Answer:
250 + 200h = 300 + 180h
200h – 180h = 300 – 250
20h = 50
H = 2.5 credit hours
Step-by-step explanation: Hope this helps and good luck :))
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
Answer:
c
Step-by-step explanation:
an exponential function of the form
y = a
to find a and b use ordered pairs from the table
using (0, 0.5 ) , then
0.5 = a
[ = 1 ] , then
a = 0.5
so y = 0.5
using (1, 2 ) , then
2 = 0.5
= 0.5b ( divide both sides by 0.5 )
4 = b
then exponential function represented by the table is
y = 0.5 
Answer:
69.08m
Step-by-step explanation:
Circumference of a circle = πd where
d is the diameter of the circle
Given
diameter = 22metres
circumference of the circle = 3.14(22)
circumference of the circle = 69.08m
Hence the circumference of the circle is 69.08m
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be 
and 
the amounts of nickels and dimes that Carrie and Joan have, as 
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
