Answer:
Length of the bold sector: 40.3ft
Area of the bold sector: 282.08
Step-by-step explanation:
Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3
Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.
Answer:
The number is 5.
Step-by-step explanation:
The product of 5 and 4 more than a number = 9 times the number
Let the number be x;
5(4 + x) = 9x
20 + 5x = 9x
4x = 20
x = 20/5
x = 5.
20/100
= 0.2
0.2 x 20
= 4
4 of the shops are ice cream shops.
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
ANSWER
EXPLANATION
The sum of an arithmetic sequence whose first term and last terms are known is calculated using
From the given information, the first term of the series is
and the last term of the series is
The sum of the first 26 terms is
