How would you use 180(n-2)/n

Answer:

x = 2, -1

Step-by-step explanation:

Move all terms to the left side and set equal to zero Then set each factor equal to zero

The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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The fraction represented on the number line is equivalent to 2/6 is 1/3.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2/6.

Now we have to find an equivalent fraction to 2/6

Let us divide both numerator and denominator  by the same number 2.

That is, 2÷2/6÷2

= 1/3

Hence, the equivalent fraction is 1/3.

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To be able to determine how many gallons of paint should Amelia buy, we must first determine the total area of the walls to be painted and be divided by the area that each gallon of paint covers.

A.) Determining the total area of the walls to be painted.

Two walls are 26 ft. long and 9 ft. wide

The other wall is 18 ft. long and 9 ft. wide

We get,

B.) Let's determine how many gallons of paint will be used.

1 Gallon of Paint = 250 ft.²

We get,

Therefore, Amelia should buy 3 gallons of paint to paint the walls.

Answer:

10,340 ft

Step-by-step explanation:

the peak is 10,740 ft and since the climber is at the peak, that's their elevation.

he goes down 400 ft so its 10,470 - 400 which is 10,340

Answer:

B. 10,340

Step-by-step explanation:

The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.

Answer:

18.4 years

Step-by-step explanation:

The compound interest formula:

\(A=P(1+\frac{r}{n} )^{nt}\)

For this problem we have

\(P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000\)

We plug our numbers...

\(6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\\)

Then divide

\(6,000/2,000=3\)

\(3= (1.015)^{4t}\)

Apply log both sides

\(3log=(1.015) 4tlog\)

Solve for t

\(t= \frac{3log}{(4log(1.015))} =18.4 years\)

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer : 2/5 I believe correct me if I'm wrong

Total earnimgs per hour=10$

After deduction

Total earnings

Total hours:-

Approximately 89 hours

Answer:

y = x - 4

I hope this helps!

Answer:

PQ = 6

Step-by-step explanation:

Using tangent-secant theorem,

(PQ)² = (PR)(PS)

(PQ)² = (4)(9)

(PQ)² = 36

Taking square root on both sides, we get

PQ = 6

There are not equivalent to each other because the equation 2x+5=9 is equivalent to 2x=4

Answer: no.

Step-by-step explanation: 2x + 5 = 9 so subtract 5 from each side you get 2x = 4

X= 2

If we substitute that back in 2(2) + 5 = 9 so

If you do -2(2) = 4 it’s -4=4 and it’s not equivalent to each other

Because the statement is not correct.

Answer:

tyyyyy for free points have a great day

Answer:

Right

Step-by-step explanation:

Answer:

Right-angle

Step-by-step explanation:

When a triangle has one angle = 90 degree it is called an right angle triangle

Answer:

(3, 2)

Step-by-step explanation:

I will solve using the elimination method

 x + y = 5

- (x - y = 1)

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

       2y = 4

          y = 2

plug y = 2 into any equation and solve for x

x + 2 = 5

x = 3

(3, 2)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer: A side of a square for the area given 100/9 square meters, then length = 3.33 meters .

Step-by-step explanation:

The area of a square is (100/9) cm.

So, find out the length of the square?

Then,

Define Square:

A square is closed, two-dimensional shape with 4 equal sides. A square is a quadrilateral. We can find the shape of a square in a game board or chess board, a wall clock and in a slice of bread, around us.

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.

Define Area of Square:

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m²).                    

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.    

Area of a Square = Side ×  Side

Therefore, the area of square = side²  square units                          

                                              A = s²

Means,       A= area of square

You have the area so you need to find the side length that when multiplied by itself equals that area. If you don’t know what number squared is (100/9) you can plug and chug or use a calculator with square roots.

Replace with A=(100/9) values,

We can write,

                        A = s²

               (100/9) = s²

Then we can solve it,

               \(\sqrt{100/9}\) = s

                 \(\sqrt{\frac{(10^{2}) }{3^{2} } }\) = s

We can write, \(\sqrt{10^{2} }\) = 10 , and \(\sqrt{3^{2} }\) = 3

Then,  

                    (10/3) = s

Therefore,   s = (10/3)

                    s = 3.33 meters

So, length = 3.33 meters

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Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

Step-by-step explanation:

In a dilatation for find the new coordinates we have to multiply the initial value for the the scale factor

A’(-3, 12)

B’(9,6)

C’(-9,-3)

so the general rule is:

(x,y) -> (3x, 3y)

Answer:

Step-by-step explanation:

Answer:

  384 cubic centimeters

Step-by-step explanation:

We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.

__

  total surface area = base area + area of 4 faces

  area of 4 faces = total surface area - base area

  area of 4 faces = 384 cm² -144 cm² = 240 cm²

  area of 1 face = 240 cm²/4 = 60 cm²

__

The side length of the square base is ...

  A = a²

  a = √A = √(144 cm²) = 12 cm

and the slant height of one face is ...

  A = 1/2as

  s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm

__

The distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:

  H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg

  H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid

__

Now we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...

  V = 1/3BH

  V = 1/3(144 cm²)(8 cm) = 384 cm³

The volume of the pyramid will be 384 cm³.

Answer:

3/2

Step-by-step explanation:

make into a improper fraction

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Han produced hot chocolate by combining 6 tablespoons of cocoa with 4 cups of milk. For every spoonful of cocoa, 0.67 glasses of milk are required.

The relationship between two values is described by a ratio. It displays how frequently one value appears in another. The answer to this question will depend on how many cups of milk there are to every tablespoon of chocolate.

Divide the provided cups of coffee by the cost of the tablespoon of coffee to get the required quantity of milk per tablespoon of chocolate.

Cups per tablespoon of coffee equal cups of milk divided by tablespoons of cocoa.

Given that,

Number of cups of milk = 4

Tablespoons of cocoa = 6

4/6=0.67 cups

Therefore, for every spoonful of cocoa, 0.67 glasses of milk are required.

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We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

The answer is C.

Step-by-step explanation:

There are more minutes than the amount of water, so this is the only reasonable answer.

Answer:

Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1

Step-by-step explanation:

1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2

2. 2/1 so run is 1

3. its positive since slope is positve

4.  y int is when x is 0 and y has value so y int is 1

5.  y=2x+1 since slope and y int  

:D

Step-by-step explanation:

A) A school hall has 456 seats.

If you round is as per rules, you will round it up to get 460.

Now, if the number of tickets is 460 and all tickets are sold out, what problem will you have?

B) A bridge can safely carry a weight of 15.75 tonnes.

Same as above, rounding up will make the sign with 16 tonnes, but the bridge is not designed to handle this weight!

In both cases above you would round the numbers down to be in safer place.

450 seats or 15 tonnes are better numbers.