What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4

Answer:

[tex] y = 9.1 [/tex]

Step-by-step explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

[tex] \frac{y}{sin(Y)} = \frac{x}{sin(X)} [/tex]

[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]

[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]

[tex] \frac{y}{0.961} = 9.434 [/tex]

Multiply both sides by 0.961 to solve for y

[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]

[tex] y = 9.434*0.961 [/tex]

[tex] y = 9.1 [/tex] (to nearest tenth)

Answer:

1. 24 x

Step-by-step explanation:

Area = (6x +1)(6x-1)

which means

length = 6x+1

width = 6x -1

as perimeter = 2 (length + width)

                     = 2 (6x +1+6x -1)

                     = 2(12x)

                    =24x

Answer:

Two figures are similar if they have the same shape:

For example, two rectangles are similar if the quotient between length and wide is the same.

Now, we know that one of the rectangles is 6cm by 4cm.

The quotient of the lengths is 6cm/4cm = 3/2

Here we have a problem; you wrote

" Another rectangle with adjacent

sides o on and x cm ....."

I guess that this means:

The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.

Now, if this new triangle is similar to the first one, then we must have;

If x > A.

x/A = 6cm/4cm = 3/2

x = (3/2)*A.

if x < A

A/x = 6cm/4cm = 3/2

x = (2/3)*A

There you have the two possible values of x, for a known A.

Answer:

The sampling method used is a stratified sampling method

Step-by-step explanation:

sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.

Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.

Answer:

your answer is incorrect.  The correct answer is  [tex]h=-13[/tex]  and [tex]k=13[/tex] .

Step-by-step explanation:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex] and a>0, then minimum value of the function at point [tex]\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex].

The given function is

[tex]f(x)=x^2+bx+182[/tex]

Here, a=1, b=b and c=182. So.

[tex]-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}[/tex]

Put [tex]x=-\dfrac{b}{2}[/tex] in the given function to find the minimum value of the function.

[tex]f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182[/tex]

We know that minimum value is 13. So,

[tex]13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182[/tex]

[tex]13-182=-\dfrac{b^2}{4}[/tex]

[tex]-169=-\dfrac{b^2}{4}[/tex]

[tex]169\times 4=b^2[/tex]

Taking square root on both sides.

[tex]13\times 2=b[/tex]

[tex]b=26[/tex]

The value of b is 26.

So, the given function is  

[tex]f(x)=x^2+26x+182[/tex]

Now, add and subtract square of half of coefficient of x.

[tex]f(x)=x^2+26x+182+(13)^2-(13)^2[/tex]

[tex]f(x)=(x^2+2(13)x+(13)^2)+182-169[/tex]

[tex]f(x)=(x+13)^2+13[/tex]

On comparing with [tex]f(x)=(x-h)^2+k[/tex], we get

[tex]h=-13[/tex]

[tex]k=13[/tex]

Therefore, your answer is incorrect.

Answer:

a. 46.9 m b. 56.1 m

Step-by-step explanation:

a. Width of the river

The angle of depression of the bottom of the second vertical cliff from the first vertical cliff = angle of elevation of the top of the first vertical cliff from the bottom of the second vertical cliff = 58°.

Since the height of the vertical cliff = 75.0 m, its distance from the other cliff which is the width of the river, d is gotten from

tan58° = 75.0 m/d

d = 75.0/tan58° = 46.87 m ≅ 46.9 m

b. Height of the second cliff

Now, the difference in height of the two cliffs is gotten from

tan22° = h/d, since the angle of depression of the top of second cliff from the first cliff is the angle of elevation of the top of the first cliff from the second cliff = 22°

h = dtan22° = 18.94 m

So, the height of the second cliff is h' = 75.0 - h = 75.0 m - 18.94 m = 56.06 m ≅ 56.1 m

Answer:

The answer is

Step-by-step explanation:

Area of a circle is given by πr²

Where r is the radius

From the question

Area = 64 ft²

So the radius is

64 = πr²

Divide both sides by π

[tex] {r}^{2} = \frac{64}{\pi} [/tex]

Find the square root of both sides

[tex]r = \sqrt{ \frac{64}{\pi} } [/tex]

r = 4 ft

Hope this helps you

The answer is 8 not 4.5 or 4!!!!!!!!

Step-by-step explanation: It's not just "64" its 64pi. when you posted the question your device could not put the pi symbol so people were thinking that it was just 64.

