Answer:
8.5 feet?
Step-by-step explanation:
Do do this problem, you need to use the Law of Cosines!
You are trying to find length b, so
b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards
Hope this helps!
Answer:
a) 19/20
b) 1/20
Step-by-step explanation:
a) calculate the fraction of the attendants time will be spent servicing cars
l / L > 0 = Ц / [ Ц - λ ] = 20 --- ( 1 )
Ц (service ) = 15 hour
∴ λ ( arrival rate ) = 14.25
P = λ / Ц = 14.25 / 15 = 0.95 = 19/20
<u>b) Fraction of potential customers lost </u>
Ls = P / ( 1 - P )
where ; P = 19/20
Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 ) = 19
hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20
Answer:
Length of rotated segment = 94 cm
Step-by-step explanation:
Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.
Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.
It is given that a segment of length 94 cm is rotated degrees around a center .
The rotation will have no effect on size of the segment as stated above.
Thus, the segment after rotation will still measure 94 cm.
The total cost of a $2,099 couch including the 6.5% sales tax is $ 2235.435
<u>Solution:</u>
Given that,
cost of couch = $ 2099
Sales tax = 6.5%
<em><u>Finding the total cost of couch with sales tax:</u></em>
Total cost of couch = selling price of couch + sales tax on the selling price of couch
Plugging in values we get,
<em>Total cost of couch = $ 2,099 + 6.5% sales tax on $ 2099</em>
Taking "2099" as common term, we get,
On solving brackets,
Hence, the total cost of the couch is found as $ 2235.435