If you place a 28-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answer:

Step-by-step explanation:

w + a + d = 14

d = 3w

200w + 150a + 140d = 2230

w + a + 3w = 14

4w + a = 14      Eq. 1

200w + 150a + 140d = 2230

20w + 15a + 14(3w) = 223

62w + 15a = 223   Eq. 2

Eq. 1 & Eq. 2

4w + a = 14

62w + 15a = 223

-60w - 15a = -210

62w + 15a = 223

2w = 12

w = 6.5

A half a night is not allowed. Are you sure of rates in each city?

Is it Washington $200,

Dallas $140

Atlanta $150

It doesn't work.

[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]

Learn more on trigonometry identity here: https://brainly.com/question/7331447

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

Answer:

75

Step-by-step explanation:

hope this helps

Answer:

10*4-6*2=28

Step-by-step explanation:

Answer:

i think it is $106,800.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 60000(1 + (0.065 × 12)) = 106800

A = $106,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $60,000.00 at a rate of 6.5% per year for 12 years is $106,800.00.

The simple interest rate for this loan is 78%.

It is the interest calculated on the principal at a given rate for a time period.

We have,

If Steven borrows $60,000 at an interest rate of 6.5%, the total amount of interest he will pay over 12 years can be calculated as:

I = Prt

where I is the interest, P is the principal amount borrowed ($60,000), r is the interest rate as a decimal (0.065), and t is the time period in years (12). Substituting the given values, we get:

I = 60000 x 0.065 x 12

I = $46,800

The simple interest rate is the ratio of the total interest paid to the principal borrowed, expressed as a percentage:

simple interest rate = (total interest/principal borrowed) x 100

Substituting the given values, we get:

simple interest rate = (46800 / 60000) * 100

simple interest rate = 78%

Therefore,

The simple interest rate for this loan is 78%.

Learn more about simple interests here:

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#SPJ3

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

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.

To learn more about linear functions, please check: https://brainly.com/question/26434260

Africa and Asia

I did it today in my class

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.

Learn more about the employment compensation here;

https://brainly.com/question/17415754

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

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:

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:

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:

(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!

Step-by-step explanation:

Firstly take the unknown angle be x

now x + 138° = 180° {: linear pair}

x = 180-138

x = 42

now , angle 1+ angle x + 18 = 180 { because of angle sum property }

=> angle 1 +42 +18 = 180

=> angle 1 +60 = 180

=> angle 1 = 180-60

=> angle 1 = 120

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:

  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:

($29.698276497364876985)

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

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

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

Answer: 80

Step-by-step explanation:

1 cm is 10 millimeters. 8*10 is 80

Answer:

the answer is 4 years

Step-by-step explanation:

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:

5/4 x 2/3

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

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:

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.

hmm wait for my answer

Step-by-step explanation:

wait

Answer:  [tex]y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

=====================================================

Explanation:

The given slope is [tex]m = \frac{4}{3}[/tex] and the line goes through the point [tex](x_1,y_1) = (3,-1)[/tex]

This means [tex]x_1 = 3 \ \text{ and } \ y_1 = -1[/tex]

We will plug this information into the point-slope formula below and simplify.

[tex]y - y_1 = m\left(x - x_1\right)\\\\y - (-1) = \frac{4}{3}\left(x - 3\right)\\\\y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

We stop here since your teacher wants the answer in point-slope form. As the name implies, point-slope form is very handy to quickly spot the slope and a point on the line.

If your teacher wanted the answer in slope-intercept form, then you'd solve for y to get it into y = mx+b form.

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 .