the total daily incentive of the workers of a factory is 1240usd,the average daily incentive of a woker is 62 usd,wat is the number of workers in the factory​

The missing values are highlighted in bold, which are approximate to four decimal places (with the exception of B = 90 in problem 3).

Lowercase letters a,b,c are side lengths; Uppercase letters A,B,C are angles opposite the sides mentioned.

The drawings are shown below.

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Explanation:

Problem 1

Use the Law of Cosines to solve for side c

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

c^2 = 3^2 + 4^2 - 2*3*4*cos(40)

c^2 = 6.61493337

c = sqrt(6.61493337)

c = 2.57195128

c = 2.5720

Now apply the Law of Sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/3 = sin(40)/2.57195128

sin(A) = 3*sin(40)/2.57195128

sin(A) = 0.74976647

A = arcsin(0.74976647)

A = 48.57015285

A = 48.5702

Once we know two angles of a triangle, we can then subtract their sum from 180 to get the third missing angle.

A+B+C = 180

B = 180 - (A+C)

B = 180 - (48.57015285+40)

B = 91.42984715

B = 91.4298

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Problem 2

Like with the previous problem, we can use the Law of Cosines to solve for the missing side.

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

b^2 = 3^2 + 2^2 - 2*3*2*cos(110)

b^2 = 17.10424172

b = sqrt(17.10424172)

b = 4.13572747

b = 4.1357

Now use the Law of Sines to find angle A

sin(A)/a = sin(B)/b

sin(A)/3 = sin(110)/4.13572747

sin(A) = 3*sin(110)/4.13572747

sin(A) = 0.68164014

A = arcsin(0.68164014)

A = 42.9719427

A = 42.9719

Then we can wrap things up like so

A+B+C = 180

C = 180 - (A+B)

C = 180 - (42.9719427+110)

C = 27.0280573

C = 27.0281

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Problem 3

Use the Law of Cosines to find angle A.

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

12^2 = 13^2 + 5^2 - 2*13*5*cos(A)

144 = 194 - 130*cos(A)

-130*cos(A) = 144 - 194

-130*cos(A) = -50

cos(A) = (-50)/(- 130)

cos(A) = 0.38461538

A = arccos(0.38461538)

A = 67.38013505

A = 67.3801

We could use the Law of Cosines to find angle B, but I'll use the Law of Sines instead.

sin(A)/a = sin(B)/b

sin(B) = b*sin(A)/a

sin(B) = 13*sin(67.38013505)/12

sin(B) = 0.99999999998574

sin(B) = 1

B = arcsin(1)

B = 90

It turns out we have a 5-12-13 right triangle (though usually c is the longest side instead of b).

Now we could use the Law of Cosines to find angle C, but the steps shown below are much quicker in my opinion that don't involve any trig functions.

A+B+C = 180

C = 180 - (A+B)

C = 180 - (67.38013505 + 90)

C = 22.61986495

C = 22.6199

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Problem 4

The steps will basically be identical to problem 3, but with different numbers of course.

First we need the Law of Cosines to find angle A.

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

5^2 = 8^2 + 9^2 - 2*8*9*cos(A)

25 = 145 - 144*cos(A)

-144*cos(A) = 25 - 145

-144*cos(A) = -120

cos(A) = (-120)/(-144)

cos(A) = 0.83333333

A = arccos(0.83333333)

A = 33.55730976

A = 33.5573

Now use the Law of Sines to find angle B.

sin(A)/a = sin(B)/b

sin(B) = b*sin(A)/a

sin(B) = 8*sin(33.55730976)/5

sin(B) = 0.88443328

B = arcsin(0.88443328)

B = 62.18186103

B = 62.1819

Lastly,

A+B+C = 180

C = 180 - (A+B)

C = 180 - (33.55730976 + 62.18186103)

C = 84.26082921

C = 84.2608

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Side notes:

Answer:

B. 42.

Step-by-step explanation:

x/35 = 30/25

25x = 30*35

x = (30*35)/25

  = 1050/25

  = 42.

Answer:

3:2

Step-by-step explanation:

if they won 3/5 games, then the other 2 were lost so the ratio would be 3:2

Answer:

I have no clue thats why is got this app

Answer:

57 units³

Step-by-step explanation:

Volume = length • width • height

Fill in the numbers:

V = 3 4/5 • 2 1/2 • 6

I am making them into improper fractions to make it easier:

V = 19/5 • 5/2 • 6

Multiplying the length and the width:

V = 95/10 • 6

Multiplying the height in:

V = 57

Answer:

2 feet is equal to 0.609 meters

One meter is equal to roughly 3.281 feet.

So two feet is less than one meter.

To find how many meters a certain amount of feet is, you divide by 3.281

2 ÷ 3.281 = 0.609

2 feet is equal to 0.609 meters

Answer:

0.61 meter

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Answer:

$91 per ounce

Step-by-step explanation:

If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable [tex]x[/tex] for ounces. Then, we have the equation

[tex]3x=273[/tex].

