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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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W = 13, x = 9, y = 1.9, z = 0.5<br><br><br> x2 + 4
Sunny_sXe [5.5K]

Answer:

22

Step-by-step explanation:

2x=9 multiplied by 2 which is 18

18+4=22

7 0
3 years ago
Read 2 more answers
There are 120 seats in a row. What is the fewest number of seats that must be occupied so the next person to be seated must sit
Zanzabum
Let's name the seats 1 through 120.
Occupy seat 2.
Leave 2 empty seats. You can't leave 3 empty seats because then the middle seat of the three empty seats is not adjacent to an occupied seat. You can leave only 2 seats empty. Seats 3 and 4 are empty.
Occupy seat 5.
Leave 2 empty seats. Seats 6 and 7 are empty.
Keep on going like this to the end, occupying 1 seat and leaving 2 seats empty.
Now we need to find the number of occupied seats.
Think of the entire row being divided into groups of 3 seats.
The middle seat of each group is occupied.
Since there are 120 seats in the row, there are 40 groups of 3 seats whose middle seat is occupied. There are 40 middle seats, so there are 40 occupied seats.

Answer: 40 seats
4 0
4 years ago
A concrete column has a diameter of 390 mm and a length of 3 m. If the density (mass/volume) of concrete is 2.45 Mg/m^3, determi
Serhud [2]

Answer:

<h2>w= 0.83 N</h2>

Step-by-step explanation:

The column has the shape of a cylinder hence the formula for the volume of a cylinder is

v=\pi r^2h

Given

diameter d= 390 mm

radius r= 390/2= 195 mm to meter = 0.195 m

length or height h= 3 m

applying the data to the formula we have

v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3

we can now use the volume in addition with the density given to solve for the mass using the expression for density

density= mass/volume

2.45= mass/0.035

mass= 2.45*0.035

mass= 0.085 mg

We know that weight

w= mass* acceleration

w= 0.085*9.81

w= 0.83 N

3 0
4 years ago
Simplify the expression the best you can:<br> (9x−4)−(2x−7) =
Kobotan [32]

Answer:

7x+3

Step-by-step explanation:

To simpfly, it would help by simply ignoring the variable (x) and just looking at the number before it, solving it like a regular math problem, from left to right.

9(x) - 2(x) = 7(x)

(-4)-(-7) = 3 --> since there's a minus sign in the middle subtracting the two numbers and one on the -7, the -7 becomes a positive 7. A negative times a negative is always positive so, it would technically be -4+7=3.

Put both of these two numbers together and you get your answer,

7x+3.

If you're having trouble with the part I explained the image might help. Read it from left to right. A negative # + a negative # = positive #, as seen by the first row.

6 0
3 years ago
Write an inequality for the following statement : "you have to be at least 18 years old to vote. "
Svetllana [295]
Thats not the case in other countries, just the us
7 0
3 years ago
Read 2 more answers
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