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fgiga [73]
3 years ago
12

Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of J, the smallest angle in a triangle with sides measuring 11, 13, an

d 19. Round to the nearest whole degree.

Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

Yes I think it is 34. See picture

Step-by-step explanation:

Andrej [43]3 years ago
7 0
Given the sides 11,13,19, to calculate for the smallest angle using cosine rule, i.e;
a^2=b^2+c^2-2bc cos (A)

we shall proceed as follows;

The smallest angle is always opposite to the shortest side; Since 11 is our shortest side, the smallest angle is the angle opposite to this side. Thus;
let a=11 and our smallest  angle be A
thus
11^2=13^2+19^2-2*13*19 Cos A
121=169+361-494 Cos A
121=530-494 Cos A
-409=-494 Cos A
dividing through by -494 we get;
Cos A=0.8279

thus
A=Cos(-1) 0.8279
A=34.113°≈34°

The answer is A=34°

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Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
Thepotemich [5.8K]

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

8 0
2 years ago
Use a net to find the surface area of the prism.
lawyer [7]
The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
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Answer: 426m²
5 0
3 years ago
I need help thank you
Juliette [100K]

Answer:


Step-by-step explanation:

The key and the most critical step is to draw the line first. Don't do anything else before that.

(2,-8) (-2,-8)

What you find out is that the y value is always - 8.

So the line has no slope and any x value

y = 0*x + b

y = - 8 is the equation of the line.

8 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL MARK BEAINLIST
attashe74 [19]

Answer:

Is it 1,512?

Step-by-step explanation:

6 0
2 years ago
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