In the figure shown, what is the measure of angle 2, if
angle 4 = 120 degrees?

Answer:

22.5

Step-by-step explanation:

Radius = Circumference / (2*PI 3.14) = 22.5

Answer:

[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

Step-by-step explanation:

We are given that:
[tex]\displaystyle f(x) = 2x^3 + 6x^2 + 2x - 10 \text{ and } f(1) = 0[/tex]

And we want to find all zeros of f algebraically.

Since f(1) = 0, then (x - 1) is a zero of f.

We can hence factor by synthetic division:

[tex]\begin{table}[]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 6 & 2 & 10 \\ \cline{2-5} & 2 & 8 & 10 & -10 \\ & & & & \end{tabular}\end{table}[/tex][tex]\begin{tabular}{lllll}\multicolumn{1}{l|}{1} & 2 & 6 & 2 & -10 \\\multicolumn{1}{l|}{} & & 2 & 8 & 10 \\ \cline{2-5} & 2 & 8 & 10 & 0 \\ & & & & \end{tabular}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} f(x) & = 2x^3 + 6x^2 + 2x- 10 \\ \\ & = (x-1)(2x^2 + 8x + 10) \\ \\ &= 2(x-1)(x^2 + 4x + 5)\end{aligned}[/tex]

Therefore, by the Zero Product Property:
[tex]\displaystyle x-1 = 0 \text{ or } x^2 +4x + 5 = 0[/tex]

From the quadratic formula:

[tex]\displaystyle \begin{aligned}x & = \frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ & = \frac{-(4)\pm\sqrt{(4)^2 - 4(1)(5)}}{2(1)} \\ \\ &= \frac{-4\pm\sqrt{-4}}{2} \\ \\ &= \frac{-4\pm 2i}{2} \\ \\ & = -2\pm i \end{aligned}[/tex]

Therefore, all the zeros of f include:
[tex]\displaystyle x = 1, - 2 + i, -2 -i[/tex]

Answer:

C. [tex]5\frac{1}{2}[/tex]

Step-by-step explanation:

\$190 includes flat \$25 of editing charges.

->Charges of work on book project

= $190 - $25 = $165

Per hour charges = $30 (given)

No of hours = 165/30 = [tex]5\frac{1}{2}[/tex]

Refer to attachment for your answer

Answer:

76.3%

Step-by-step explanation:

If  korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850 then gross profit margin is 76.32%

Given that Last month, korey’s comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850.

We need to find the korey’s gross profit margin

The formula for gross profit margin is (Gross Profit / Net Sales) x 100%.

we can calculate Korey's gross profit margin as:

(Gross Profit / Net Sales) x 100%

= (3320 / 4350) x 100%

= 76.32%

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Answer:

Scatter plot because, A simply X-Y axis line graph is a good choice for this. I hope I could help.

The scatter plot display should used to records the height of a plant every day for a month.

Scatter plot is a "set of points plotted on a horizontal and vertical axes"

According to the question,

A graph to show how the plant's height changed over the month. A

scatter plots contain 'x' axis used to represent the heights of the plants and 'y' axis used to represent every day of a month  .

Hence, scatter plot display should used to records the height of a plant evert day for a month.

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Answer:

None

Step-by-step explanation:

If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.

Answer:

c

Step-by-step explanation:

Answer:

okay so I think the answer is C the average size of the seventh grade class I'd larger and varies more than that of a kindergarten class

Answer:

C.

Explanation:

If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!

Answer:

it must not be a parallelogram because it's angle is not supplementary

Answer:

I need a problem

Step-by-step explanation:

Please fix your question

Answer:

x = -1

Step-by-step explanation:

You have:

[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]

Multiply both sides by 'x' to get:

[tex]\frac{3x}{2x-1} =1[/tex]

Multiply both sides by (2x-1) to get:

[tex]3x=2x-1[/tex]

Subtract 2x on both sides to get:

[tex]x=-1[/tex]

9z

hope it reall helps...!!!

Answer:

77 - 8pi cm

Step-by-step explanation:

Area of Circle = 2pi*r^2 = 8pi cm

Area of rectangle = 7 X 11 = 77cm

Area of shaded region = 77cm - 8pi cm

Answer:

89.6^2 - hope this helped :)

Step-by-step explanation:

area of rectangle = 7 x 11 = 77 cm^2

area of circle = 2 x 2 x 3.14 = 12.56^ 2

all together = 89.56

rounded up = 89.6 cm^2

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

Answer:

17.9 m^3

Step-by-step explanation:

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

Step-by-step explanation:

I think it will help you.

The image above will help you

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

☆...hope this helps...☆

_♡_mashi_♡_

Answer: A. = 37,38,39,41,43,47,52,54

Step-by-step explanation:

The numbers to the left represent the tens place, and each number on the right represents a different ones place value (according to key.)

Therefore, we find a chronological list of numbers, such as:

37,38,39,41,43,47,52,54

This list is the answer Choice of A.

Hope this Helped!

Answer:

1. x² - 16x = -12

2. x² - 16x + 64 = -12 + 64

3. (x - 8)² = 52

4. x - 8 = ± √52

5. x = 8 ± √52

6. x = 8 ± 2√13

Step-by-step explanation:

1. Move the constant to the other side of the equation:

x² - 16x +12-12 = 0-12

x² - 16x = -12

2. Find the new value of c by using the formula [tex](\frac{b}{2} )^{2}[/tex]

[tex](\frac{-16}{2} )^{2}\\\\(-8)^{2} \\\\c =64[/tex]

3. Plug the new value of c into the equation. Make sure to add it to both sides of the equation, because if you do something to one side, you must do it to the other:

x² - 16x + 64 = -12 + 64

x² - 16x + 64 = 52

4. Form a perfect sqaure by factoring -16 and 64 by figuring out two numbers that have a sum of -16 and a product of 64:

-8 + (-8) = -16
-8 · (-8) = 64

(x - 8)²

Plugging this into the equation:

(x - 8)² = 52

5. Take the square root of both sides:

√(x - 8)² = √52

x - 8 = √52

6. Isolate x:

x - 8+8 = 2√52+8

x = 8 ± 2√52

52 can be squared, so:

x = 8 ± 2√13

hope this helps!

Answer:

7620

Step-by-step explanation:

A = P(1 + rt)

A = 6000(1 + (0.045 × 6)) = 7620

calculatorsoup

Answer:

a = - 2, b = 5

Step-by-step explanation:

expand the right side using FOIL and compare the coefficients of like terms on both sides.

(x + a)² + b

= x² + 2ax + a² + b

compare terms with x² - 4x + 9

coefficients of x- term

- 2a = 4 ( divide both sides by - 2 )

a = - 2

compare constant terms

a² + b = 9

(- 2)² + b = 9

4 + b = 9 ( subtract 4 from both sides )

b = 5

Answer:

I think this is the right answer.

Step-by-step explanation:

Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

Answer:

0.952

Step-by-step explanation:

Given :

Solving :

Answer:

4th option

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{80}{84}[/tex] ≈ 0.952 ( to 3 dec. places )

Answer:

22.9

Step-by-step explanation:

( just look up "diameter of a sphere caculator")

Answer: C

Step-by-step explanation:

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6  yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

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