Composite figures. I need help with this.​

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is  3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

Solution :

Number      Values (X)       [tex]$\sum (X_i - \bar X)^2$[/tex]

    1               121.5            193494.4144

   2               138.9            178489.3504

   3                155.7    164576.2624

   4           172            151616.7844    

   5               172.9            150916.7104

  6              196.5             133137.4144

   7              202.3            128938.4464

  8              202.7            128651.3424

  9              334.5            51474.5344

  10               504            3292.4644

   11              563.7              5.3824

   12       574.1              161.7984

   13                935           139591.9044

  14              952.6        153053.0884

   15     3194.3           6932267.726

Total             8420.7         8509667.624

Mean [tex]$\bar X = \sum \frac{X_i}{n}$[/tex]

              [tex]$=\frac{8420.7}{15}$[/tex]

              = 561.38

Median :

[tex]$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$[/tex]value

    = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 198.82

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 1849.28

[tex]$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$[/tex]value

    = 172

[tex]$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$[/tex]value

    = 574.1

Therefore, the range = highest value - lowest value

                                  = 3194.3 - 121.5

                                  = 3072.8

Now the interquartile range = [tex]$Q_3-Q_1$[/tex]

                                              = 574.1 - 172

                                             = 402.1

Answer:

Assuming the question is about the area of the "house" it's 70.

Step-by-step explanation:

The triangle's height is 18 - 10 = 8

The area of the rectangle is 5 * 10 = 50

The area of the triangle is 5 * 8 / 2 = 20

The total area is 50 + 20 = 70

Answer:

-107

Step-by-step explanation:

x4-5^3+ 3^2-2x + 7

2x−109/x−1

1   2   −109

    2

second step

1   2                    -109

                    1 * 2 = 2

    2 (-109) + 2 = -107

Coefficients are 2, and -107

Therefore the quotient is 2 and the remainder is -107

Answer:

The two triangles formed are also similar to each other. The measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1st u do the inverse which is 15+9=24

24-15=9

Answer:

x is greater than or equal to -8

Step-by-step explanation:

35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35

Answer:

Step-by-step explanation:

x = 100° ( being vertically opposite angles )

hope it helps :)

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Answer:

Write in slope-intercept form,

y =mx+bxy=4x+6

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation

Replied to your comment lol

Answer:

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

-2(3)-5=-6-5=-11

-2(3)-2(-5)=-6+10=4, not -4.

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

Answer: 252

Step-by-step explanation:

You just multiply 84 by two and then ad another 84.

Answer:

B) (4/9 x 20)-3

Answer:

12 ×$0.75 =$8.00

3.75 ÷ 5 = $1.33 a pound,

$1.33 × 12 = $15.96 so store A is offering the best rate.

It is found that Store B is offering the best unit rate for the bananas.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .

Grocery Store B is selling 5 pounds of bananas for $3.75.

According to the question,

Store A is selling bananas 1/2 pound for $0.75 .

Therefore,

For one pound will be;

= 0.75/0.5

= 1.5

And store B is selling 5 pounds of bananas for; $3.75

Therefore,

One pound will cost;

3.75/ 5 = 0.75

Hence, Store B is offering the best unit rate for the bananas.

To know more about the Division click the link given below.

brainly.com/question/19704059

#SPJ6

Step-by-step explanation:

<A + < B = 90° { being complementary angles)

2x + 10° + 3x + 15° = 90°

5x = 90° - 15° - 10°

5x = 65°

x = 13°

Now

<B = 3x + 15° = 3 *13° + 15° = 54°

Hope it will help :)

Answer:

Mean: 10.3

Median: 12

Mode: 13

Range: 15

Step-by-step explanation:

First, let's define what all these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a range whenever the numbers are put in ascending order. If there are two numbers in the middle instead of one, then take the average of those two numbers. Mode is the number that occurs the most in the set of data. Range is the difference between the largest and the smallest number in a set of data.

To make things a little easier overall, let's just go ahead and put all our numbers in ascending order, which will be as follows: 1, 6, 7, 7, 11, 13, 13, 13, 16, 16.

To find the mean, just add up all the numbers and divide by how many there are. So we'll add 1 + 6 + 7 + 7... and so on to get a total of 103. Next, we'll divide that number by 10 since there are 10 students. This gives us a mean of 10.3.

Next, we'll find the median. To find this, just figure out which number(s) is in the center of your data. Since we have an even number of terms (10), we'll have two numbers in the middle, being 11 and 13. To find our median from here, just add 11 and 13 and then divide by 2. 11 + 13 = 24 and then 24 / 2 = 12. This means that our median is 12.

Next, we'll find the mode. The mode is the number that is seen the most in a set of numbers. In our set, we see that there are three 13s. Since 13 is the most frequently used number in our set, this makes it the mode.

Finally, we'll find the range. The range is just the largest number in the set minus the smallest number in the set. In our set, 16 is our largest number and 1 is our smallest. Just do 16 - 1 = 15 and we'll see that 15 is the range of the set. Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

x = 5.4

Step-by-step explanation:

3/x = 4/7.2

cross-multiply:

4x = 21.6

x = 5.4

Answer:

Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:

All students took the same comprehensive test.

Step-by-step explanation:

In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable.  If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.

Answer:

75%

Step-by-step explanation:

First find the number of boys.

80 - 20 = 60

Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.

[tex]\frac{60}{80}[/tex] × 100 = 75%

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

Answer:

12

Step-by-step explanation:

For these problems you should use the pythagorean theorem: a^2+b^2=c^2

In this case, 13=c and 5=a

so:

5^2+x^2=13^2

25+x^2=169

subtract 25 from both sides

x^2=144

√144=12

missing side=12

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Answer:

its 56

Step-by-step explanation

50% × x = 28 or, 50 100

× x = 28

Multiplying both sides by 100 and dividing both sides by 50,

we have x = 28 ×

100

50

x = 56

If you are using a calculator, simply enter 28×100÷50, which will give you the answer.

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

Answer:

[tex](6 * n + 3)^{3}[/tex] - 12

Step-by-step explanation:

Twelve less than the cube of the sum of six times a number and three.

1. Change the words into numbers and math symbols.

Twelve = 12

Less than = subtract -

sum of six times a number and three = (6 * n + 3)

cube = exponent 3

2. Write the problem.

[tex](6 * n + 3)^{3}[/tex] - 12