Which of the following statements is true

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/897975

#SPJ2

Answer:

the amount to be earned is $12,000

Step-by-step explanation:

The computation of the amount to be earned is shown below:

= The amount to purchase a used car ÷ (1 - paid percentage)

= $8,520 ÷ (1 - 0.29)

= $8,520 ÷ 0.71

= $12,000

hence, the amount to be earned is $12,000

We simply applied the above formula for determine the earned money

The same would be considered

Answer:

This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.

You would use less than or equal to if your inequality can be equal to a number. Here's an example.

John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.

x + y (equal to or less than) 45

John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.

x + y < 45

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

Answer:

it is

Step-by-step explanation:

Answer:

The length of each side is (2a-5) units

Step-by-step explanation:

4a^2 - 20a +25

= (2a)^2 - 20a + (-5)^2

=(2a - 5)^2

(9a^2 - 16b^2)

= (3a)^2 - (4b)^2  this is the difference of two squares, the factors are therefore

= (3a + 4b) * (3a - 4b)

The dimensions of the rectangle are:

one pair of opposite sides are 3a + 4b

and the other pair of opposite side perpendicular to the first pair is 3a - 4b

Answer:

Step-by-step explanation:

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²

Answer:

x=7°      y=4°

Step-by-step explanation:

7x+131=180

7x=180-131=49

x=49/7=7°

11x+y+99=180

77+y+99=180

y=180-99-77

y=4°

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:

The weight unit is 200 pounds per tire

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

The method to find the interquartile range is (b) Find the difference between the upper and lower quartiles.

The interquartile range of a set of data is the difference between the upper quartile and the lower quartile of the dataset

Using the above definition, we can calculate the interquartile range by:

IQR = Q3 - Q1

Hence, the method to find the interquartile range is (b) Find the difference between the upper and lower quartiles.

Read more about interquartile range at:

https://brainly.com/question/1509868

Answer:

B. Find the difference between the upper and lower quartiles.

Step-by-step explanation:

Verified answer ✔️

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

Answer and Step-by-step explanation:

To subtract 8 from 10, it would look like this:

10 - 8.

Now, we add n to the result.

(10 - 8) + n

The question said not to simplify any part of this, so this is the expression.

(10 - 8) + n

#teamtrees #PAW (Plant And Water)

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

Answer:

800

Step-by-step explanation:

First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.

Hope this helps!

Answer:

y= -1/4x

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

Answer:

Part A;  n= 196

Part B:  n = 120

Part C:

d. No, a sample of students at the nearest college is a convenience sample, not a simple random sample. so it is very possible that the results would not be representative of the population of adults.

Step-by-step explanation:

Part A;

The sample size n can be calculated by using the formula

p^ ± z∝/2* √pq/n

this implies that

e= z∝/2* √pq/n

where e= ║p-p^║= 0.07

p^= 0.5

q^= 0.5

Putting the values

e= z∝/2* √pq/n

0.07= ± 1.96 √0.5*0.5/n

Squaring both sides

0.0049 = 3.8146*0.25/n

n= 196

Part B:

Given p^= 0.81  and q^= 1-p^= 1-0.81= 0.19

e= 0.07

Using the formula

e= z∝/2* √pq/n

Putting the values

0.07= ± 1.96 √0.81*0.19/n

Squaring both sides

0.0049 = 3.8146*0.1539/n

n= 119.809= 120

Part C:

The sample selected is not a random sample because all the adults who have heard about the brand do not have equal chances of being chosen.

It is convenience sample that is it is chosen at ease from a nearby college.

Answer:

Try B

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) the formula for the area of the square is:  side^2

2) by solve the square root of the area

3) √81 ; √89

4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).

the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.

Answer:

D. 41°

Step-by-step explanation:

[tex](3x + 9) \degree = 132 \degree \\ (vertical \: \angle s) \\ 3x + 9 = 132 \\ 3x = 132 - 9 \\ 3x = 123 \\ x = \frac{123}{3} \\ x = 41 \\ \\ \because m\angle QRS =x\degree \\\therefore m\angle QRS = 41\degree [/tex]

Answer:

linear expressions is the answer

Answer:

it 45

Step-by-step explanation:

u add 75 and 60 together which equals 135

then u subtract 135 from 180 and u get 45