C=2r
divide both sides by 2
c/2=r
c=2pir
divide by 2pi
c/(2pi)=r
<u>Given</u>:
The measure of arc AB is (4y + 6)°
The measure of arc BC is (20y - 11)°
The measure of arc AC is (7y - 7)°
We need to determine the measure of arc ABC.
<u>Value of y:</u>
The value of y is given by

Substituting the values, we get;

Adding the like terms, we have;

Adding both sides of the equation by 12, we have;


Thus, the value of y is 12.
<u>Measure of arc ABC:</u>
The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.
Thus, we have;



Substituting y = 12, we get;



Thus, the measure of arc ABC is 283°
The minute hand moved 315 degrees.
Answer:
The cost of each Hand towels is $5 and Cost of each Bath towel is $11.
Step-by-step explanation:
Let the Cost of Each hand Towels be
.
Let the Cost of Each Bath Towels be
.
Now Given:
15 hand towels and 43 bath towels for his hotel in Livingston, spending a total of $548.
So we can say that;
⇒ Equation 1
Also Given:
99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177.
So we can say that;
⇒ Equation 2
Substituting the value of 'x' from equation 1 in Equation 2 we get;

Now taking LCM to make the denominator common we get;


Combining the like terms we get;

Dividing both side by 1109 we get;

Substituting the value of y in equation 1 we get;

Hence The cost of each Hand towels is $5 and Cost of each Bath towel is $11.
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.