Answer:

A=24 CM²

Step-by-step explanation:

10 x 2 + x=28

20+x=28

x=8

a=b x h/2

a=6 x 8 / 2

a=24CM²

Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

[tex]tan(T) = UV / UT[/tex]

[tex]tan(T) = 21 / 20 = 1.05[/tex]

[tex]tan(X) = tan(T) = 1.05[/tex]

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

because x^{2} represents the quadratic equation, so I don't think it will affect it

You get everything you need from factoring the last expression:

[tex]x^4-y^4=-176\sqrt7[/tex]

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

[tex]x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)[/tex]

Plug in everything you know and solve for [tex]x-y[/tex]:

[tex]-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}[/tex]

Answer:

-2sqrt(7)

Step-by-step explanation:

Solution:

From the third equation, $x^4 - y^4 = -176 \sqrt{7}.$

By difference of squares, we can write

\[x^4 - y^4 = (x^2 + y^2)(x^2 - y^2) = (x^2 + y^2)(x + y)(x - y).\]Then $-176 \sqrt{7} = (22)(4)(x - y),$ so $x - y = \boxed{-2 \sqrt{7}}.$

Answer:

D. [tex] \frac{{7}^{11} }{ {4}^{11} } [/tex]

Step-by-step explanation:

[tex]( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }[/tex]

Since we are multiplying an exponential number to a fraction the answer is going to be

[tex] \frac{7 {}^{11} }{4 {}^{11} } [/tex]

Hope this helps ❤❤❤ ;)

Answer:

[tex]D. \frac{7^{11} }{4^{11} } \\[/tex]

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

[tex]a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}[/tex]

Step 1

All you have to do is identify and use the formula

let

[tex](\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\[/tex]

so, the answer is D.

I hope it helps, have a nice day

Answer:

The angles are

∠A = 90°, ∠B = 26.56°, ∠C = 63.43°

Step-by-step explanation:

We have that the angles of a vector are given as follows;

[tex]cos\left ( \theta \right ) = \dfrac{\mathbf{a\cdot b}}{\left | \mathbf{a} \right |\left | \mathbf{b} \right |}[/tex]

Whereby the vertices are represented as

A= (2, 5, 0), B = (4, 11, 0), C = (-1, 6, 0),

AB =(4, 11, 0) - (2, 5, 0) = (2, 6, 0) ,  BA = (-2, -6, 0)

BC = (-1, 6, 0) - (4, 11, 0) = (-5, -5, 0), CB = (5, 5, 0)

AC = (-1, 6, 0) - (2, 5, 0) = (-3, 1, 0), CA = (3, -1, 0)

θ₁ = AB·AC

a·c = a₁c₁ + a₂c₂ + a₃c₃ = 2×(-3) + 6×1 = 0

Therefore, θ₁ = 90°

BA·BC = (-2)×(-5) + (-6)×(-5) = 40

[tex]{\left | \mathbf{}BA \right |\left | \mathbf{}BC \right |}[/tex] = (√((-2)² + (-6)²)) × (√((-5)² + (-5)²)) = 44.72

cos(θ₂) = 40/44.72 = 0.894

cos⁻¹(0.894) =θ₂= 26.56°

CA·CB = 5×3 + 5×(-1) = 10

[tex]{\left | \mathbf{}CA \right |\left | \mathbf{}CB \right |}[/tex] = (√((3)² + (-1)²)) × (√((5)² + (5)²)) = 22.36

10/22.36 = 0.447

cos(θ₃) = 0.447

θ₃ = cos⁻¹(0.447) = 63.43°.

Answer:

-10=661.5

-1=6.7

0=4.0

1=2.4

2=1.4

8=0.1

(0,4)

Step-by-step explanation:

The y intercept is (0,4)

A function is a law that relates a dependent and an independent variable.

The function is g(x) = 4 (0.6)ˣ

The table shows the value of x

The value of g(x) at different value of x is

At x = -10

g(x) = 661.5

At x = -1

g(x) = 6.7

At x = 0

g(x) = 4

At x = 1

g(x) = 2.4

At x = 2

g(x) = 1.4

At x = 8

g(x) = 0.1

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Answer:

14 paychecks

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

Therefore , he must save for 14 paychecks

Hope this helps and pls mark as brainliest :)

Answer:

14

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Hope this help

Mark me BRAINLIEST

Tysm

Answer:

rhombus and square

Answer:

Rhombus and square

Step-by-step explanation:

The quadrilaterals that satisfy this condition are rhombi and squares.

Answer:

Hey there!

That would be the square root of 36, or 6.

Hope this helps :)

Answer:

The amount of water in gallons, w, is the dependent variable.

The time in minutes, m, is the independent variable.

Step-by-step explanation:

The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.

Hope that helps.

Answer:

The height of the tree = 15.59m

Step-by-step explanation:

let's make the height of the tree = x

tan30=x/27

x = 27 x tan30

x = 15.59m

Answer: 135

Step-by-step explanation:

took it on edg2020

Answer:

135

Step-by-step explanation:

Just took the test and got it right

In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.

First, let's set up and solve the equation for 18% of q is 27.

18 / 100 = 27 / q

100q = 486

q = 4.86

Next, we'll find the value of 2q.

2(4.86) = 9.72

Finally, we'll set up a proportion and solve for 27% of 2q.

