help me with proofs please

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:

10*4-6*2=28

Step-by-step explanation:

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:

$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:

the answer is 4 years

Step-by-step explanation:

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:

the 3 and the 22 should be negative

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.

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 .

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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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: a = 75 b = 60

Step-by-step explanation:

b + 120 = 180

b = 60

a + 105 = 180

a = 75

Answer:

5/4 x 2/3

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

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:

  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: 80

Step-by-step explanation:

1 cm is 10 millimeters. 8*10 is 80

Africa and Asia

I did it today in my class

Answer:

a counter-clockwise 90 degree rotation about the origin

Step-by-step explanation:

Answer:

ANSWER IS C The transformation below that caused AB to transform into A'B' is a reflection across the y-axis

How to translate a coordinate point to another

Given the following coordinates

A = (6, 2)

B = (2, 6)

A' = (-6, 2)

B' = (-2, 6)

According to the reflection rule, the reflection over y axis is given as:

Note that the x-coordinate was negated as seen from the translation A to A' and B to '.

Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis

Learn more on transformation here: brainly.com/question/1462871

Step-by-step explanation:

[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:

a) 130m    b)1.3m/s²

Step-by-step explanation:

area under graph = distance

area of trapezium = a+b/2 x h

6+20/2 x 10

13 x 10 = 130m

acceleration = gradient

gradient = change in y/ change in x

4/3 = 1.3 m/s²

Answer:

153/4=38 Remainder 1

Answer:

38 r 1

Step-by-step explanation:

Hope this helped! Have a nice day!

:3

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:

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%.

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Answer:

Your answer would be:
C.) 4 - 12x

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x [tex]\leq[/tex]

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x [tex]\leq[/tex] $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x [tex]\leq[/tex] 400

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}

With respect to the diagram in question

Exterior Angle property

Exterior angle of triangle is equal to sum of two opposite interior angle .

[tex] \angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = \frac{ \cancel{125} {}^{ \: \: 25} }{ \cancel5} \\ x = 25[/tex]

For Angle A :- 3x-13

[tex] \angle A = 3x-13 \\ \angle A = 3(25)-13 = 75 - 13 \\ \angle A = 62 \degree[/tex]

Answer:

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4 so 21=3 people so whats 3 people x 4=12 so then times the shirts by 4

Whats 21 x 4=84 so there is your answer.

Hope it helps have a great day:)

The solution is, 84 long will it take 12 people.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4

so 21=3 people so whats 3 people x 4=12

so then times the shirts by 4

21 x 4=84 so there is your answer.

Hence, The solution is, 84 long will it take 12 people.

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