The second option 0.04 is greater
Answer:
Point O is the center of the circle.
<u>Part (a)</u>
is a chord.
is a segment of the radius and is perpendicular to 
If a radius is perpendicular to a chord, it bisects the chord (divides the chord into two equal parts).
Therefore, 
<u>Part (b)</u>
If
was extended past point E to touch the circumference it would be a chord.
As
is perpendicular to
, it would bisect the chord, but as
is only a portion of a chord,
<u>does not</u> bisect
.
Therefore, there is no length equal to
.
Answer:
Perimeter
units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points
is





The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
So first we assume that half is adult and have is student.
So
215 adult 215 student
Now since it said they were 70 less student tickets than adult tickets we subtract 70.
215 - 70 = 145
Now we add the 70 we subtracted from student tickets to the adult tickets.
215 + 70 = 285
So there were
285 adult tickets sold and 145 student tickets sold
I hope this helped. Have a great day!
Answer:
7%
11%
5%
14%
Step-by-step explanation:
To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.
Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.
Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.
Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.
Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.
Hope this helps! :)