Answer please.............

Answer:

a). Yes. Area will be less than 100 square in.

b). Area of octagon = 82 in²

Step-by-step explanation:

From the picture attached,

a). Octagon is inscribed in a square having one side = 10 inches.

Since, octagon is obtained by cutting off the four equal corners of the square,

Area of octagon will be less than the area of the square.

Area of square = (side)²

                         = 10²

                         = 100 in²

Therefore, area of octagon will be less than 100 in²

b). Since, corner cut off from the square are equal in shape and area,

   Area of one corner (right angle triangle) = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                                      = [tex]\frac{1}{2}(3)(3)[/tex]

                                                                      = 4.5 in²

   Area of 4 corners = 4.5 × 4 = 18 in²

   Area of octagon = Area of square - Area of 4 corners removed

                               = 100 - 18

                               = 82 in²

The area of the rectangle is 44 square inches larger than the area of the square.

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

Learn more about the Area of the rectangle here:

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Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

Answer:

( -1, 2)

Step-by-step explanation:

Since this is asking for elimination, you will need to line up x or y to be the opposite amount:

-3x -5y = -7

-4x + 5y = 14

(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)

Next step is to add both equations up to eliminate y and to find x:

-7x = 7

x = -1

After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.

If you chose to do equation 1:

-3(-1) -5y = -7

3 -5y = -7

-5y = -10

y = 2

If you chose to do equation 2:

-4(-1) + 5y = 14

4 + 5y = 14

5y = 10

y = 2

After finding x and y, you will find the point ( -1, 2)

Answer:

[tex]D. k \leq -25[/tex]

Step-by-step explanation:

[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]

Answer:

D. k≤ - 25  

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Answer:

Y Intercept : (-3, 0)

X Intercept : (0, -1.2)

Answer: The line representing the function has its y-intercept at 40. So, the initial value of the function graphed is 40.

Step-by-step explanation:

The equation of the line passing through the points (-2,3) and (-3,5) will be 2x + y + 1 = 0 and the rate of change is negative 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear function passes through the points (-2,3) and (-3,5). Complete the following tasks to find the equation of the function.

Then the equation of the line passing through the points (-2,3) and (-3,5) will be

[tex]\begin{aligned} y - 5 &= \dfrac{5-3}{-3 + 2} (x + 3)\\\\y - 5 &= -2 (x + 3)\\\\y - 5 &= -2x -6\\\\2x + y + 1 &= 0 \end{aligned}[/tex]

The rate of change is negative 2.

More about the linear system link is given below.

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Answer:

40 miles per hour.

Step-by-step explanation:

100 miles/2.5 hours = 40 miles per hour.

I might be wrong though.

Answer:

x + y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

x + (x - y) + y + (y - x)

Step 2: Simplify

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

Step-by-step explanation:

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.  

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

Answer:

y=2x is it I think because the y intercept is the origin

Answer:

Length 3

Width 3

Height 4

Step-by-step explanation:

Length x Width x Height

3 x 3 x 4 = 36 cm :)

Answer:

Combinations could include:

2, 3, 6

6, 6, 1

3, 3, 4

4, 9, 1

Answer:

Step-by-step explanation:

Dear Ms Striclend,

I don’t think you meant to, but you made a mistake putting in the value for the computer system. Can you please explain to me how you made the mistake?

Thanks!

my name

Answer:

1/5

Step-by-step explanation:

The volume is found by multiplying the height, width, and length. So to find the height, you need to divide 1/100 by 1/4 and 1/5.

1/100 divided by 1/5 = 1/20

1/20 divided by 1/4 = 1/5

Hope this helps :)

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

Answer:

Angle R is equal to 35 and DE is equal to 48

Step-by-step explanation:

In similar triangles, like these, the angles will always be the same to its correspondent. Angle E in the other triangle is 35 degrees so R, its corresponding angle, will be the same. So therefore R is 35.

This is not the same case for sides. There will always be a ratio between both triangles. The ratio in this case is 1.2 to 1. So multiply RP (DE's corresponding side), by 1.2. You will get 48. So therefore DE is equal to 48.

Hope this helped! Please mark me as brainliest!

Answer:

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Step-by-Step Explanation:

1 kilometer = 0.62137119 mile(s)

4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers

4,200 meters = 4.2 kilometers

670,000 centimeters = 6.7 kilometers

So,

Michelle = 2.8 kilometers (rounded up)

Kelly = 5.6 kilometers

Staci = 4.2 kilometers

Kyle = 6.7 kilometers

So,

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Hope this helps! ^^

Answer: [tex]\dfrac14[/tex]

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = [tex]\dfrac{x}{4x}=\dfrac14[/tex]

Hence, the probability that a randomly selected candy is orange = [tex]\dfrac14[/tex]

Answer:

x ≤ 9

Step-by-step explanation:

First, Isolate the variable by subtracting 8.

1/3x<= 3

Multiply both sides by 3

x<= 9

Answer:

x≤9

Step-by-step explanation:

Step 1: Subract 8 from both sides.

1/3x+8-8≤11-8

1/3x ≤3

Step 2: Multiply both sides by 3.

3*(1/3x)≤(3)*(3)

x≤9

Answer:

20%

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."

Answer:

18x-15

Step-by-step explanation:

Answer:

I got B

75+20+85=180

Answer:

RT is corresponding to TY

Hence, we conclude that:

Step-by-step explanation:

Given

△RST ≅ △TXY

It means the triangles △RST and △TXY are congruent to each other.

We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that:

We need to determine RT

as

RT is corresponding to TY

i.e. RT = TY

Hence, we conclude that:

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

A. AAS(Angle-Angle-Side)

Step-by-step explanation:

From the image, you can already see 1 angle and 1 side measured.

But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.

So in total, we have 2 angles and 1 side congruent to each other,

<KLJ and <MLN

<LKJ and <LMN

KJ and MN

From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.

Hope I was able to help! Good Luck!

Answer:

The answer is 3 :D

pls give brainliest

27*9=3

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=