ABC ~ DEF. What sequence of transformations will move ABC onto DEF?

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

Answer:

-12x+8 or 12x+8

Step-by-step explanation:

p please mark me brainlest

Step-by-step explanation:

I assume it means the task is filled completely.

diameter = 2.1 m

therefore, radius = diameter/2 = 2.1/2 = 1.05 m

height = 4 m

volume of a cylinder is

ground area × height, so

pi×r² × height = pi×1.05²×4 = 13.8544236... m³

1 cm³ is 1g

for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).

how many cm³ are in 13.8544236... m³ ?

1 m = 100 cm

1 m² = 1 m × 1 m = 100×100 = 10,000 cm²

1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³

that means a factor of 1,000,000 !

so, the volume of the cylinder is

13.8544236... × 1,000,000 = 13,854,423.6... cm³

to get the mass of kg of that much water we need now to divide by 1000 :

13,854,423.6... / 1000 = 13,854.4236... kg

which is, by the way, 13.8544236... tons.

yes, 1 m³ of water is 1 ton ...

I don't know, if you need to round the result.

if you e.g. only need full kg, then the answer would be

13,854 kg.

1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.

2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.

3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.

4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.

Triangles are geometric figures formed by three line segments and internal angles, whose sum is equal to 180°, which can be three acute angles or an obtuse angle and two acute angles or a right angle and two acute angles. The possibility is determined by applying the law of cosine:

[tex]\cos \theta = -\frac{x^{2}-y^{2}-z^{2}}{2\cdot y\cdot z}[/tex]   (1)

The triangle if and only if the cosine of each angle is between -1 and 1 with the following characteristics:

Now we proceed to determine the existence of each triangle:

1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.

2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.

3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.

4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.

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Answer:

Quadratic

Step-by-step explanation:

2705/500 = 5.41
10,818/1000 = 10.818
24 341/1,500 =24.227

43,273/2000 = 21.6365
67,613/2500 = 27.0452

Rate of change changes

The inequality that represents the scenario given above in terms of the number of students is 9x + 7 ≥ 54

Inequality is known to be a statement that shows the step or order association either it is greater than, equal to, less than, etc., that exist between two or more numbers in an expression.

Note that 7 students are in the technical crew. Denote the number of students in a group as = x

We take the other students in dance routines in groups of 9 as 9x.

Therefore, we say that the total number of students = 9x + 7

Since 6 full groups are working on dance routines, we then multiply by the student dance groups =  9  x  6 = 54

Therefore, we can state that our inequality as:

9x + 7 ≥ 54

Then you collect like terms:

9x ≥ 54 - 7

9x ≥ 47

x ≥ 47/9

x ≥ 6

So therefore, I will write to  directors that the number of students they need in each group should be at least 6 students.

See full question below

1. Write and solve an inequality to represent this situation.

2. Write a sentence to the directors about the number of students they need.

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Answer:

200 should be

Step-by-step explanation: mhm yes yes

Answer:

answer to number 1

Step-by-step explanation:

Find the zeros of denominator (x=-2)

-2|1   4   0  -9  -2

After Carrying down coefficients = Coefficients of number polynomial is 1, 2, -4, -1, and 0

Polynomial format: x^3+2x^2-4x-1

Hope this helps :)

Using proportions, it is found that Mark will run 8.52 miles before he gets to the foot of the hill.

A proportion is a fraction of a total amount.

In this problem, the distance to the foot of the hill is 65% of 13.1 miles, hence:

d = 0.65 x 13.1 = 8.52 miles.

Mark will run 8.52 miles before he gets to the foot of the hill.

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To multiply B and A, the number of columns of B must matc the number of rows of A.

When we multiply two matrices, A and B, we multiply the rows of matrix A by the columns of matrix B.

Now, the number of elements in a row of a matrix, is equal to the number of columns (and the number of elements in a column is equal to the number of rows).

To multiply BxA:

Then, a row on matrix B must have the same number of elements than a column in row A.

Then, to multiply BxA, the number of columns of B must match the number of rows of A, meaning that the correct option is the last one.

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Answer:

Card 3: 53.68 cm, Card 4: 150.72 sq. cm

Step-by-step explanation:

Card 3: First find the circumference, d(pi), 16(3.14)=50.24. Since the circle has 1/4 of it missing, we will divide by 4 then multiply by, 50.24/4=12.56, then multiply by 3 37.68. Lastly, we have to add 16 because of the cutout so 37.68+ 16=53.68

Card 4: Find the area of the circle, r^2(pi), 64(3.14)= 200.96. Then divide by 4 and then multiply by 3, 200.96/4=50.24, 50.24*3=150.72.

The expected value of the f-ratio is the mean value

On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true

From the question, we understand that the null hypothesis is true and the distribution is the F-ratio

The above scenario means that:

The variance of the top and the bottom ratio are the same

When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00

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Answer:

60°

Step-by-step explanation:

We know in a circle, the interior angle is half of the exterior angle.

Answer:

22√3.

Step-by-step explanation:

The perimeter is the sum of the lengths of the 3 sides,

= 5√3 + 3√27 + 4√12

= 5√3 + 3*√9√3 + 4√4√3

=  5√3 + 3*3√3 + 4*2√3

= 5√3 + 9√3  + 8√3

=  22√3.

Mt. St. Helens

hope it helps...!!!

Answer:

(6,-1)

Step-by-step explanation:

it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).

not sure

Answer:

The total monthly charge if one uses 769 minutes is $68.65

Step-by-step explanation:

Example:  If we are at x = 310, y = 45.50 and we use one more

               minute, x goes up by 1, y increases by .05, putting us

               at x = 311, y = 45.55.  Thus, usage of 311 minutes

               incurs a monthly cost of $45.55.

The y intercept is the point where x = 0.

That point on our equation is (0, 30)

This means that if zero minutes are used during the month,

the total charge for the month will be $30... the flat fee.

c)  Find total monthly cost for using 769 minutes

y = .05x + 30

y = .05(769) + 30

y = 38.45 + 30

y = $68.65

The cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).

To calculate the cash flows for this project, we need to consider the initial investment, operating cash flows, and terminal cash flows over the project's life.

Initial Investment:

Research and development cost: -$400,000

Machine cost: -$200,000

Shipping and installation cost: -$50,000

Net working capital increase: -$100,000

Total Initial Investment: -($400,000 + $200,000 + $50,000 + $100,000) = -$750,000

Operating Cash Flows:

The operating cash flows include revenue, costs, and depreciation for each year.

Revenue: $600,000 per year

Costs: $250,000 per year

Depreciation: Calculated using MACRS depreciation method for 7-year class life.

Year 1:

Depreciation: $200,000 (rounded to the nearest dollar) [MACRS depreciation for Year 1]

Operating Cash Flow: $600,000 - $250,000 - $200,000 = $150,000

Year 2:

Depreciation: $320,000 (rounded to the nearest dollar) [MACRS depreciation for Year 2]

Operating Cash Flow: $600,000 - $250,000 - $320,000 = $30,000

Year 3:

Depreciation: $192,000 (rounded to the nearest dollar) [MACRS depreciation for Year 3]

Operating Cash Flow: $600,000 - $250,000 - $192,000 = $158,000

Terminal Cash Flows:

Terminal cash flow includes the salvage value of the machine and the tax effect of selling the machine.

Salvage Value: $75,000

Tax Effect of Salvage Value: Taxable gain or loss on the sale of the machine = (Selling price - Book value)

Book Value: Accumulated depreciation at the end of Year 3 = $200,000 + $320,000 + $192,000 = $712,000

Selling price: $75,000

Taxable gain or loss: $75,000 - $712,000 = -$637,000

Tax on gain or loss: Tax rate (35%) * Taxable gain or loss = 0.35 * (-$637,000) = -$223,450

Terminal Cash Flow: Salvage Value + Tax on gain or loss = $75,000 + (-$223,450) = -$148,450

Now, let's sum up all the cash flows:

Cash Flows = Initial Investment + Operating Cash Flows + Terminal Cash Flow

Cash Flows = -$750,000 + $150,000 + $30,000 + $158,000 + (-$148,450)

Cash Flows = -$560,450

Therefore, the cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).

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Answer:

its c

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

for triangles, you have to have a total of 180 degrees also triangles have the same degrees every time

Answer:

The graph is not a line of best fit as there are not an equal number of data points on each side of the line

Step-by-step explanation:

Brainliest would be appreciated

Answer:

[tex]\bf F.\;8[/tex]

Step-by-step explanation:

[tex]\bf Sin (45^o)=\cfrac{5}{8\sqrt{2} }[/tex]

[tex]\bf \cfrac{1}{\sqrt{2} } =\cfrac{S}{8\sqrt{2} }[/tex]

[tex]\bf S=\cfrac{8\sqrt{2} }{\sqrt{2} }[/tex]

Cancel common factor:- √(2)

[tex]\bf S=8[/tex]

Therefore, your answer is f) 8.

Answer:

the answer is C

because for an equation to be an equation of a parabola, the coefficient of x^2 and y^2 has to be 1

Answer:

7+40n

Step-by-step explanation:

distribute 5 and get 5=40n then add the extra 2 for the awnser of 7=40n

Answer:

7+40n

Step-by-step explanation:

expand 5(1+8n)= 5+40n=

2+5+40n

= 7+40n

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex]

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

[tex]x^2 -7x + 10[/tex]

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

[tex]x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)[/tex]

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

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Answer:E Sin 16= opposite side/hypotenuse =7/15

Step-by-step explanation: opposite side to the angle used/ hypotenuse.

The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b =[/tex] a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For this case, we're specified that:

12 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).

That means:

Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.

To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.

If we take 4 times a pound, then we get 4 pounds.

Thus, 4 of a pound = 4 pound

In fraction, we have: 4 pounds = 4/1 fraction of a pound.

Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound

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Answer:

8.8

Step-by-step explanation:

To find mean, add all of the numbers together, then divide that sum by how many numbers there are.

3 + 5 + 10 + 11 + 15 = 44

44 ÷ 5 = 8.8

hope this helps!

Step-by-step explanation:

3+5+10+11+15÷5=

44 divided by 5 which gives 8.4

therefore that is the mean hope this helps

Answer:

18 cm cubed (cm^3)

Step-by-step explanation:

2 x 3 x 3

Answer: 18 cm (cubed)

Step-by-step explanation: Volume of a cube or box -

Length x Width x Height = 3x3x2