Answer:
One side of the park is 63 feet.
C is the correct option.
Step-by-step explanation:
We have been given that the shape of the city park is a square and the area if the park is 441 square yards.We have to find the side of the park.
We know that the four sides of a square is equal and the area is given by
![A=\text{(side)}^2](https://tex.z-dn.net/?f=A%3D%5Ctext%7B%28side%29%7D%5E2)
On substituting the value of area, we get
![441=\text{(side)}^2](https://tex.z-dn.net/?f=441%3D%5Ctext%7B%28side%29%7D%5E2)
Take square root both sides and ignore the negative values of side
![\sqrt{441}=\text{side}](https://tex.z-dn.net/?f=%5Csqrt%7B441%7D%3D%5Ctext%7Bside%7D)
On simplifying, we get
Side = 21 yards
Now, we know that
1 yard = 3 feet
Hence, we have
21 yards = 3×21 = 63 feet
Therefore, one side of the park is 63 feet.
C is the correct option.
This answer would be acute because it equals under 45
<span>Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.
In the case above, ΔDWP is presumed to be congruent to </span><span>ΔMJS. Rigid motions involved here are translation and rotation.
In translation, you are basically sliding/moving the figure. </span>ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.<span>
Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of </span>ΔDWP to ΔMJS<span>.
To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.
side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units
Therefore, we can say that </span>ΔDWP is congruent to ΔMJS.<span>
</span>
Answer:
120.25
Step-by-step explanation:
4 to the third power is 64. so 64 + 9 = <u>83</u>. 20-8 = <u>18</u>. 6 + 2 = <u>8</u>.
so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = <u>120.25.</u>