2. The length of a rectangle is 5 cm more than its width. If the perimeter of the rectangle
is 40 cm, find the area of the rectangle.
​

Answer:

  11

Step-by-step explanation:

The Law of Cosines is useful when you have two sides of a triangle and the angle between.

  v^2 = w^2 +u^2 -2wu·cos(V)

  v^2 = 6^2 +16^2 -2·6·16·cos(27°)

  v^2 = 292 -171.0733

  v ≈ 10.9966

  v ≈ 11

Answer:

The eigen values obtained are not real and thus according to the notation in the question, the eigen values DNE in R

Step-by-step explanation:

Here, we are to find the eigen value and the eigen vector of matrix A over the real numbers R

Please kindly check attachment for complete solution and explanation

Answer:

Step-by-step explanation:

Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:

[tex]tan(70)=\frac{?}{3}[/tex] and

3tan(70) = ? so

? = 8.24

Answer:

i will say c

Step-by-step explanation:

c

Answer:

B. Whole numbers from 0 to 10

Step-by-step explanation:

this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.

Answer:

look below

Step-by-step explanation:

hi

Answer:

6 square units

Step-by-step explanation:

Simply count the number of squares:

There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.

Answer:

b) 36 inches

Step-by-step explanation:

Length  of the  wire = Outside circumference of the cylindrical tube * length of the cylinder

= 4 * 9

= 36 inches

Length of the wire will be same to the surface area of the cylinder

Surface area of cylinder = circumference * length

Answer:

1) A'(8, -10)

B'(10, -8)

C'(2, -4)

2) A''(8, -4)

B''(10, -6)

C''(10, -10)

Step-by-step explanation:

1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;

The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)

The coordinates of the point A(8, 8) will be A'(8, -10)

The coordinate of the point B(10, 6) will be B'(10, -8)

2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;

The coordinates of the point A'(8, -10) will be A''(8, -4)

The coordinate of the point B'(10, -8) will be B''(10, -6)

The coordinate of the point C'(2, -4)will be C''(10, -10)

Which gives, a total translation of -12 units down as follows;

A''(8, -4) - A(8, 8) = (0, -12)

B(10, 6) - B''(10, -6) = (0, -12)

C(2, 2) - C''(10, -10) = (0, -12).

Answer:

6

Step-by-step explanation:

I think the answer is 6

Answer:

V = 15 pi m^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is 3 and the height is 5

V = 1/3 pi ( 3)^2 *5

V = 15 pi m^3

Answer:

15 pi m3

Step-by-step explanation:

Answer:

The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.

In other words, two sides and the angle between them are congruent.

Hope this helps, if it does please give me brainliest, it will help me a lot :)

Have a good day

Answer:

A on edge

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

We are adding 2 each time

-3 +2 = -1

-1 +2 = 1

To get the next term add 2

1 +2 = 3

Answer: 3

Step-by-step explanation:

Answer:

x=3.00 or x= 8.00

Explanation:

Let us denote side of the cut-out square as x inches

Then base of box = 16-2x by 6-2x

The volume = V = (16-2x)(6-2x)

= 96-3x-12x+4x

dV/dx = 96-44x+4x^2

= 0 for a max V

divide by 4

X^2 -11x +24=0

Using quadratic formula to solve the equation

X= (11± √11^2-(4×1×24)/2

(11± √25)/2

x= 3 or 8inches

From the equation of volume = V = x(16-2x)(6-2x)

Substitute

let x = 3 , V = 3(16-6)(6-6) = 0

let x = 8 , V = 8(16-16)(6-16) = 0

Therefore, the maximum volume exist at both point x=3 or x= 8

Answer:

5x² and 7x² are like terms because they contain x².

3x and 8x are like terms because they contain x.

10 and 11 are like terms because they are constants.

Step-by-step explanation:

Let's recall that the definition of like terms is that they are terms that contain the same variables raised to the same power and only like terms can be combined.

Upon saying that, we have:

5x² and 7x² are like terms because they contain x²

3x and 8x are like terms because they contain x

10 and 11 are like terms because they are constants.

Answer:

Market price = Rs. 15,000

Step-by-step explanation:

Let Market price = x

discount = 20% of x

              = 0.20 *x = 0.2x

Selling price after discount = x - 0.2x = 0.8x

Value added tax = 15% of 0.8x

                            = 0.15 * 0.8x

                           = 0.12x

Selling price with VAT = 0.8x + 0.12x = 0.92x

Differences between SP with vat and SP after discount = rs.1800

0.92x - 0.8x = 1800

0.12 x = 1800

x = 1800/0.12

x = Rs. 15,000

Answer:

to be honest I'm not sure how to do

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

============================================

Explanation:

OM and ON are not equal in length, so the chords AB and CD are not the same length. The chords would need to be equally distant from the center for the chords to be equal.

The further a chord gets from the center, the smaller the chord gets. This is because the diameter is the largest chord possible and its distance from the center is 0 units. Increase that distance and the chord will shrink until it reaches 0 units in length.

You are correct in stating that AB is longer than DC because AB is closer to the center (or that OM is smaller than ON).

Answer:

Step-by-step explanation:

The two have a total of 5+2 = 7 "ratio units" so have a total of 140 cars.

can you mark me as brainliest?

Answer: 90,000

Step-by-step explanation:

From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.

To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:

Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.

Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:

60% of x = 54,000

60/100 × x = 54,000

0.6 × x = 54,000

0.6x = 54,000

Divide by 0.6

0.6x/0.6 = 54000/0.6

x = 90,000

The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.

Answer:

First car: 30 gallons

Second car: 35 gallons

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Total gas consumption was 65:

x+y=65

Where:

x = gallons consumed by the first car

y = gallons consumed by the second car

The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas, the two cars went a combined total of 1650 miles:

x 20+y 30 = 1650

The system is:

x+y=65 (1)

x 20+y 30 = 1650 (2)

Isolating y on (1)

y = 65-x

Replacing y= 65-x on (2):

x 20+(65-x)30 = 1650

20x +1,950-30x= 1650

20x-30x= 1650-1950

-10x= -300

x= -300/-10

x = 30 gallons

Back to (1)

y =65-x

y =65-30

y= 35 gallons

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

Given,

[tex] - \frac{2}{3} [/tex]

Now, let's find the value of 9x + 6

[tex]9x + 6[/tex]

plug the value of X

[tex] = 9 \times (- \frac{2}{3} ) + 6[/tex]

Multiplying a positive and negative equals a negative

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex] = - 9 \times \frac{2}{3} + 6[/tex]

Reduce the number with Greatest Common Factor 3

[tex] = - 3 \times 2 + 6[/tex]

Multiply the numbers

[tex] = - 6 + 6[/tex]

The sum of two opposites equals 0

[tex] = 0[/tex]

Hope this helps..

best regards!!

Answer:

40

Step-by-step explanation:

We're given an angle that forms a linear pair, and we're given an isosceles triangle. The angle to the right of 110 is 70, since they have to add up to 180. Since this is an isosceles triangle (denoted by the two dashes), we know that the other base angle has to be 70. 70 + 70 = 140; all angles add up to 180 so 180 - 140 = 40 degrees.

Answer:

40 degrees

Step-by-step explanation:

Since this is an isosceles triangle the 2 bottom angles are congruent

The bottom angles will be 70 degrees bc the exterior angle is 110 and 180-110=70

Because a triangle adds up to 180 degrees you need to use the equation 70 + 70 + x = 180 and you should get x = 40 degrees

Step-by-step explanation:

Given

Opp=8

Adj=6

Hyp=10

Answer

1)Sin<A=Opp/Hyp

8/10=4/5... Yes

2)Cos<A=Opp/Adj

8/6=4/3... No

Given

Opp=6

Adj= 8

Hyp= 10

Answer

1)Sin<B= Opp/Hyp

6/10=3/5... No

2)Cos<B= Opp/Adj

6/8=3/4... No

Hope this helps ❤❤❤

Answer:

(x + 4)² + (y + 1)² = 4

Step-by-step explanation:

From the graph attached,

Extreme ends of the diameter of the circle,

(-4, 1) and (-4, -3)

Center of the circle = Midpoint of the diameter

Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

           = [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]

           = (-4, -1)

Radius of the circle = Distance between the center and extreme end

                                = 2 units

Since standard equation of the circle is,

(x - h)² + (y - k)² = r²

where (h, k) is the center and 'r' is the radius of the circle

By substituting the values in the standard equation,

(x + 4)² + (y + 1)² = 2²

(x + 4)² + (y + 1)² = 4

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

Answer:

The answer is 175

Step-by-step explanation:

Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)

Answer:

m = 187

Step-by-step explanation:

Given m and n are inversely correlated then the equation relating them is

m = [tex]\frac{k}{n}[/tex] ← k is a constant

To find k use the condition when m = 22, n = 51

22 = [tex]\frac{k}{51}[/tex] ( multiply both sides by 51 )

1122 = k

m = [tex]\frac{1122}{n}[/tex] ← equation of correlation

When n = 6, then

m = [tex]\frac{1122}{6}[/tex] = 187

The value of m will be equal to 187 when both the numbers are an inverse function of each other.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that m and n are inversely correlated then the equation relating them is

m = K / n ← k is a constant

To find k use the condition when m = 22, n = 51

22 = k / 51 ( multiply both sides by 51 )

1122 = k

m =  1122 / n ← equation of correlation

When n = 6, then

m = 1122 / 6  = 187

Therefore, the value of m will be equal to 187 when both the numbers are an inverse function of each other.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

-6

Step-by-step explanation:

x(-y + z)

Let x= 3 y =3 and z =1

3( -3+1)

Parentheses first

3 ( -2)

Then multiply

-6

Answer:

Hello! The answer to your question is -6

Steps will be provided below.

Step-by-step explanation:

This is how to solve your question:

Question:

Evaluate x(-y + z) for x = 3, y = 3, and z = 1.

Answer and how to solve:

The answer is -6 because....

If you do the steps correctly it will be...

Do the Parentheses first.

3x-(2)

Now you just multiply and you will get your answer.

Which will give you -6

SO THE ANSWER TO YOUR QUESTION IS -6

⭐️Hope this helps! :) ⭐️

Have a wonderful day! :D

Answer:

15.5mi

Step-by-step explanation:

S refers to the distance covered

Given:

Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles.

Required:

How many miles did Mike run=?

Formula:

40.5mi-S(Perry)=S(Mike)

Solution:

40.5mi-S(Perry)=S(Mike)

40.5mi-24.9mi=S(Mike)

15.6mi=S(Mike)

Hope this helps.

Answer:

15.6 miles

Step-by-step explanation:

40.5 mi - 24.9 = 15.6 mi

Mike ran 15.6 miles

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation