Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-2x   -2x

6=-x-4

+4    +4

10=-x

-1    -1

-10=x

[tex] \Large{\boxed{\sf x = 10}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 2(x + 3) = x - 4 [/tex]

[tex] \\ [/tex]

Expand the left side using the following distributive property:

A(B + C) = AB + AC

[tex] \\ [/tex]

Here, A = 2, B = x, and C = 3.

We get:

[tex] \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 [/tex]

[tex] \\ [/tex]

Now, subtract 6 from both sides:

[tex] \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 [/tex]

[tex] \\ [/tex]

Subtract x from both sides :

[tex] \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

3x + 12

Step-by-step explanation:

This is an 'expression'  ...there is no 'answer'  but it can be re-arranged

3(x+4) =   3 * x  +  3 * 4 =   3x + 12

Hey there!

3(x + 4)

= 3(1x + 4)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(1x) + 3(4)

= 3(x) + 3(4)

= 3x + 12

Therefore, the answer should be:

3x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

hope this will help you ( ◜‿◝ )♡

Step-by-step explanation:

[tex]volume = \frac{4}{3} \times \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times ( {10}^{3} ) \\ = 4186.666mm {}^{3} [/tex]

[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Instead of π we are asked to use 3.14

Substitute the values according to the formula.

[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]

Calculator value:

[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]

Now, we have to round off to the nearest hundredth.

The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]

Hence, the volume of the given sphere is 4186.67 cubic millimeters.

Answer:

[tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]

Step-by-step explanation:

A complex number in polar form is [tex]z=r(\cos\theta+i\sin\theta)[/tex] where [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)[/tex], thus:

[tex]r=\sqrt{x^2+y^2}=\sqrt{(\frac{5\sqrt{3}}{4})^2+(-\frac{5}{4})^2}=\sqrt{\frac{75}{16}+\frac{25}{16}}=\sqrt{\frac{100}{16}}=\frac{10}{4}=\frac{5}{2}[/tex]

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)=\tan^{-1}\biggr(\frac{-\frac{5}{4}}{\frac{5\sqrt{3}}{4}}\biggr)=\tan^{-1}\biggr(-\frac{\sqrt{3}}{3}\biggr)=\frac{11\pi}{6}[/tex]

Thus, the complex number in polar form is [tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]

Answer:

4(3)(-2) = -24

Answer:

C) -24

Step-by-step explanation:

Given the expression: 4xy

Substitute the values above for the variables and multiply:

4(3)(-2)

12(-2)

-24

Final answer: -24

Hope this helps!

Answer:

I hope you know what a rectangle is, but it is true.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Use the Intersecting Chords Theorem to solve for x:

[tex]\overline{\rm TP}\cdot\overline{\rm PR}=\overline{\rm QP}\cdot\overline{\rm PS}\\\\(x+3)(x)=(6-x)(2x)\\\\x^2+3x=12x-2x^2\\\\3x^2+3x=12x\\\\3x^2-9x=0\\\\3x(x-3)=0\\\\x=0,\: x=3[/tex]

The solution [tex]x=0[/tex] however, does not make sense because the chords have lengths, so [tex]x=3[/tex] is the only sensible answer.

Intersecting Chords Theorem States:

As Length cannot be zero or negative here. x = 3

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

Answer:

Then numbers 7 , 8 , 14 , -6 , 10 are output values of the function

Answer:

1.5 Oz because it's just a random guess hopefully I'm right

I think

Answer:

18.7 units

Step-by-step explanation:

Diagonal² = 1² + 1²

                 = 2

[tex]\sf diagonal = \sqrt{2} = 1.41\\[/tex]

Perimeter = 3 + 3 + 9 *1.41

                =  3 + 3 + 12.69

                = 18.7 units

Answer:

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

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. [tex]y = 2x + 3[/tex] becomes [tex]x = 2y + 3[/tex]. Now, solving for y, we get [tex]y = \frac{x - 3}{2}[/tex].

hope this helped! :)

Answer:

38cm

Step-by-step explanation:

set 3x-5 and 19-x equal to eachother, since, given as its an isoscles triangle, they should be equal. After you work out the equation, you're left with x=6. So now you plug that it.

3(6)-5=13

19-(6)=13

2(6)=12

Now you add them all together, so the perimeter is 38 cm.

Answer:

there is the answer to your question

Answer:

its 1.6

Step-by-step explanation:

2 squared minus 1.2 squared is 2.56

the square root of that is 1.6

If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.

The insurance premium is calculated using some set formulas determined by these factors:

Insurance premium rate = $0.37 per $100

Current insurance premium = $1,106.30

Added value to the house = $50,000

Added premium = $185 ($50,000 x $0.37/$100)

New insurance premium = $1,291.30 ($1,106.30 + $185)

Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

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Answer:

it's C......................

Step-by-step explanation:

i got 100% on egde

Quarts they pick altogether 173/24 quarts.

A unit of volume or capacity in the US Customary System, used in liquid measure, equal to 2 pints or 32 ounces (0.946 liter).

Jennifer picked= 1 5/6= 11/6 quarts

Lila picked= 7/4 quarts

Elliott picked =3/2 quarts

Wendie picked= 17/8 quarts

Total quarts they picked together is= 11/6+7/4+3/2+17/8

                                                           = 44+42+36+51/24

                                                           = 173/24 quarts

Hence, they picked 173/24 quarts together.

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Answer:

Below.

Step-by-step explanation:

(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.

(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.

Answer:

x ≥ - 1

Step-by-step explanation:

the solid circle above - 1 on the number line indicates that x can equal - 1

the arrow points right indicating x is greater than or equal to - 1 , that is

x ≥ - 1

Answer:

Step-by-step explanation:

Here's the table!

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From this we can see that there are

Because matrix A has 3 rows, and matrix B has 2 columns, matrix C will be a 3x2 matrix. 3 rows, 2 columns.

Answer:

it is c I hope this helps you.

Answer:

417

Step-by-step explanation:

372+45 = 417

Just add both gram values

Answer:

y=1, x=3   or (3,1)

Step-by-step explanation:

when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.

Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.

The solution for the given linear system from the elimination method is x=3 and y=1.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

-2x+4y=-2 (1)

2x+3y=9   (2)

You should sum the equations 1 and 2, for eliminate the variable x.

-2x+4y+2x+3y=-2+9

7y=7

y=1

If y=1 from equation 2, you have:

2x+3*1=9

2x+3=9

2x=9-3

2x=6

x=3

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Answer: 31.0

Step-by-step explanation:

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.