Answer:
no trangles can be formed
Step-by-step explanation:
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
sin(a) sin(b)
------------ = ------------
A B
Upon substituting the given values of angle A, and sides a and b, we get:
sin(75) sin(B)
------------ = ------------
2 3
Upon solving this equation for B, we get:
----->3sin(75)=2sin(B)
----->sin(B)=3sin(75)
-------------
2
------>sinB=1.4488
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
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Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
where
L is the length
W is the width
we have
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
solve for W
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Cost of 3 laptops
3×546.78
=1,640.34
Cost of 2 desktop computer
2×1,255.99
=2,511.98
Cost of fax machine
125.99
Total cost
(1,640.34+2,511.98+125.99)
=4,278.31
So Kim will need an additional 778.31 to start her business
4,278.31−3,500
=778.31
Answer:
sales tax= 9 %
Step-by-step explanation:
sales tax= cost x %tax
38.70 = 430 x %tax
%tax = 38.7/430 = 0.09 = 9 %
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