In the triangle below, what is the length of the side opposite the 60° angle?

Answer:

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Step-by-step explanation:

A pentagon is a polygon with five sides. A regular pentagon have all the five sides equal in length and also all the five interior angles equal.

The perimeter of a pentagon = 5l

Nof for a pentagon train attached to 1 pentagon by its sides;

The perimeter = (5 × 1 - (1-1))

Perimeter = 5

For pentagon train attached to two pentagon

Perimeter = ( 5×2 - (2-1))

Perimeter = (10 1)

Perimeter = 9

For pentagon train with n pentagon

Perimeter = ( 5× n -(n-1))

Perimeter = 5n - n+1

Perimeter = 4n + 1

∴ For pentagon train attached to 85 pentagon; where n=85

Perimeter = 4 n + 1

Perimeter = (4 × 85)+1

Perimeter = 340+1

Perimeter = 341 inches

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Answer:

C. j + 6

Step-by-step explanation:

2(2j + 3) - 3j

multiply each term in the parentheses by 2

2 x 2j + 2 x 3

calculate the product

4j + 6 -3j

collect like terms by subtracting their coefficients

(4 - 3)j

then subtract the numbers

1j

when the term has a coefficient of 1, it doesn't have to be written

j

then plug in the other number and that's your answer

j + 6

Answer:

Step-by-step explanation:

C. j + 6

Hope this helps!! :)

Answer:

Quadratic Equations ⇒ D, E, F

Step-by-step explanation:

Let us say that each of these equations can only be defined as a quadratic equation if it can be factored / solved through completing the square / application of quadratic formula as solve for the value of x;

[tex]A. 2x - 1 = 0, Add + 1 to either side,\\2x = 1, Divide sides by 2,\\x = 1 / 2 ; Not Quadratic Equation[/tex]

[tex]B. 2x^2 - 1 = 0, Add + 1 to either side,\\2x^2 = 1, Divide sides by 2,\\x^2 = 2, Take | | of x, \sqrt{x} - either side \\\| x | = \sqrt{1 / 2},\\x = \sqrt{1 / 2} = - \sqrt{1 / 2} ; NotQuadraticEquation[/tex]

[tex]C. 2x^2 - 1, NotInForm - ax^2 + bx + x = 0 ; NotQuadraticEquation[/tex]

[tex]D. 3x^2 + 5x - 1 = 0, Add 1 to either side,\\3x^2 + 5x = 1, Divide sides by 3,\\x^2 + 5x / 3 = 1 / 3, Solve for a,\\2ax = 5 / 3x, Divide sides by 2x,\\a = 5 / 6, Add a^2 - ( 5 / 6 )^2 to either side,\\x^2 + ( 5x / 3 )^2 + ( 5 / 6 )^2 = 1 / 3 + ( 5 / 6 )^2, simplify,\\( x + 5 / 6 )^2 = 37 / 36, solve for x,\\x = ( \sqrt{37} - 5 ) / 6 = ( - \sqrt{37} - 5 ) / 6 ; QuadraticEquation[/tex]

[tex]E. x - x^2 + 5 = 0, Similar Form ; QuadraticEquation\\[/tex]

[tex]F. - 4x^2 + x = 0, Factor the Expression,\\- x * ( 4x - 1 ) = 0, Apply Zero Product Property,\\x = 0, and, 4x - 1 = 0,\\x = 0 = 1 / 4 ; QuadraticEquation[/tex]

The quadratic equations are:

2x² - 1 = 0

2x² - 1

3x² + 5x - 1 = 0

x - x² +5 = 0

-4x² + x = 0

Options B, C, D, E and F are the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

A.

2x – 1 = 0

This is not a degree 2 equation.

B.

2x² - 1 = 0

This has degree 2.

C.

2x² - 1

This has degree 2.

D.

3x² + 5x - 1 = 0

This has degree 2.

E.

x - x² +5 = 0

-x² + x + 5 = 0

This has degree 2.

F.

- 4x² + x = 0

This has degree 2.

Thus,

B, C, D, E,  and F are quadratic equations.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

Answer:

et's solve your equation step-by-step.

(x+3)2−1=35

Step 1: Simplify both sides of the equation.

x2+6x+8=35

Step 2: Subtract 35 from both sides.

x2+6x+8−35=35−35

x2+6x−27=0

Step 3: Factor left side of equation.

