Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.​

Answer: 16

Step-by-step explanation:

[tex]x^2-8x+c[/tex]

Let's complete the square.

[tex]c=(\frac{b}{2})^2[/tex]

[tex]c=(\frac{-8}{2})^2[/tex]

[tex]c=(-4)^2\\ c=16[/tex]

The value c that completes the square for x²-8x+c is,

c = 4

We have to give that,

An equation is,

⇒ x² - 8x + c

Now, Complete the quadratic equation to square,

⇒ x² - 8x + c

⇒ x² - 2×2²×x + 4

⇒ x² - 8x + 4

⇒ (x - 2)²

Hence, The value c that completes the square for x²-8x+c is,

c = 4

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option a is the answer you are which class same question is there for me

Answer:

he trigonometric ( or polar) form of  z= a+bi is z = r(cosθ+isinθ) .

So for Part 3  3 - 3i we have r = √(3^2 + (-3)^2) = 3√2 and θ= arctan(3/-3) = arctan (-1) = -π/4.

So the answer is  3√2(cos(-π/4) + isin(-π/4).

Part 1.  3 =  3(cos 0 - i sin 0).

Part 2.  -6i =  6(cos (-π/2) - isin -(π/2)

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Base: 8

Height: 5

The formula for the area of a triangle is base times height divided by two. Add the area of the rectangle to the triangles and BOOM there’s your answer.!.

Answer:

Step-by-step explanation:

Guven two prime numbers to be 31/x and 71/x, if their sum is 10 as given;

3x + 71/x = 10 then to find the value of x, the following steps must be taken;

Step 1

Find the LCM of the given equation;

3x + 71/x = 10

[tex]\frac{3x^{2}+71 }{x} =10\\[/tex]

Step 2:

Cross multiplying;

[tex]3x^{2} +71=10x\\3x^{2} -10x+71 =0\\[/tex]

Using the general formula to get the value of x;

x = -b±√b²-4ac/2a

a=3, b=-10, c=71

= 10±√(-10)²-4(3)(71)/2(3)

= 10±√100-852/6

= 10±√-752/6

= 10±27.4i/6

= 10+27.4i/6 or 10-27.4i/6

x = 5/3+27.4i/6 or 5/3-27.4i/6

Since the values of x are real values then, our answer will be the real part of the complex number gotten.

x = 5/3

Answer:

28 is less than or equal to x

Step-by-step explanation:

20 is less than or equal to x - 8

20 + 8 is less than or equal to x - 8 + 8

You add to cancel out the 8 to isolate x.

28 is less than or equal to x

Circumference = PI x diameter

FInd the diamter:

19.5 = 3.14 x diameter

Divide both sides by 3.14:

Diameter = 19.5 / 3.14

Diameter = 6.21019108 inches.

Radius = diameter / 2

Radius = 6.21019108 / 2

Radius = 3.10509554 inches

Rounded to the nearest hundredth = 3.11 inches.

Answer:x^2 - 10x +21

Step-by-step explanation:

Answer:

the answer is 27

Step-by-step explanation:

because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27

Answer:

A = 222 in²

Step-by-step explanation:

A = 2(wl+hl+hw)             Use this equation to find the surface area of the rectangular prism

A = 2(5*12 + 3*12 + 3*5)    Multiply

A = 2(60 + 36 + 15)            Add in the parentheses

A = 2(111)                             Multiply

A = 222 in²

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Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

Wyatt : 8c-48cd=8c(1-6d)

Xavier :36c-24c =12c(3-2)

Yang: 8c+40=8(c+5)

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer:

wyatt answered correctly

Step-by-step explanation:

Answer:

I think it is associative! Not sure though bc of the q!

Step-by-step explanation:

Answer:

19.5

Step-by-step explanation:

there are two middle values in this data set so you have to add and divide them. 18+21=39

39/2= 19.5

hope this helps ! :)

Answer:

19.5

Step-by-step explanation:

middle is 18 and 21 so we need to take the average of these  2 numbers

18+21=39

39/2=19.5

Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

The surface area of the given cube is 96 square units, option A is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula to find the surface area of cube is 6s²

Where s is the side length of cube

s=4 from the given cube

Plug in the value of s in surface area formula

surface area = 6(4)²

=6×16

=96 square units

Hence, the surface area of the given cube is 96 square units, option A is correct.