27 / 100 = x / 9.72

100x = 262.44

x = 2.6244

If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).

Hope this helps!! :)

Answer:

Step-by-step explanation: Let's first find the value of q

[tex]18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\[/tex]

Now we can find 27% of 2q

[tex]27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81[/tex]

a. true

b. false ( angles should equal 180 125+65=190)

c. true

d. true

e. true

5c-4c+c=2c

Step-by-step explanation:

Since there is only addition and subtraction and no other operations, just work from left to right.

5c-4c = c

c+c=2c

Done!

Answer:

2c

Step-by-step explanation:

Because this whole equation consists of numbers with c's and addition and subtraction, you can just add and subtract as if they were regular numbers!

5c-4c+c

c+c

2c

Hope this helped!! :)

Answer:?

Step-by-step explanation:

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party?

(1) The Russo party had 31 more adults than children, and 47 more adults than did the Patel party.

(2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.

Answer: Let the number of children in Russo party be x, The Russo party had 31 more adults than children, therefore the number of adults at the Russo party = x + 31. The ratio of adults to children at the Russo party was 5 to 4, we can find the number of children using:

[tex]\frac{5}{4}=\frac{x+31}{x}\\ 5x=4x+124\\x=124[/tex]

The number of children at the Russo party is 124 and the number of adult is 155 (124 + 31).

They  are 47 more adults at the Russo party than the Patel party, the number of adult at the Patel party = 155 - 47 = 108

the ratio of adults to children was 8 to 5 at the Lopez party, There were 152 adults at the party. Let x be the number of children at the Lopez party therefore:

[tex]\frac{8}{5}=\frac{152}{x}\\ 8x=760\\x=95[/tex]

The Patel party had 40 more children than the Lopez, the number of children at the Patel party = 135 (95 + 40).

The ratio of adults to children at the Patel party is [tex]\frac{108}{135} =\frac{4}{5}[/tex]

Answer:

  19.45°

Step-by-step explanation:

Suppose the post is 1 unit high. Then the distance from the post to another corner of the rectangle will satisfy the relation ...

  distance/1 = tan(90° -angle of elevation)

So, for the near corner, the distance from the post is ...

  distance = tan(90° -36°) = tan(54°) = 1.37638 . . . post lengths

For the other given corner, the distance from the post is ...

  distance = tan(90° -22°) = tan(68°) = 2.47509 . . . post lengths

The Pythagorean theorem can be used to find the distance from the post to the diagonally opposite corner:

  distance^2 = 1.37638^2 +2.47509^2 = 8.02048

  distance = √8.02048 ≈ 2.83205

The relation of this to the angle of elevation is ...

  tan(angle of elevation) = 1/2.83205

  angle of elevation = arctan(1/2.83205) ≈ 19.45°

_____

In the attached diagram, we have used segments BP and CP as surrogates for the post, so we could determine distances PD and PE that are the sides of the rectangular courtyard. Then the courtyard diagonal is PF. Using PA as a surrogate for the post, we found the angle of elevation from F to A (the top of the post) to be 19.45°, as computed above.

Answer:

7.

Step-by-step explanation:

15 - [7 + (-6)+ 1]^3

Using PEMDAS:

= 15 - [ 7-6+1]^3

Next work out what is in the parentheses:

= 15  - 2*3

Now the exponential:

= 15 - 8

= 7.

Step-by-step explanation:

Hi,

I hope you are searching this, right.

=15[7+(-6)+1]^3

=15[7-6+1]^3

=15[2]^3

=15-8

=7...is answer.

Hope it helps..

Answer: 15 cm

Step-by-step explanation:

For this problem, we can use the Pythagorean Theorem.

The legs of the triangle are 9 cm and 12 cm.

According to the theorem...

[tex]9^{2} +12^{2} =c^{2}[/tex], c being the hypotenuse.

[tex]81+144=225[/tex]

[tex]c^{2} =225\\\sqrt{225} =15[/tex]

Therefore c=15.

Answer:

15

Step-by-step explanation:

You need to find one of the other angle measures first, I will be solving for the top angle.

To find this you need to take the inverse tangent of the opposite length over the adjacent length, in this case it would be 12 over 9

tan^-1 (12/9)      

=53.1. round to the nearest degree so 53

now that you have your angle measure you can take the sine of that angle

for sine you do opposite over hypotenuse, we dont know the length of the hypotenuse so use x

sin(53) = 12/x

0.79 = 12/x  don't round the answer to sin(53) wait till the end to round and just use your calculator to remeber the exact number

0.79 = 12/x

•x          •x   multiply both sides by x

0.79x = 12

/0.79     /0.79    divide both sides by 0.79 this is when you would use the calculator to enter in the exact number not just 0.79

x = 15.02 now you can round to the nearest tenth or whole number for this one it would just be 15

x=15

Answer:

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.