(x−3)(x+9)=0

Step 4: Set factors equal to 0.

x−3=0 or x+9=0

x=3 or x=−9

Answer:

x=3 or x=−9

Answer:

Add 1 to each side

Take the square root of each side

Subtract 3 from each side

Step-by-step explanation:

(x+3)^2  -1 = 35

Add 1 to each side

(x+3)^2  -1+1 = 35+1

(x+3)^2   = 36

Take the square root of each side

sqrt ((x+3)^2)   =±sqrt (36)

x+3 = ±6

Subtract 3 from each side

x+3-3 = -3±6

x = -3±6

x = -3+6          x = -3-6

x = 3                x = -9

Answer:

A=314 feet

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14*10^{2}[/tex]

[tex]A=3.14*100[/tex]

[tex]A=314 feet[/tex]

Answer:

Step 3  they took the square root incorrectly

Step-by-step explanation:

5 ( x-2)^2 +6 = 86

Subtract 6 from each side

5 ( x-2)^2 +6 -6= 86-6

5 ( x-2)^2  = 80

Divide each side by 5

5 ( x-2)^2  /5 = 80/5

(x-2)^2 = 16

Take the square root of each side

sqrt((x-2)^2)  = ±sqrt(16)

x-2 = ±4

Answer:

The value of [tex]j[/tex]:

[tex]j = -56[/tex]

Step-by-step explanation:

Solve for [tex]j[/tex]:

[tex]\frac{j + 42}{-7} = 2[/tex]

-Multiply both sides by -7:

[tex]j + 42 = 2 ( -7)[/tex]

[tex]j + 42 = -14[/tex]

-Subtract both sides by 42:

[tex]j + 42 - 42 = -14 - 42[/tex]

[tex]j = -56[/tex]

So, therefore, [tex]x = -56[/tex] would be the final answer.

Answer:

j = -47

Step-by-step explanation:

I think you meant  j + 42 - 2 = -7

So what I would do is first find the two number we know which would be

42 - 2 = 40

So, then the equation comes down to j + 40 = -7

So,

j = -47

Because = -47 + 40 = -7

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

10.5 cm

Step-by-step explanation:

Multiply the ratios by x

3x : 8x: 7x

Add the sides together

3x+8x+7x to get the perimeter

18x = 63

Divide each side by 18

18x/18 = 63/18

x =3.5

The shorter side is 3x

3*3.5=10.5 cm

Answer:

The correct answer is a) 0 and 1.

Step-by-step explanation:

By converting the fractions into decimals, we can see that -1/4 is equivalent to -0.25 and 3/2 equals 1.5. Therefore, anything with a value outside of -0.25 < x < 1 should be marked out. So, anything containing anything less than -0.25 cannot be considered (i.e., -1) and anything above one cannot be considered (i.e., 2). Therefore, the only option left is a) 0 and 1.

Answer:

a) 0 and 1

Step-by-step explanation:

the easiest way to think about this problem is using a number line to picture where the numbers are. I cant really do that easily on here but i will try my best to explain it with words.

If you think about where the numbers are on a number line you should see that -1/4 is slightly less than zero, which would put it to the left of zero.

Likewise, if you think about 3/2, which is equal to [tex]1\frac{1}{2}[/tex] it is slightly bigger than 1, which would put it to the right of 1 on a number line.

So if you think about the integers (which are numbers that can be positive or negative but do not involve decimals or fractions ex. -2, -1, 0, 1, 2 etc.) which are between those two numbers on the number line, the only integers are 0 and 1, which gives you your answer.

Answer:

The sine of cx in the triangle is the opposite side/the hypotenuse

sin(cx) = 7/25

sin(cx) = 0.28

cx = sin^-1 (0.28)

cx = 16.26 degrees

Answer:

[tex]n<\frac{29}{9}\\n<3.222222.....\\[/tex]

n ≈ 3

Step-by-step explanation:

9n-2<7+20

[tex]9n-2<27 \leftarrow \text {Combine Like Terms}\\9n-2+2<27+2 \leftarrow \text {Addition Property of Equality}\\9n<29\\\frac{9n<29}{9} \leftarrow \text {Divsion Property of Equality}\\\boxed{n<\frac{29}{9}}[/tex]

Answer:

≈82698.73 kg m²/s

Step-by-step explanation:

K.E.=1/2mv²=1/2×745×14.9²=82698.725 kg m²/s

Answer:it is 9 because you subtract 6 from the 8 and then you add 2 and 7 to get 9

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

Firstly, you would divide $1,200 by 15, which is 80.

