Answer:
Circumference of the circle = 100.53 in.
Step-by-step explanation:
Circumference of a circle is given by the formula,
Circumference = 2πr
Radius of the circle 'r' = 16 in.
Therefore, circumference of the circle with radius 16 in will be,
C = 2π(16)
C = 32π
C = 100.53 in.
Answer:
.2
Step-by-step explanation:
do 1 divided into 5 in long division.
you will end up with .2
Answer:
Part 1) ![MN=31\ units](https://tex.z-dn.net/?f=MN%3D31%5C%20units)
Part 2) ![KN=45\ units](https://tex.z-dn.net/?f=KN%3D45%5C%20units)
Part 3) m∠K=61°
Part 4) m∠L=119°
Part 5) m∠M=61°
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
Part 1) Find the side MN
we know that
MN≅KL ----> by opposite sides
we have
![KL=31\ units](https://tex.z-dn.net/?f=KL%3D31%5C%20units)
therefore
![MN=31\ units](https://tex.z-dn.net/?f=MN%3D31%5C%20units)
Part 2) Find the side KN
we know that
KN≅LM ----> by opposite sides
we have
![LM=45\ units](https://tex.z-dn.net/?f=LM%3D45%5C%20units)
therefore
![KN=45\ units](https://tex.z-dn.net/?f=KN%3D45%5C%20units)
Part 3) Find the measure of angle K
we know that
m∠K+m∠N=180° ----> by consecutive interior angles
we have
m∠N=119°
substitute
m∠K+119°=180°
m∠K=180°-119°
m∠K=61°
Part 4) Find the measure of angle L
we know that
m∠L≅m∠N ----> by opposite angles
we have
m∠N=119°
therefore
m∠L=119°
Part 5) Find the measure of angle M
we know that
m∠M≅m∠K ----> by opposite angles
we have
m∠K=61°
therefore
m∠M=61°
1 pint = 473.176 milliliters
62 x 473.176 = 215336.912 milliliters in a pony keg
215336.912/400 = 538.34 glasses
round off answer to 538 glasses
Answer:
7/10
Step-by-step explanation:
(2/5)%(-4/7)
We will change the second fraction to make multiplication
So it will be 2/5×-7/4
=. -14/20
= -7/10