I need help with math

Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.

The measure of the angle C of the given triangle is 43.61°

According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write

AB² = BC² + CA² - 2(BC)(CA)cos C.

Here, AB = 16, BC = 22, and AC = 21.

Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C

i.e. 256 = 484 + 441 - 924 * cos C

i.e. 256 - 925 = - 924 * cos C

i.e. - 669 = - 924 * cos C

i.e. cos C = 669/924 = 0.724

i.e. C = cos⁻¹(0.724) = 43.61

Therefore the measure of the angle C of the given triangle is 43.61°

Learn more about law of cosines here -

https://brainly.com/question/4472157

#SPJ2

Answer:

5x2-7x-1

Step-by-step explanation:

STEP1:Equation at the end of step 1

((5x2 - 7x) - 3) + 2

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5x2-7x-1 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -1 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -7 .

     -5   +   1   =   -4     -1   +   5   =   4

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

Answer:

200 vs 230

$30

Step-by-step explanation:

Answer:

The blue pitcher

Step-by-step explanation:

2,800 ML= 2.8 liters

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

Answer:

1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58

Step-by-step explanation:

1) Surface area of a cuboid = 2(lb + bh + hl)

                                             = 2(6*4 + 4*3 + 3*6)

                                             = 2(24 + 12 + 18)

                                             = 2*54

                                             = 108 square units ------- (1)

 Volume of a cuboid = lbh

                                   = 6*4*3

                                   = 72 cube units ----------- (2)

2) Surface area = (1) - specific surface area

     Specific surface area

          =2(2*6 + 6*1 + 2*1)

          =2(12 + 6 + 2)

          =2*20

          =40 square units

  Therefore surface area = 108 - 40 = 68 square units  --------- (3)

  Volume = (2) - specific volume

      Specific volume

              =l*b*h

              =2*6*1

             =12 cube units

 Volume = 72 - 12 = 60 cube units ---------- (4)

3) Surface area = (3) - specific surface area

              Specific Surface Area

               2(2*4 +2*1 + 4*1)

               2(8 + 2 + 4)

               2(14)

               28 square units

 Surface area = 68 - 28 = 40 square units

  Volume = (4) - specific volume

         Specific volume

            = 1*2*4

            = 8 cube units

       Volume = 60 - 8 = 52 cube units

I really hope that u understood all these shortcuts

Please mark as brainliest

Thank You

Answer:

y = 3

Step-by-step explanation:

y , 2 , 4 , 5 , 7, 9

Mean = 5

[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]

Answer:

one solution (2.333, 9.6666)

Step-by-step explanation:

The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x

5x +-2 = 2x + 5                   Write the left with 1 sign

5x - 2 = 2x + 5                    Subtract 2x from both sides

2x          2x

3x - 2 = 5                            Add 2 to both sides

     2     2

3x = 7                                  Divide by 3

x = 7/3

x = 2 1/3

y = 5x - 2

y = 5(2 1/3) - 2

y = 11 2/3 - 2

y = 9 2/3

Answer:

52.8

Step-by-step explanation:

We take the midpoint of the range as, x

Midpoint = (lower + upper) /2

Midpoint, x ___ Frequency, F

15 ___________ 7

45 __________27

75 __________12

105 __________4

The mean :

Σfx / Σf

= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)

= 2460 / 50

= 52.8

Answer:

A. (3,0)

D. (0,-1)

E. (2, 1)

Step-by-step explanation:

A. (3,0)

B. (1,7)

C. (6,2)

D. (0,-1)

E. (2, 1)

F. (3, 4)

у< x  #############################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

y< 5 ####################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

X<4 ###################

A. (3,0)

D. (0,-1)

E. (2, 1)

Answer: The answer is the diameter.

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

the diameter goes straight through the center of the circle

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

Answer: a = 7.5h + bn

Step-by-step explanation:

Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.

where,

a = total amount earned,

h= hours worked in one week,

n = number of bouquets she arranged

b= bonus amount for bouquets

Then, the formula that will help her determine how much she will make in a week will be:

a = (7.5 × h) + (b × n)

a = 7.5h + bn

The formula is a = 7.5h + bn.

Answer:

Step-by-step explanation:9.5

Answer:

x=48

y=50

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

correct me if im wrong

Answer:

220

Use PEMDAS

Answer:

4/12

Step-by-step explanation:

i am not good at this but i will try☺

Answer:

30%

Step-by-step explanation:

To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.

Apple: 4

Total fruit: 12

So,

4/12 = 0.3

The percentage of apples:

30%

Answer:

hello

Step-by-step explanation:

I did not known your answer

Answer:

D

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

Answer:

I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs

Answer:

2 is the base

Step-by-step explanation:

2^12

The 2 is the base and the 12 is the exponent

Answer:

(a, b)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).

Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)

Step-by-step explanation:

the answer is in the above image

Answer:

1. 20

2. 0

Step-by-step explanation:

1. 20

11 -12÷4+3 (6-2)

Brackets first

11-12÷4+3 x 4

Then division and multiplication

11-3+12

Subtraction next

8+12

Now addition

8+12=20

2. Anything divided by 0 is 0

Answer:

The answer;

C. y>= 2

The choose ( C)