determine the area and perimeter​

Answer:

B) [tex]A=4x+8[/tex]

Step-by-step explanation:

Hi there!

Area of a trapezoid: [tex]A=\displaystyle\frac{1}{2}h(b_1+b_2)[/tex]

⇒ b₁ = x-3

⇒ b₂ = x+7

⇒ h = 4

Plug the given information into the equation:

[tex]A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8[/tex]

Therefore, the area of the trapezoid is [tex]4x+8[/tex].

I hope this helps!

Answer:

The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything inbetween.

Step-by-step explanation:

So to start off I would always give placeholder for all the sides. Lets label it x.

2(x+5) + 2(x+3) < 3(4x)

In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.

2x + 10 + 2x + 6 < 12x

4x + 16 < 12x

16 < 8x

2 < x

We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.

Now we repeat, just instead of 3 its 2 and instead of less than its greater than.

2x + 10 + 2x + 6 > 8x

4x + 16 > 8x

16 > 4x

4 > x

So your answer is between 2 and 4.

The possible lengths of the sides of the original square (x) any value between 4 cm and 8 cm, inclusive.

Let's denote the side length of the original square as "x" centimeters. The perimeter of the square is 4x.

When 5 cm and 3 cm are added to the length and width of the square,  a rectangle with dimensions (x + 5) cm and (x + 3) cm. The perimeter of the rectangle is 2 × (x + 5) + 2 × (x + 3) = 2x + 10 + 2x + 6 = 4x + 16.

According to the given information, the perimeter of the rectangle is between twice and three times the perimeter of the original square:

2 × perimeter of square ≤ perimeter of rectangle ≤ 3 × perimeter of square

Substitute the values:

2 × 4x ≤ 4x + 16 ≤ 3 × 4x

Simplify:

8x ≤ 4x + 16 ≤ 12x

Subtract 4x from all parts:

4x ≤ 16 ≤ 8x

Now, divide all parts by 4:

x ≤ 4 ≤ 2x

To know more about square here

https://brainly.com/question/14198272

#SPJ3

Answer:

The distance is always the opposite of the difference.The distance is the absolute value of the difference.

Answer:

The distance is the absolute value of the difference

Step-by-step explanation:

Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.

Answer:

On the blue print, the room will measure 20 by 8 feet

Step-by-step explanation:

Answer:

g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice

Step-by-step explanation:

I. If move right is +x and move down is -y

               then f(x) = [tex]\frac{1}{x}[/tex]

               +x = 11, -y = -9

                so g(x) = [tex]\frac{1}{x+11}-9[/tex]

Hope that help :D

Answer:

It is a function and 0to^2 shows your function dt.c and 4c-3 shows your function is wrong and the answer is 0 and 31/4 to the power of 25 and shows that the function is 8.

Step-by-step explanation:

The measure of angle DAC must be 60 degrees. Since a right angle is 90 degrees, the sum of the degrees of both of the angles must be that amount. If angle BAD is 30 degrees, the measure of angle DAC must be 60 degrees.

Answer:

1. B

2. A

Step-by-step explanation:

Those are the correct answers

Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:

D. (48.9%, 55.1%)

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

As a percentage, option D is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

The population expected to be 10 years from now is 12,138.

Given that,

Based on the above information,

The  population expected to be 10 years from now is

[tex]= Number\ of\ people \times (1+ growth\ rate)^{number\ of\ years}\\\\= 8,200 \times (1 + 0.04)^{10}\\\\[/tex]

= 12,138

Therefore we can conclude that The population expected to be 10 years from now is 12,138.

Learn more about the population here: brainly.com/question/16138725

Answer:

true

Step-by-step explanation: true

Answer:

the number will vary the answer

Step-by-step explanation:

3×1=3

3×2=6

Step-by-step explanation:

steps are in the picture above.

Answer:

5 units

Subtract -6 and -1, and you get -5. -5 can't be the answer since we are asked to find the distance, so it is the absolute value of -5, 5.

Answer:

D) 6 units

Explanation:

Point A is 5 units away from 0 (the middle)

Point B is 1 unit away from 0

5 + 1 = 6

Distance between two points cannot be negative

9514 1404 393

Answer:

  7.28

Step-by-step explanation:

Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.

The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

  AB² = AC² +BC²

We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...

