Answer:
The area of the park is equal to 2,500 square meters.
Step-by-step explanation:
Given that a man runs around a square park and covers 1km in five rounds, the following calculation must be performed to determine the area of the park:
Assuming that the park was square in shape, to calculate its area its base must be multiplied by its height (which are equal).
Thus, if in 5 laps the man runs 1 km, for each lap he will run 200 meters (1000/5). Thus, dividing 200 by the 4 sides of the square, we get 50 meters (200/4). Therefore, since 50 x 50 is equal to 2,500, the area of the park is equal to 2,500 square meters.
Answer:
2nd friend heading west
Step-by-step explanation:
This is actually pretty easy to explain.
You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.
The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.
Let's begin with the 1°, the one who's heading east:
X = 15 + 8 cos45° = 20.66 yards
Now the friend heading west:
X = 15 + 8 cos40° = 21.13 yards
With these results we can conclude that the 2nd friend is further from the tree.
Hope this helps
Answer:
(4,2)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinates divided by 2
( 1+7)/2 = 8/2 = 4
The y coordinate of the midpoint is the sum of the y coordinates divided by 2
( 2+2)/2 = 4/2 = 2
The midpoint is (4,2)
Answer:
B
Step-by-step explanation:
The arc XZ is twice the measure of the inscribed angle XYZ , that is
arc XZ = 2 × 60° = 120°
The complete circumference = 360° , thus
arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B
The true statements are:
- Tyson's expression is not equivalent to the original expression
- The equivalent expression is:
<h3>What are equivalent expressions?</h3>
Equivalent expressions are expressions that have equal values
The original expression is given as:
Collect like terms
Evaluate the like terms
Tyler's equivalent expression is given as:
Collect like terms
Evaluate the like terms
The simplified expressions of the original expression, and Tyson's equivalent expressions are not equal.
Hence, Tyson's expression is not equivalent to the original expression
Read more about equivalent expressions at:
brainly.com/question/9603710
