Answer:
With the narrower angle (15), they add cross supports. The wider angle (30) is given with no supports. Making a stable swing set is no joke.
Step-by-step explanation:
Square root shows up
step 1
[ 10 + sqrt(3) ] * 1/2 = 5 + 1/2sqrt(3)
sqrt(90) = sqrt( 3 * 3 * 10) = 3 sqrt(10)
hope this helps : P
step 2
multiply both above together:
3sqrt(10) * [ 5 + 1/2sqrt(3) ] = 15 sqrt(10) + 3/2sqrt(30)
<span>c) dilation by a scale factor of 2; yes; The length of segment A'B' is longer than the original segment AB. </span>
Cos(theta) has positive values in quadrants I and IV and it has negative value in quadrants II and III. To know that you don't have to remember this but to imagine xy coordinate system. In it you draw a circle around the center.
Once you do that for any given angle you project the point which represents crossing of side that defines angle and circle. Now project that dot on x-axis. If projection is on positive side of x-axis, cos of that angle is positive and if it is on negative side it is negative.
Answer:
Inputs:
Radius (r):
0.65
or
Diameter (d):
1.3
or
Area (A):
1.327
Unit of Lenght:
centimeter
Calculate Circumference
Result:
The circumference of a circle with diameter 1.3 is 4.084(*)
Formulas:
r = 0.65
d = 1.3
C = 4.08
C = 2·π·r C = π·d C = √4·π·A π = 3.1415
A = area of the circle
C = circumference or perimeter
r = radius, d = diameter
Step-by-step Solution:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·0.65 = 4.09(*)
In terms of diameter:
Circumference = π·d = 3.14·1.3 = 4.08(*)
In terms of area:
Circumference C = √4·π·A = √4·π·1.33 = 4.09(*)
(*) 4.084 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 4.084 centimeters is equal to:
4.084E-5 kilometers (km)
0.04084 meters (m)
40.84 millimeters (mm)
2.53768E-5 miles (mi)
0.0446632 yards (yd)
0.13399 feet (ft)
1.60787 inches (in)
