The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft

Answer:

41.5 units

Step-by-step explanation:

Given the data :

Month : J F M A M J J A S O N D

Inflow : 3 4 5 3 4 10 28 17 7 6 3 2

Outflow : 7 8 7 11 6 8 21 12 5 4 5 9

The unit of water in reservoir at the middle of August :

Initial unit = Unit of water at the start of the year = 50

Middle of August :

Inflow = 17 /2 = 8.5

Outflow = 12 /2 = 6

Unit of water at the middle of August :

Initial unit + Inflow - Outflow

Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5

Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74

50 + 65.5 - 74 = 41.5

Answer:

Step-by-step explanation:

Q1

Q2

TS = 3x + 1 = 3(7) + 1 = 22

Answer:

32

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

Answer:

20

Step-by-step explanation:

your welcome!!

Answer:

Get the app Photo Math

Step-by-step explanation:

Gives you the answer and if they ask to show work they also show a step on step on how they did the work

Answer:

64.8°

Step-by-step explanation:

in the given ratio 9:13:3 the required middle angle is presented as 9;

1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as

9x+13x+3x=180, ⇒ x=36/5;

2) if x=36/5, then the required measure of the middle angle can be calculated:

m(∠MIDDLE)=9*36/5=64.8°.

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

85 students

Step-by-step explanation:

If 17 = 20%

It means is the fifth part of 100%

Because 20% * 5 = 100%

With that logic if we multiply the amount of students by 5 we will get the total of students.

17*5= 85

Hope it was helpful ;)

Answer:

Step-by-step explanation:

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\

Answer:

43.50 or 43.5

Step-by-step explanation:

Answer:

(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)  

(g x h)(n) = -3n^3-4n^2 -8n + 8

(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7

Step-by-step explanation:

Answer:

1.  n = 0

   n = f -4

2.   n = - 2/g+2

3. fn+gn

Step-by-step explanation:

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex]    [tex]\frac{y_1+y_2}{2} =Ymp[/tex]

[tex]\frac{6+x_2}{2} = 1[/tex]          [tex]\frac{-2+y_2}{2} =2[/tex]    

multiply each by 2  to simplify

[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex]    [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify

6+[tex]x_{2}[/tex] = 2                          -2+[tex]y_{2}[/tex] = 4  =  

-6       -6                          +2       +2

   [tex]x_{2}[/tex] = -4                               [tex]y_{2}[/tex] =  6

To check use the Midpoint formula

[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]

I’m not sure can someone please answer this

Answer:

Step-by-step explanation:

C:Both are correct

Answer:

Approximately normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The shape of the sampling distribution of the sample mean distance is approximately normal

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5

meters.

Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample

When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.

Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.

Hence, the shape of the sampling distribution of the sample mean distance is approximately normal

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ5

Answer:

3+2x

Step-by-step explanation:

Since you've started with 3 you add the 2 each time up the output.

Answer:

If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.

Step-by-step explanation:

Answer:

false they are measuring the amount the sold

Step-by-step explanation:

step 1. 6x - 30 = 2(x + 33)

step 2. 6x - 30 = 2x + 66

step 3. 4x = 96

step 4. x = 24.

step 5. mNMO = x + 33 = 24 + 33 = 57°.

I'm 99% sure your answer is B!

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

thank you very much

Step-by-step explanation:

thank you

Answer:

1 and 3

Step-by-step explanation:

Answer:

B . <3  <7

I had the sam test and got a 100

please mark brainliest

Step-by-step explanation:

Answer:

The value of g(a) is:

[tex]g(a) = 3 - 2a[/tex]

Step-by-step explanation:

Given

As the function is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

Given the function

[tex]g(x)=3-2x[/tex]

substitute x = a in the function

[tex]g(a) = 3 - 2(a)[/tex]

[tex]g(a) = 3 - 2a[/tex]

Therefore, the value of g(a) is:

[tex]g(a) = 3 - 2a[/tex]

Answer:

6 cards

Step-by-step explanation:

8 × 6 = 48

You can't have 1/4 of a baseball card. So the answer is 6 cards.