Dividing both sides by 3, we have

[tex]x=91[/tex].

The cost of one ounce is $91.

Answer:

[tex](2,\, -3)[/tex].

[tex]r = \sqrt{6}[/tex].

Step-by-step explanation:

Let [tex](a,\, b)[/tex] denote the center of this circle. Let [tex]r[/tex] ([tex]r > 0[/tex]) denote the radius of this circle. The equation of this circle would be:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Expand to obtain an equivalent equation:

[tex]x^{2} + (- 2\, a) + y^{2} + (- 2\, b) + (a^{2} + b^{2} - r^{2}) = 0[/tex].

Since this equation and the given equation describe the same circle, their corresponding coefficients should match.

Notice that the coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] in this equation are both [tex]1[/tex]. However, the corresponding coefficients in the given equation are both [tex]2[/tex]. Thus, divide both sides of the given equation by [tex]2\![/tex] to match the coefficients of the [tex]x^{2}[/tex] and [tex]y^{2}[/tex] terms:

[tex]x^{2} + (- 4\, x) + y^{2} + 6\, y + 7 = 0[/tex].

The constants should also match. Thus:

[tex]a^{2} + b^{2} - r^{2} = 7[/tex].

Substitute in [tex]a = 2[/tex] and [tex]b = (-3)[/tex]; given that [tex]r > 0[/tex], the value of [tex]r[/tex] would be:

[tex]r = \sqrt{2^{2} + 3^{2} - 7} = \sqrt{6}[/tex].

Answer:7541

Step-by-step explanation:

all you have to do is add the bottom

Answer:10 to the 2nd power

Step-by-step explanation:

Add total people:

5 + 20 + 40 + 30 + 20 = 115 people

Add people 6-10 to 21-25 = 20 + 20 = 40

Divide the two age ranges by total people:

40/115 = 0.34782609

Multiply by 100 to get percent:

0.34782609 x 100 = 34.782609%  Round off as needed

Answer:

Rhombus

Square

Step-by-step explanation:

Rhombuses and squares have sides that are always congruent.

Answer:

2x² + 4y²

according to your given information.......

Answer:

let's suppose

Diane: D= H – 8

Henry: H

Abdul: A = 3H

D+H+A=82

D=10

H=18

A=54

Answer: five hundred sixty-two thousand nine hundred thirty-two

Step-by-step explanation: Student instructed to give the word form of a given value.

Answer:

The correct word form is:

Five hundred sixty-two thousand nine hundred thirty-two.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Answer:

125 students ride their bike to school

Step-by-step explanation:

We can set a proportion.

5 / 32 = x / 800

where x is the number of students out of 100 who ride their bikes.

Cross multiply.

32x = 4000

Divide both sides of the equation by 32.

x = 125

125 students out of 800 students ride their bikes to school.

Answer:

f(0)=3

Step-by-step explanation:

f(0) = -3 x 0 + 3

f(0)=3

Answer:

Infinetly many (d)

Step-by-step explanation:

The graphs are the same, so they will all have the same solutions.

hope this helps!

ibrahim

Answer:

first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.

Answer:

9a(9b-10)

Step-by-step explanation:

Answer:

  -225°, 135°, 495°

Step-by-step explanation:

Adding or subtracting multiples of 360° will give angle values that are coterminal with a given angle.

  -225° -360° = -595° (not on the list)

  -225° +0·360° = -225°

  -225° +360° = 135°

  -225° +2·360° = 495°

Angles -225°, 135°, 495° are coterminal with -225°.

Answer:

True

Step-by-step explanation:

3x5=15

15+8=23

23=23

Answer:

True

Step-by-step explanation:

3 x 5 = 15

15 + 8 = 23

Answer:

6.71 mm

Step-by-step explanation:

Find radius R

Volume = πR²H

4500π = πR²*100

R² = 45

so R = √45 = 3√5 = 6.71 mm

Answer: the answer is x+8= 1

Answer:

d.f(x)=(×2 +1)/3).

Step-by-step explanation:

I think that was my answer

[tex]______________________________________________[/tex]

[tex]\huge\rm{ANSWER:}[/tex]

[tex]\huge\rm{GIVEN:}[/tex]

Change 288 square inches to feet

(Keep in mind that 1 feet equals 12 inches)

[tex]\huge\rm{SOLUTION:}[/tex]

Follow these steps to convert to square feet.

Step 1: Convert an inch to a square inch.

If 1 feet equals 12 inches, then

1 square feet equals (12) inches equals 144 square inches

As a result, 144 square inches equals one square feet.

Step 2: Using the unitary method, we obtain

288 square inches = 288/144 square feet.

288 square inches = 2 square feet

As a result, 288 square inches equals 2 square feet.

[tex]______________________________________________[/tex]

Answer:

[tex](20 \div 6) \times (36 \times 2) = 3.30 \times 72 = 237.60[/tex]