Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
Answer:
6
Step-by-step explanation:
Answer:
50% of $6
$3
$9
Step-by-step explanation:
We are given,
The original price for the ticket = $6
Also, the prices of the tickets were raised by 50%.
Thus, the raise in the prices of tickets = 50% of $6.
i.e. Raise = 50% × 6 = 0.5 × 6 = $3
Since, the raise in the prices is by $3.
Thus, the new price of the tickets = $6 + $3 = $9.
Hence, the percent equation is 50% of $6, the amount by which ticket prices rose is $3 and the new amount is $9.
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
