run by inputting the given numbers.
So,
-3 = 21/x and we need to solve for x.
When we cross multiply we get -3x=21.
Then, divide -3 on both sides and x = -7