  AB² = 2² +7²

  AB² = 2·2 +7·7 = 4 +49 = 53

When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.

  AB = √53 ≈ 7.2801099

When we round this number to two decimal places (the nearest hundredth), we get ...

  AB ≈ 7.28 . . . units

_____

Additional comments

You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.

In general, this is how you find the length of a line segment from its end point coordinates.

__

A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.

Answer:

6,000

Step-by-step explanation:

60 hundreds.

600 tens.

Answer: H. 20%

Step-by-step explanation: if 4/5 got 100 then 80% got 100 so the other 20% did not get a 100

Answer:

Given:

Find the following

g(2)

g(t - 2)

g(t) - g(2)

g(t)=5t^2-8t+3

[tex]\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3[/tex]

[tex]\\ \sf\longmapsto g(2)=5(4)-16+3[/tex]

[tex]\\ \sf\longmapsto g(2)=20-13[/tex]

[tex]\\ \sf\longmapsto g(2)=7\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t)-g(2)[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t+3-7[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t-4[/tex]

Answer:

14.

JIm can solve 4/7 math problems in a minute. that is the unit rate. how did i get that? 7/7 = 1 and thats what we need for a unit rate, the number one. that means we have to divide 4 by 7 too. therefore, 4/7.

we aren't done. we multiply 4/7 * 25 to find out how many math problems jim can solve in 25 minutes.

about.. 14.29 and we need a whole number since you cant solve a decimal of a math problem so he can solve 14 math problems in 25 minutes.

Step-by-step explanation:

Answer:

43.57

Step-by-step explanation:

divide 4/4 and 7/4 to get the base amount of minutes per question then multiply 1.75 by 25 minutes

Answer:

see below

Step-by-step explanation:

Take the amount of lasagna and divide by the number of people

3/4 ÷ 5=x

Copy dot flip

3/4*  1/5=x

3/20 each

Answer:

8%

Step-by-step explanation:

Ok, there is 52 cards per deck, 13 per suit ( club, diamond, heart, and spade)

if you multiply 13 by 4 ( 4 is dependent on the number of suit, and 4 will always be the number of suit )

The probability is 8%.

Why, because 25 would be pulling a random card and your saying you want the suit to be diamond the probability of you getting a random diamond card would be 25%. But were not doing that. So cross out 31% and 25%.

Also, 4% would be as your counting 100 cards. So that leaves me with 8%.

9514 1404 393

Answer:

  the number is 1

Step-by-step explanation:

First of all, you need to know what you're solving. Here, we assume you're trying to find "the number."

__

Let n represent "some number." The given relation can be written using math symbols as ...

  5n +8 = 10 +3n

Subtract 3n +8 from both sides to separate the variable and the constant terms.

  2n = 2

  n = 1 . . . . . . . divide by 2

The number is 1.

__

Check

  5 times 1, added to 8 is 13. This amounts to the same thing as 10 added to the product of 3 and 1.

Answer : 2604 can be divided into 1736 and 868 in the ratio of 2:1.

Step-by-step explanation:

2x + x = 2604

or, 3x = 2604

or, x = 2604/3 = 868

so

2x = 2*868 = 1736

now

x = 868

Answer:

the length=8

the rectangle=5.5

Step-by-step explanation:

+)convention:

the lengt=a

the width = b => the area of the rectangle = a.b=44m^2 (1)

+) "the length of the rectangle is 3m less than twice the width"

=> 2b-a = 3 (m)

=> a=2b-3

substitute a for (1), we get

the area of the rectangle = a.b = (2b-3).b=44 m^2

=> 2b^2-3b-44=0

=> b=-4 (wrong)

=> b= 5.5 =the width

the lengt = the area of the rectangle/the width=44/5.5=8 m

Use the formula y2-y1/x2-x1

That gives you

5 - (-2) / -1 - 1 = -7/2

-7/2 should be your slope.

(Or it could be -3.5 in decimal form)

Answer:

100

Step-by-step explanation:

if SP>CP,

It is profit [SP - CP = Profit]

if CP>SP,

It is loss   [CP - SP = Loss]

Here in the question CP>SP so,

loss = CP - SP

       =200 - 100

       = 100

Answer:

0.35355339059

Step-by-step explanation: