A rectangle has 2 sides that are each 6 centimeters lo[ng. The perimeter is 22 centimeters. How long are the other sides?
​

Answer:

Width = 8 cm

Length = 48 cm

Step-by-step explanation:

Area of a Rectangle Formula: A = lw

Step 1: Write out expression:

l = 6w

w = w

Step 2: Plug in known variables

384 = 6w(w)

Step 3: Solve for w

385 = 6w²

w² = 64

w = 8

Step 4: Find l

l = 6(8)

l = 48

Step-by-step explanation:

(n+1)! = (n+1)n(n-1)(n-2)...×3×2

16n! = 16n(n-1)(n-2)...×3×2

16(n-1)! = 16(n-1)(n-2)...×3×2

we can now divide both sides by (n-1)! and get

(n+1)n = 16n + 16

n² + n = 16n + 16

n² - 15n - 16 = 0

1×n² - 15n - 16 = 0

we try to bring this into a form

(n + a)(n - b)

one factor has to contain "-", because we have "-16".

and because -15 = 1 - 16, we see that

a = 1

b = 16

n² - 15n - 16 = (n + 1)(n - 16)

and that is 0, when at least one of the factors is 0, because 0×... = 0.

so, the solutions are

n = -1

n = 16

n = -1 does not make any sense for n!

so, n = 16 is the solution.

Answer:

k = 77

Step-by-step explanation:

\(\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7\)

Answer:

k = 77

Step-by-step explanation:

The question in equation form is :

\(\frac{k}{11} =7\)

Now we multiply both sides by 11 to solve for k :

k = 7×11

k = 77

Hope this helped and brainliest please

Answer:

(-2,-1)

Step-by-step explanation:

Assuming you mean 4x instead of \(x_4\) or \(x^4\):

\(y=x+1\)

\(y=4x+7\)

We are already given the value of y so plug it into the second equation. Lets use substitution to solve this system of linear equations.

\(x+1=4x+7\)

Subtract 1 on both sides

\(x=4x+6\)

Subtract 4x on both sides

\(-3x=6\)

Divide by -3

\(x=-2\)

We now have the x coordinate, plug it into the other equation:

\(y=-2+1\)

\(y=-1\)

Our ordered pair is (-2,-1)

Answer:

(7, -2)

Step-by-step explanation:

x + 3y = 1

-3x - 3y = -15

(x-3x) + (3y-3y) = 1-15

-2x + 0 = - 14

-2x = - 14

x = 7

x + 3y = 1

7 + 3y = 1

3y = 1-7

3y = -6

y = -2

Answer:

D: (7 , -2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(3)⋅(x+3y)=(3)(1)

−3x−3y=−15

Simplify

3x+9y=3

−3x−3y=−15

Add the two equations together to eliminate x

from the system.

3x+9y= 3

+     −3x−3y=−15

_____________

6y=−12

Divide each term by 6 and simplify.

y=−2

Substitute the value found for y into one of the original equations, then solve for x.

x=7

The solution to the independent system of equations can be represented as a point.

(7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

x=7, y=−2

I hope this helps!!!!!!!

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

Jim sold 340 reams of paper.

Step-by-step explanation:

The rule of three is a way to solve proportionality problems between three known values ​​and one unknown. . That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three should be applied as follows, a, b and c the known values ​​and x the unknown:

a ⇒ b

c ⇒ x

So: \(x=\frac{c*b}{a}\)

In this case, the rule of three can be applied as follows: if 1 box of paper contains 10 reams, 34 boxes of paper will have how many reams?

\(amount of reams=\frac{34 boxes*10 reams}{1 box}\)

amount of reams= 340 reams

Jim sold 340 reams of paper.

Answer:

h=854.046

Step-by-step explanation:

h+2=2800÷tan73

h=854.046(correct to 3 decimal places)

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Angle ABE & angle DBC are right angles then ∠ABE≅ ∠EBC

What is complementary angle theorem?

If two angles are complementary to the same angle, then they are congruent.

1.∠ABE and ∠DBC are right angles(Given)

2. m∠ABE=90⁰

m∠DBC=90⁰

By definition of right angles

3.∠ABE and ∠DBE are complementary.

∠DBE and  ∠EBC are complementary.

(By complementary theorem)

two angles are complementary to the same angle, then they are congruent.

4. ∠ABE≅ ∠EBC (is complementary to same)

Hence  ∠ABE≅ ∠EBC.

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Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

Answer:

\(x+y = 80\\325x+50y = 6, 750\)

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

\(x+y = 80 ............ 1\)

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

\(325 \times x \\325x\)

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

\(50 \times y\\50y\)

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

\(325x+50y = 6,750 .............. 2\)

Hence the system of equations represents the situation is:

\(x+y = 80\\325x+50y = 6, 750\)

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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Answer:

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

Answer:

Volume = (1/2)(7)(24)(22) =

1,848 cubic meters

Surface area = 2(1/2)(7)(24) + 7(22) + 22(24) + 22(25) = 1,400 square meters

The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Replace h in the equation with 21 hours and solve for d:

D = 8/6(21) + 4 1/2

D = 28 + 4 1/2

D = 32 1/2

As a decimal: 32.5

Answer:

See the answer below

Step-by-step explanation:

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Answer:My favorite new tip or trick I learned about remembering the quadratic formula is to use the acronym "FOIL". This stands for "First, Outer, Inner, Last" and it is a helpful way to remember the order of the terms in the equation. The first term is the coefficient of the squared term, the outer terms are the coefficients of the terms with the variable, the inner terms are the products of the coefficients of the squared and variable terms, and the last term is the constant. I think this tip or trick might work in helping other students remember the formula because it provides a simple acronym to remember the order of the terms in the equation.

My own tip or trick for solving quadratic equations is to draw a graph of the equation. This helps me visualize the equation and understand the solution better. Additionally, I like to use the quadratic formula to check my answer. This helps me make sure I have the correct solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

400

Answer:

its simple its 400

Step-by-step explanation:

Given the following points:

(1, 4): (2, 2.5): (3, 1) and (4, -0.5).

We are asked to find the average rate of change of the sequence.

The average rate of change for the sequence is the slope and it can be solved using the slope formula.

Slope (m) = y2 - y1

x2 - x1

So, lets choose two points on the line and substitute into the formular.

(1, 4) and (2, 2.5)

where:

x1 = 1

x2 = 2

y1 = 4

y2 = 2.5

m = 2.5 - 4

2 - 1

m = -1.5/1

m = -1.5

m = -1 1/2

Therefore, the correct option is the second option.

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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79°

The angles created by a transversal line and 2 parallel lines have special geometric properties.

Transversal Lines

A transversal line is a line that intersects 2 lines. In this case, the vertical line is the transversal line, and it intersects lines a and b. Additionally, the question states that a and b are parallel. The angles formed by parallel lines intersected by a transversal have unique relationships. These relationships can help prove either that angles are congruent or supplementary.

Alternate Side Angles

One relationship between specific angles is called alternate side angles. Alternate side angles are angles that are on the opposite side of the transversal. For example, angle z is on the left and angle x is on the right. These angles are alternate side angles. However, it's important to note that alternate side angles are not adjacent. This means that angles b and x are not alternate side angles.

By this definition, angle b and the angle of 79° are alternate side angles. Alternate side angles are always congruent. Thus, angle b = 79°.

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

The answer written in my book is:

(−1)!2

Step-by-step explanation: