Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals

Look At The Rectangle And The SquareAda Says That The Length Of Diagonal SQ Is Two Times The Length Of

Answers

Answer 1

Answer:

NO. Ada is not correct.

Step-by-step explanation:

Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 16 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 16^2 = c^2 [/tex]

[tex] 64 + 256 = c^2 [/tex]

[tex] 320 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{320} = \sqrt{c^2} [/tex]

[tex] 17.9 = c^2 [/tex] (nearest tenth)

Length of diagonal SQ = 17.9 in

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 8 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 8^2 = c^2 [/tex]

[tex] 64 + 64 = c^2 [/tex]

[tex] 128 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{128} = \sqrt{c^2} [/tex]

[tex] 11.3 = c^2 [/tex] (nearest tenth)

Length of diagonal OM = 11.3 in.

SQ is not two times the length of OM.

Therefore, Ada is not correct.

Answer 2

Answer:

No Ada is not correct

Step-by-Step Explanation:

The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it. 

This would be the Rectangle:

a^2+b^2=c^2

8^2+16^2=c^2

64+256+c^2

320=c^2

√320

17.8

This would be the Square: 

a^2+b^2=c^2

8^2+8^2=c^2

64+64=c^2

128=c^2

√128

11.3

Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM. 

I hope this helped :3


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Answers

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Step-by-step explanation:

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Answers

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how can you use table to help solve mixture problems

Answers

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Step-by-step explanation:

the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.​

Answers


Radius(r)= 25 cm = 25/100= 0.25 m
[1 cm = 1/100m]
Height (h)= 3.5 m
Curved surface area of Cylinder= 2πrh
= 2× (22/7) × 0.25 × 3.5
= 2× 22× 0.25 × 0.5
= 2× 0.5 ×22× 0.25
= 1 ×22× 0.25
= 5.5 m²
Curved surface area of 1 Cylindrical column= 5.5 m²
Curved surface area of 10 Cylindrical column= 5.5 × 10= 55 m²
Rate for painting 1 m² of the cylindrical column = ₹ 15.50
Cost of painting 10 cylindrical columns= 55 × 15.50 = ₹ 852.5.



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Caritas 37 coins on nickels and dimes in his piggy bank the value of the coins is $3.10 write a system of equations define the variables

Answers

Answer:

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Answers

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Linear equation

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This case

In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.

Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.

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B. y=2×5 -23 → y= 10-23 → y= -13

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

What is the quotient when (x + 2) is divided into the polynomial 2x^2- 2x - 12?
A. X+ 3 with a remainder of -2
B. 2x-6 with no remainder
C. 2x-5 with no remainder
D. 2x-3 with a remainder of 5

Answers

i think it’s a because when i divided -12by 2 it’s -6

You put a barrier around the garden and cover it with a layer of mulch. The barrier costs $1.50 per foot. One bag of mulch covers 8 square feet and costs $6. How much do you spend

Answers

Answer:

I spent $14.5 on the garden

Step-by-step explanation:

This problem  can be solved by simply adding the individual costs of the items put in the garden

Cost of the barrier:

We can get the cost of the barrier by first of all determining the perimeter of land the barrier covers. We have a hint in the question given: "One bag of mulch covers 8 square feet "

We can assume the shape of the garden to be a square and the area to be  8 square feet.

The length of the garden will be = [tex]\sqrt{area}[/tex] because the garden is a square.

Length = [tex]\sqrt{8} =2\sqrt{2}[/tex]

perimeter = [tex]4 \times 2\sqrt{2}=4\sqrt{2} feet[/tex]

The barrier costs $1.50 per foot. for [tex]4\sqrt{2}[/tex] feet, =$8.5

Cost of barrier = $8.50

Cost of Mulch

The cost of mulch = $ 6

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Step-by-step explanation:

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Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first equation to get x=-5-3y. Han's first step is to isolate 3y in the first equation to get 3y=-5-x. Show that both first steps can be used to solve the system and will yield the same solution.

Answers

Answer:

Yes, they can both be solved and get the same answer.

Step-by-step explanation:

Tyler's way:

Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

Han's way:

Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

Determine if both first steps can be used to solve the system and will yield the same solution

Both Tyler and Han's first step can be used to solve the system and will yield the same solution

Given:

x + 3y = -5

x + 3y = -5 9x + 3y = 3

Tyler

isolate x in the first equation to get

x = -5 - 3y

substitute into second equation

9x + 3y = 3

9( -5 - 3y) + 3y = 3

-45 - 27y + 3y = 3

- 24y = 3 + 45

-24y = 48

y = 48/-24

y = -2

Recall,

x = -5 - 3y

= -5 - 3(-2)

= -5 + 6

x = 1

Han:

isolate 3y in the first equation to get

3y = - 5 - x

substitute into second equation

9x + 3y = 3

9x + (-5 - x) = 3

9x -5 - x = 3

8x = 3 + 5

8x = 8

x = 1

Recall,

3y = - 5 - x

3y = -5 - (1)

3y = -5 - 1

3y = - 6

y = -2

Therefore, both first steps can be used to solve the system and will yield the same solution.

Read more:

https://brainly.com/question/15165519

Determine if both first steps can be used to solve the system and will yield the same solution

Both Tyler and Han's first step can be used to solve the system and will yield the same solution

Given:

x + 3y = -5

x + 3y = -5 9x + 3y = 3

Tyler

isolate x in the first equation to get

x = -5 - 3y

substitute into second equation

9x + 3y = 3

9( -5 - 3y) + 3y = 3

-45 - 27y + 3y = 3

- 24y = 3 + 45

-24y = 48

y = 48/-24

y = -2

Recall,

x = -5 - 3y

= -5 - 3(-2)

= -5 + 6

x = 1

Han:

isolate 3y in the first equation to get

3y = - 5 - x

substitute into second equation

9x + 3y = 3

9x + (-5 - x) = 3

9x -5 - x = 3

8x = 3 + 5

8x = 8

x = 1

Recall,

3y = - 5 - x

3y = -5 - (1)

3y = -5 - 1

3y = - 6

y = -2

Therefore, both first steps can be used to solve the system and will yield the same solution.

Read more:

https://brainly.com/question/15165519

3n + 1 + 8n2 – 8n – 7 A) 16n? – 11n - 2 B) 16n2 – 5n - 2 C) 16n² – 5n - 6 D) 8n? – 5n - 6​

Answers

Answer:

The answer is D.

Step-by-step explanation:

There is only one 8n^2, and that means that it cannot combine with anything.

F. The relationship between x and y is not a straight line.
Does anyone know the answer??

Answers

Answer:

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Step-by-step explanation:

Taking two points from the given line

(3, 0)(-3, -2)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-0}{-3-3}[/tex]

[tex]m=\frac{1}{3}[/tex]

From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.

at x = 0, y=-1

Thus, the y-intercept = -1

We know that the slope-intercept form is

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

substituting the values of m=1/3 and the y-intercept b = -1

[tex]y=mx+b[/tex]

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

[tex]y=\frac{1}{3}x-1[/tex]

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

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