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Sever21 [200]
4 years ago
9

Solve the triangle. B = 36°, a = 41, c = 20

Mathematics
1 answer:
AnnyKZ [126]4 years ago
7 0
C = 82.8° 

<span>b = 27.5 </span>

<span>Here's the working in case you need to see it. </span>

<span>Using Law of Cosines to first find b: </span>

<span>b² = a² + c² - 2acCOS(B) </span>

<span>b² = (41)² + (20)² - 2(41)(20)COS(36) </span>

<span>b = about 27.5 </span>

<span>Now using Law of Sines to find A </span>

<span>sin(36) / (27.5 = sin(A) / (41) </span>

<span>sin(A) = 41sin36 / 27.5 </span>

<span>sin(A) = 0.876334376145 </span>

<span>A = SinInverse(0.876334376145) </span>

<span>A = about 61.2° </span>

<span>Now using 180-61.2-36 to find B = 82.8° </span>

<span>Have a good day! </span>
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garik1379 [7]
Each dvd cost $7.50 how? Your friends buy 8 dvd's and in total is 60, you want to divide 60 from 8 and find that it's 7.50 and then multiply 8 to 7.50 and it should be 60. Hope this helps!!

5 0
3 years ago
Could you help me please?
Nadya [2.5K]
--------------------------------------------------------------
Find x :
--------------------------------------------------------------
Sum of adjacent angles on a straight line is 180.

∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
x = 35

--------------------------------------------------------------
Check if AC is parallel to DF :
--------------------------------------------------------------
If AC is parallel to DF, 
∠YBC = ∠BEF (Corresponding angles)

∠YBC = 2x + 50 = 2(35) + 50 = 120
∠BEF = 5x - 55 = 5(35) - 55 = 120

Since ∠YBC = ∠BEF, AC and DF are parallel.

---------------------------------------------------------------------------------------------
Answer: Since ∠YBC = ∠BEF, AC and DF are parallel.
---------------------------------------------------------------------------------------------

8 0
3 years ago
Read 2 more answers
Please help me :'( 25 points!
likoan [24]

Answer:

$15,339

Step-by-step explanation:

C(x) = 0.5x² − 100x + 20,339

Since this is a parabola, the minimum cost is at the vertex:

x = -b / (2a)

x = -(-100) / (2 × 0.5)

x = 100

So the minimum cost is:

C(100) = 0.5(100)² − 100(100) + 20,339

C(100) = 15,339

6 0
3 years ago
Please help! :0 :0 PLEASEEEEEE
CaHeK987 [17]

Answer:

i would say either F or G

i guess choose F

4 0
2 years ago
Read 2 more answers
"What is the value of-3|15-s|+2^3 when s-=3"?
Serggg [28]
You probably made a typing error in writing s = -3 and wrote s - = 3 instead.

The given expression is:

-3|15-s|+ 2^{3}  \\  \\ &#10;-3|15-s|+8&#10;

Substituting the given value of s in the previous equation, we get:

-3|15-(-3)|+8 \\  \\ &#10;=-3|15+3|+8 \\  \\ &#10;=-3|18|+8 \\  \\ &#10;=-54+8 = -46

Thus the value of given expression becomes -46 for s = -3
3 0
3 years ago
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