Answer:
C =81.64 cm
Step-by-step explanation:
The circumference is given by
C = 2* pi *r
The radius is 13
C = 2 * 3.14 * 13
C =81.64 cm
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
The equation of the line in point-slope form is 
.
Step-by-step explanation:
According to the statement, let 
and 
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
, 
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that 
and 
, then the equation of the line in point-slope form is:
From (2):
By (1):
The equation of the line in point-slope form is .
$124.56 because if you have 63% you change it to a decimal so it is not .63 and you multiply it by 146.16 and then add the 35 you get 124.56