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Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Answer:

The answer is 16.8 cm^ 2.

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

[tex]A(n) = F + gn[/tex]

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that [tex]F = 30, g = 2[/tex]

So

[tex]A(n) = 30 + 2n[/tex]

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

[tex]A(n) = 30 + 2n[/tex]

[tex]44 = 30 + 2n[/tex]

[tex]2n = 14[/tex]

[tex]n = \frac{14}{2}[/tex]

[tex]n = 7[/tex]

He played 7 arcade games.

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

0 = (x-4) (x-2)

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

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

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8

Answer:

Quadrants: 1, 3, 4. (See explanation for further details)

Step-by-step explanation:

The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4

Answer:

1, 2, 3

Step-by-step explanation:

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

The height of the building with a shadow of 88 feet is 55 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the building, hence using trigonometric ratios:

tan(32) = h / 88

h = 88 * tan (32) = 55 feet

The height of the building with a shadow of 88 feet is 55 feet.

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Answer: 55

Step-by-step explanation: The building is 55 meters high

Answer:

6 put of 8, 3/4, or 75%

Step-by-step explanation:

Hope this helps ! :)  good luck

Answer:

170 Bagels

Step-by-step explanation:

Add the amount of bagels from the first and second hour which equals to 71, then subtract that from the total which is 241 and you will get 170.

Answer: 68 adult tickets were sold and 78 child tickets were sold.

Step-by-step explanation:

a + c = 146 where a is the number of adults tickets sold and c is the numbe rof child tickers sold.

5.60 a+ 8.80c= 1067.20

    a    + c = 146

5.60a  + 8.80c = 1067.20 solve by elimination.

a=68

c =78

The cost price of the cycle is Rs.3240

Represent the cost price of the cycle with x and the selling price with y

A gain of 5% when the marked price is at a discount of 10% implies that:

[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]

Express 10% as decimal

[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]

[tex]5\%=\frac{0.90y-x}{x}[/tex]

Express 5% as decimal

[tex]0.05=\frac{0.90y-x}{x}[/tex]

Cross multiply

[tex]0.05x=0.90y-x[/tex]

Collect like terms

[tex]x + 0.05x=0.90y\\[/tex]

This gives

[tex]1.05x=0.90y[/tex]

Make y the subject of the formula

[tex]y = \frac{1.05x}{0.90}[/tex]

Also, when the discount is 5% and the profit is 351, we have:

[tex]351=(1 - 5\%)y -x[/tex]

Express 5% as decimal

[tex]351=(1 - 0.05)y -x[/tex]

This gives

[tex]351=0.95y -x[/tex]

Make y the subject

[tex]0.95y = 351 + x[/tex]

Substitute [tex]y = \frac{1.05x}{0.90}[/tex]

[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]

[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]

Subtract x from both sides

[tex]\frac{0.9975x}{0.90} -x= 351[/tex]

Take LCM

[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]

[tex]\frac{0.0975x}{0.90}= 351[/tex]

Multiply both sides by 0.90

[tex]0.0975x= 315.9[/tex]

Divide both sides by 0.0975

[tex]x= 3240[/tex]

Hence, the cost price of the cycle is Rs.3240

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Answer:

combination

Step-by-step explanation:

permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.

I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge

The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.

We consider the group of 5 students can be selected to ride in a car instead of a van.

Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.

Therefore, the ways can be formulated as:

[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]

Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.

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Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

what are the answer choices?

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let's check all the options, then we have

A. S/3 + 10

If S = 15, then we have

⇒ 15 / 3 + 10

⇒ 5 + 10

⇒ 15

B. S/2 + 10

If S = 15, then we have

⇒ 15 / 2 + 10

⇒ 10 + 10

⇒ 20

C. S + 10

If S = 15, then we have

⇒ 15 + 10

⇒ 15 + 10

⇒ 25

D. - S/3 + 10

If S = 15, then we have

⇒ -15 / 3 + 10

⇒ -5 + 10

⇒ 5

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

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The missing options are given below.

A. S/3 + 10

B. S/2 + 10

C. S + 10

D. - S/3 + 10