Hello from MrBillDoesMath!
Answer:
80
Discussion:
Per the attachment, arc AB spans 110 degrees and arc BC spans 90 degrees (as that is the measure of the central angle subtending it). Hence arc ABC spans 110 + 90 = 200 degrees. As a circle has 360 degrees the smaller arc CA spans 360 - 200 = 160 degrees. But angle"b" is a tangent chord angle so its measure equals 1/2 the arc spanned, that is 1/2 ( 160 ) = 80 degrees
Thank you,
MrB
Answer:
6sqrt(3)
Step-by-step explanation:
Think of the square root like a variable
sqrt(3) *5 + sqrt(3)
Factor it out
sqrt(3)(5+1)
sqrt(3) (6)
6sqrt(3)
Answer:
10 miles
Step-by-step explanation:
Given: Bike goes 8 miles south and then 6 miles east
To find: distance between the final point and the starting point
Solution:
<u>Pythagoras Theorem</u>
In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.
In ΔOAB,

Put 

Take square root on both sides.

So, distance between the final point and the starting point is 10 miles
7.088
Step 1) get r from area= pi *r^2
2) found the centimeters
To find the perimeter, multiply the longest side of the rectangle by 4.
To find the area of the square, find the area both rectangles and add them together.