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Orlov [11]
3 years ago
7

Can someone help me with this trigonometry question

Mathematics
1 answer:
dsp733 years ago
6 0
<h3>Answer:  82 degrees</h3>

==================================================

Explanation:

Apply the law of cosines to find angle C

c^2 = a^2 + b^2 - 2*a*b*cos(C)

19^2 = 11^2 + 17^2 - 2*11*17*cos(C)

361 = 121 + 289 - 374*cos(C)

361 = 410 - 374*cos(C)

361 - 410 = -374*cos(C)

-49  = -374*cos(C)

-374*cos(C) = -49

cos(C) = (-49)/(-374)

cos(C) = 0.131016042780749  ..... which is approximate

C = arccos(0.131016042780749)

C = 82.4716905247836

C = 82 degrees

Notes:

  • arccos is shorthand for "arccosine". It is the same as inverse sine.
  • Make sure your calculator is in degree mode. You can check by computing cos(60) and you should get 0.5
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Jose bought a pair of sneakers, a gaming headset and a T-shirt for $77. The headset cost two times
Margarita [4]

Answer:

The cheapest item is T shirt costing $13.

Step-by-step explanation:

Let the cost of T shirt =  $ m

So, the cost of the headset = $ (2m)

and, The cost of Sneakers  = $ ( m + 25)

Total amount spent by Jose = $77

Now, According to the question:

$ m + $ (2m) + $ ( m + 25) = $77

or,  4m + 25 = 77  ⇒  4m = 77 - 25 =  52

or,  m = 52/4 = 13

⇒ The cost of one T- Shirt = m = $ 13

The cost of the headset = (2m)  =  13 x 2  = $ 26

The cost of Sneakers  = $ ( m + 25)  = 13+ 25 = $ 38

As, out of all costs, $13 is the lowest cost

Hence, the cheapest item is T shirt costing $13.

3 0
3 years ago
There are 2,738 students that will travel by bus to a field trip. each bus holds 74 students. how many buses are needed to trans
bulgar [2K]
37 buses
divide 2,734 by 74 and you get 37
3 0
4 years ago
5. Find the time when:<br>Principal = Rs.6000, Total Amount = Rs.9000 and rate = 10% per annum.​
kirill115 [55]

Answer:

15years

Step-by-step explanation:

6000×10×t÷100=9000

600t=9000

t=9000÷600

t=15years

8 0
4 years ago
2/5+3/7 is the same as?​
Vsevolod [243]

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\  \ = \frac{14+15}{35}\\\\ = \frac{29}{35}

6 0
3 years ago
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
lapo4ka [179]

Answer:

9

Step-by-step explanation:

because thats the answer i just did the quiz

have a good day

5 0
3 years ago
Read 2 more answers
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