a 65 foot ladder is leaning against a well. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?

[tex] \huge \mathbb{\green{\fbox{\pink{ANSWER}}}} [/tex]

[tex] \\ \: \: \implies \: sin^{4} \: \theta + cos^{4} \: \theta \rightarrow \blue{ \frac{1}{2} } [/tex]

[tex] \\ \\ \: \large \mathfrak \green{Solution} : [/tex]

[tex] \\ \bf \: Given : [/tex]

[tex] \\

\sf \: \: \bf sin \: \theta - cos \: \theta = 0 [/tex]

[tex] \\ \sf \rightarrow \: sin \: \theta = cos \: \theta [/tex]

[tex] \\ \sf \rightarrow \: \frac{sin \: \theta} {cos \: \theta} = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = tan \: 45 \degree [/tex]

[tex] \\ \sf \rightarrow \: \theta = 45 \degree [/tex]

[tex] \\ \\ \therefore \: sin^{4} \: \theta + cos^{4} \: \theta [/tex]

[tex] \\ \sf \rightarrow \: sin^{4} \: 45 \degree + cos^{4} \: 45 \degree [/tex]

[tex] \\ \\

\sf \rightarrow \: (\frac{1}{ \sqrt{2} } ) ^{4} +(\frac{1}{ \sqrt{2} } ) ^{4} [/tex]

[tex] \\ \sf \rightarrow \: ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} + ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} [/tex]

[tex] \\ \\

\sf \rightarrow \: \frac{1}{2} × \frac{1}{2} + \frac{1}{2}× \frac{1}{2} [/tex]

[tex] \\ \\ \sf \rightarrow \: \frac{1}{4} + \frac{1}{4} [/tex]

[tex] \\ \\ \sf \rightarrow \: {\cancel \frac{2} {4}}[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \fbox{\pink {\frac{1}{2}}} [/tex]

The value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

Given the expression

sin θ – cos θ = 0

This can be simplified further as:

sin θ = cos θ

sin θ/cosθ = cosθ/cosθ
tanθ = 1

θ = arctan(1)

θ = 45 degrees

To evaluate [tex]sin^4\theta+cos^4 \theta[/tex], substitute the value of theta into the expression to have:

[tex]sin^4\theta+cos^4 \theta\\=sin^445+cos^4 45\\=(\frac{1}{\sqrt{2}} )^4+(\frac{1}{\sqrt{2}} )^4\\=2(\frac{1}{(\sqrt{2})^4} )[/tex]

Hence the value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

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The total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

Total employment compensation is equal to the sum of gross pay and employment benefit subtracted with any job expenses.

Trevor’s total employment compensation is $33,500. Trevor has no job expenses and his gross pay is $28,600.

Let the total employee benefits is x. Therefore, using the above definition of total employment compensation,

[tex]33500=28600+x-0\\[/tex]

Solve it for x as,

[tex]x=33500-28600\\x=4900[/tex]

In the percentage form,

[tex]x=\dfrac{4900}{28600}\times100\\x=17.1\%[/tex]

Hence, the total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

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Answer:

please see the analysis

Step-by-step explanation:

Solution:

the Integer between [tex]-3So [tex]Z=-2 , -1 ,[/tex]

So [tex]P=\left\{-2\middle|-1\right\}[/tex] {write all the value of Z}

Answer:

5/4 x 2/3

it just means take the 1 and make it 4/4 instead then add the other 1/4

Answer:

660

Step-by-step explanation:

33/0.05

Answer:

100 feet in length

Step-by-step explanation:

Given the following question:

[tex]A=s^2[/tex]

In order to find the area of the square we have to multiply two of the lengths by itself.

[tex]A=s^2[/tex]
[tex]A=100^2[/tex]
[tex]A=100\times100[/tex]
[tex]100\times100=10000[/tex]
[tex]=10000ft^2[/tex]

Which means one side of the given square is "100 feet."

Hope this helps.

Answer:

$6,480

Step-by-step explanation:

[tex]180(12)(3)=6,480[/tex]

Hope this helps

Answer:

#540

Step-by-step explanation:

Alan saved $180 in each month

and we have 12 months in a year so we say

$180=12

x=36

here we cross multiply then we have 180 * 36 which is equal to $6480 after that we divide it by 12 and that's $540

Note: I got 36 months because 12 months in a year so multiply by three years that's 36 months

Answer:

18

Step-by-step explanation:

1/2 x 12 x 3

1 x 12 x 3/2 -divide all by 2

12 x 3/2 - simplify

36/2

answer: 18

2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The measure of x is 50.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

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#SPJ2

Answer:

  90° CCW

Step-by-step explanation:

The angle from C to the origin to C' is a right angle when measured counterclockwise (in the usual direction).

ΔA'B'C' is a rotation of ΔABC 90° CCW.

__

This is fully equivalent to a rotation of 270° CW.

Answer:

Answer:1200

Step-by-step explanation:

Consider the cost price to be x.

1st equation x - (15/100)x = x + (20/100)    ...15% discount and gain of 20%

2nd equationx - (25/100)x = x + 120           ....25% discount and a gain of 120Rs

Solving above equations by subtracting we get

(10/100)x = (20/100)x - 120

Solving LHS and RHS..(10/100)x =120

x=1200

Answer:

(x,y)=(-5,5)

Step-by-step explanation:

[tex]10x + 8y = -10\\\underline{7x + 10y = 15}\\-44y=-220\\y=\cfrac{220}{44} \\y=5[/tex]

[tex]10x+8y=-10\\10x+8\times 5=-10\\10x+40=-10\\102=-10-40\\10x=-50\\x=-50/10\\x=-5[/tex]

Hope it helps!

Answer:

$80.75 dollars

Step-by-step explanation:

Given the following question:
Initial price = $95
15% discount

In order to find the answer, we have to find 15% of 95.

[tex]\frac{15\times95}{100} =15\times95=1425\div100=14.25[/tex]
[tex]95-14.25=80.75[/tex]
[tex]g=80.75[/tex]

The guitar (after a 15% discount) costs "$80.75 dollars."

Hope this helps.

Answer:

The way I learned was by determining the denominator such 7/10 would be 0.7 because 7 is located in the tenths place.

/G/To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100 .

Africa and Asia

I did it today in my class

Answer:

75

Step-by-step explanation:

hope this helps

Answer:

the answer is 4 years

Step-by-step explanation:

Answer:

5 cm by 4 cm

Step-by-step explanation

A = L x W    20 = L x W

P = 2L + 2W    (18 = 2L + 2W)/2

9 = L + W      W = 9 - L

20 = L (9 - L)    20 = 9L - L^2

L^2 - 9L + 20 = 0    (L - 4)(L - 5) = 0

L = 4  L = 5

The longer one is the length, so L = 5, and W = 4.

Answer:

[tex]\frac{63}{3} = 21[/tex]

So in every 1min he eat 21 hotdogs

in 3min he can eat 63 hotdogs

in 4min he can eat 84

because 21 + 21 + 21 + 21 = 84

Answer:

Question 3 - true

Step-by-step explanation:

It is onto function.

Answer:

26.44%

Step-by-step explanation:

The change in temperature is:

1535 - 1214 = 321

This change represents a percent increase:

321/1214*100% = 26.44% (rounded)

Answer:

Step-by-step explanation:

2x+2=3x-52

2+52=3x-2x

54=x

Answer:

correct

as if 0 , =>0+5<6

if 1 , =>1+5=6

< or = is acceptable

Answer:

Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]

Equation of the line: [tex]y=mx+b[/tex]

Add in the slope in place of ([tex]m[/tex])

[tex]y=-1x+b[/tex]

Add in the x value of the given point in place of ([tex]x[/tex])

[tex]y=(-1)\frac{1}{2}+b[/tex]

Add in the y value of the given point in place of ([tex]y[/tex])

[tex]0=(-1)\frac{1}{2} + b[/tex]

—

Solve:

[tex]0=(-1)\frac{1}{2} +b[/tex]

Multiply -1 and [tex]\frac{1}{2}[/tex]

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

So,

[tex]0=-\frac{1}{2} +b[/tex]

Now, add [tex]-\frac{1}{2}[/tex] to 0

      [tex]0=-\frac{1}{2} +b[/tex]

     [tex]+\frac{1}{2}[/tex]   [tex]+\frac{1}{2}[/tex]

---------------------------

     [tex]\frac{1}{2} = b[/tex]

Replace ([tex]b[/tex]) with [tex]\frac{1}{2}[/tex]

Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

-15

Step-by-step explanation:

it is subtracting by 2

Answer:

($29.698276497364876985)

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Given the second difference, the table is quadratic.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2. A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is 2x² + 10x + 25.

First differences:

21 - 11 = 10

35 - 21 = 14

53 - 35 = 18

75 - 53 = 22

Due to the fact that the first difference is not the same, the function is not a linear function.

Second difference:

14 - 10 = 4

18 - 14 = 4

22 - 18 = 4

Due to the fact that the second difference is fairly constant, the function is a quadratic function.

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Answer:

see explanation

Step-by-step explanation:

A) 1.25x is the equation. 10-5/8-4= 5/4. and so it is 1.25 for the slope.

B) 1.25(-4)= $-5

C) it does not make sense since you cannot have negative bags of candy