18. Write an expression to represent the perimeter of the figure below.

Answer:

3/5

Step-by-step explanation:

We can find ∅ by using the tangent function since we have the opposite and adjacent sides of ∅.

tan(∅)=1/2

tan^-1(tan(∅))=tan^-1(1/2)

∅=26.57

Since we are looking for cos(2∅), then we have cos(2(26.57))=cos(53.14)≈0.6

So the exact value is 3/5

Answer:

455

Step-by-step explanation:

I answered first, but forgot to answer here.

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

3.14 x 4^2 x 15 = 753.6/3 = 251.2

If you're using π as your pi, than just replace 3.14 by π on calculator

Hope that answers your question

Answer:

Correct

Step-by-step explanation:

The given expression is : 4n - 2

Chris says that the expression (4n-2) can be written as 2(2n - 1).

Taking 2 common on the given expression.

(4n-2) = 2(2n-1)

Hence, he has wrote it in a correct way.

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

Answer:

for first one

relationship between base and perpendicular is given by tan angle

tan24=p/b

tan24=x/12

x=tan24×12=5.34

Step-by-step explanation:

for second one

relationship between base and perpendicular is given by tan angle

tan72=x/20

x=tan72×20=61.55

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Answer:

Step-by-step explanation:

yes congruent, by AAS

the angles are stating , w/ the little red lines that they are the same.. so we know two angles of the triangles are the same, and we also know that one side touching is the same.   so yes.. AAS.  

Answer:

See answers below

Step-by-step explanation:

Equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Given the line y = x

The slope of the line is 1.

The slope of the line perpendicular is M = -1

Given the point (2,2)

x0 = 2 and y 0 = 2

Substitute

Recall y-y0 = m(x-x0)

y - 2 = -1(x-2) (Point slope form)

Express in slope intercept form;

y - 2 = -1(x-2)

Make y the subject of the formula;

y -2 = -x + 2

y = -x + 2 + 2

y = -x + 4 (slope intercept form)

The general form of linear equation is expressed as the slope intercept form which is y = -x+4

let y = f(x)

f(x) = -x+4

f(x) = 4-x (Linear equation)

Answer:

Step-by-step explanation:

4

Answer:

I hope that is useful for you :)

Step-by-step explanation:

[tex]15 - 1.5y + 7.5 - 7.5 \\ 15 - 1.5y \\ 1.5(10 - y)[/tex]

Answer:

2/7

Step-by-step explanation:

Step-by-step explanation:

jJJshzysyqvsudishw wjs87eye

Given:

The system of equation is

[tex]2x+y=8[/tex]

[tex]x-y=10[/tex]

To find:

The value of the system determinant.

Solution:

If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is

[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]

[tex]D=a_1b_2-b_1a_2[/tex]

The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].

Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].

[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]

[tex]D=(2)(-1)-(1)(1)[/tex]

[tex]D=-2-1[/tex]

[tex]D=-3[/tex]

The value of the system determinant is -3. Therefore, the correct option is C.

Answer:

-3

Step-by-step explanation:

2x+-3=8

x-3=10

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

This can be further simplified if required

Answer: $28

Step-by-step explanation:

Answer:

119

Step by Step:

180-112=68, 68+51=119, 180-119=61, 180-61=119

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Answer:

17 i think

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

By geometric mean theorem:

[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

Answer:

(x-5)

Step-by-step explanation:

Factors to be (x-5)^2 so each side is (x-5)

Answer:

decimal system

..........

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

$13777.00

Step-by-step explanation:

Answer:

a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3

Step-by-step explanation:

Answer:

R: (-3, -4)

S: (-3, -1)

T: (1, -4)

Step-by-step explanation:

You would subtract 1 from all the initial x values, and 5 from all the initial y values