This gives you the cost for each television including the additional $20.

Then, you would do 80-20 = 60 to find the cost of the individual television without the warranty.

Answer:

The volume of the box would be 6x³+33x²+54x+27.

Step-by-step explanation:

The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.

Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.

Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.

Answer:

6x³+33x²+54x+27

Step-by-step explanation:

dimensions are now:

x+3, 2x+3, 3x+3

Volume

Answer:

C and D

Step-by-step explanation:

since sqrt(4) = 2, we can replace all of the sqrt(4) in D to 2

Once we do that, it becomes

2 1

1 2

2 1

or C

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

what kind of graph

Answer:

A) this function has vertical asymptotes at an interval of π.

1/2 cosecx is the answer

Step-by-step explanation:

EDGE2020

Answer:

R=T

Step-by-step explanation:

We could say that the same symbol = makes it look like a true statement.

We could say that the same symbol makes us see a true statement.

In this case we are showing that R corresponds to T therefore it is true or confirmed, regardless of the value that R has.

Answer:

x^2+6x+9

Step-by-step explanation:

x^2 +6x

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

Add 9 to each side

x^2+6x+9

4^2 = 4 * 4.

4 * 4 = 16.

Therefore, p ^2 = 16.

Answer:

16

Step-by-step explanation:

i showed the work in the picture above

Answer: Verticals angles are when 2 line intersect at a point forms 2 pairs of angles. The pairs will be opposite of each other.

The picture I have attached should give a good representation of what I mean.

The A angles are the same and the B angles are the same in the picture.

Answer:

The Answer is D. because -4 passes trough the x intercept and -2 passes through the y

Step-by-step explanation:

Answer:

The answers are:

x-intercept = -4

y-intercept = -2

Step-by-step explanation:

According to the following to graph, you need to find the x-intercept and the y-intercept. The x-intercept, is when a line crosses the x-axis of the graph, and the y-intercept, is when a line crosses the y-axis of the graph.

Finding the x-intercept and the y-intercept:

x-intercept = -4

y-intercept = -2

Answer:

Option C on E2020

Step-by-step explanation:

just finished the test

Answer:

C

Step-by-step explanation:

Answer:

A) DEBBIE: 1p+4t=29

B) JOEY: 5p+2t=28

Step-by-step explanation:

Answer:

28°

Step-by-step explanation:

every Triangle equals to 180°

85+67=152

180-152=28

Answer:

[tex]0.2y+0.2x-8[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)[/tex]

[tex]=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2[/tex]

[tex]=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2[/tex]

[tex]\frac{2}{5}y-0.2y[/tex]

[tex]=y\left(\frac{2}{5}-0.2\right)[/tex]

[tex]\frac{2}{5}-0.2=0.2[/tex]

[tex]=0.2y[/tex]

[tex]=0.2y+\frac{1}{5}x-6-2[/tex]

[tex]\frac{1}{5}x[/tex]

[tex]=\frac{1\cdot \:x}{5}[/tex]

[tex]=\frac{x}{5}[/tex]

[tex]=0.2y+\frac{x}{5}-6-2[/tex]

[tex]=0.2y+0.2x-8[/tex]

Answer:

78 dollars

Step-by-step explanation:

Take the prices and multiply by the percent commission

778 * 10 %

Change to decimal form

778 * .10

77.80

Round to the nearest dollar

78

Answer:77.80

Step-by-step explanation:

Answer: A.

Step-by-step explanation:

yeet

Answer:

A.

Step-by-step explanation:

Because if you multiply out the top of the fraction to simplify it, it will equal zero. And zero divided by any number is equal to zero because no number fits into zero. So A. would be the best answer since you are multiplying an expression by zero on the top, and you can't get any number other then zero for the answer of the fraction. And 0 + 9.4 = 9.4.

Answer:

[tex]0.38 \times 22[/tex]

Step-by-step explanation:

The correct expression used to find 38 percent of 22 is

[tex]0.38 \times 22[/tex]