Lisa rectangular living room is 20 feet wide if the length is 6 feet less than twice the width what is the area of a living room

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Answer:

  4. 8 yds

  5. 30 mi

Step-by-step explanation:

The relation according to the Pythagorean theorem is ...

  c² = a² + b²

This can be solved for 'a' or 'b' to get ...

  a = √(c² -b²)

  b = √(c² -a²)

__

4. b = √(17² -15²) = √(289 -225) = √64 = 8

The length of leg b is 8 yards.

__

5. a = √(50² -40²) = √(2500 -1500) = √900 = 30

The length of leg 'a' is 30 mi.

_____

Additional comment

You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.

Answer:

[tex]A_{\Delta ABP}=\sin \theta[/tex]

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]

However, note that sin(π - θ) = sin(θ). Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]

Hence, the area of ΔABP is:

[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]

Answer:See explanation

Step-by-step explanation:

The values that can be used to satisfy the inequality 4x - 3 < 25 will be calculated thus. We simply have to get the value of x and this will be:

4x - 3 < 25

4x < 25 + 3

4x < 28

x < 28/4

x < 7.

Therefore, the values that must satisfy the equation must be less than 7 such as 1, 2, 3, 4, 5 and 6.

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4(y - 2) = 12

Step 2: Solve for y

Answer:

-4y+8=12

-4y=12-8

-4y=4

y=-1

Answer:

y = -⅓x + 3

Step-by-step explanation:

To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:

Slope (m) = change in y/change in x

Slope (m) using the two points on the line, (0, 3) and (3, 2):

m = (2 - 3)/(3 - 0) = -1/3

m = -⅓

y-intercept (b) = 3 (the y-axis is intercepted at this point)

✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:

Thus,

y = -⅓x + 3

Answer:

?????

Step-by-step explanation:

????

asaan ang sasagutan

Answer:

Option C

4w + 4(8)

=4w + 32.

Answer:

The answer is "Amount of daily sales at any given temperature".

Step-by-step explanation:

John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.

When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.

Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.11/12 =11 is numerator and 12 is denominator

b.7/512 =75 is numerator and 512 is denominator

c.12/10 = 12 is numerator and 10 is denominator

d0/78 = 0 is numerator and 78 is denominator

point to remember : In fraction,upper part is always numerator and down part is denominator.

Answer:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation:

Answer:

The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.

If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it

The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,

The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.

The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:

$12 + $62 + $70 + $54 + $62 = $260

$260 ÷ 5 = $52

When the outlier of $12 is included in the calculation, it significantly lowers the mean.

The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.

Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.

Learn more about medians here:

https://brainly.com/question/28060453
#SPJ7

Answer:

y= x - 5

Step-by-step explanation:

The equation of a line is generally y=mx+b.

m= the slope, b= the y-intercept

By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:

m=y2−y1/x2−x1

Plug in (5,0) and (0,-5):

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So plug these numbers into the line equation, y=mx+b:

m= 1

b= -5

y= mx+5

y= (1)x + (- 5)

y= x - 5

Voila!

The equation of the line is equal to y= x - 5

The general equation of a line is;

y=mx+b.

Where m= the slope, b= the y-intercept

Since we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, we can find the slope with the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]

Substitute in (5,0) and (0,-5)

m= -5 - 0 / 0 - 5

m = -5/-5

m = 1

Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.

So, substitute numbers into the line equation, y=mx+b:

y= mx+5

y= (1)x + (- 5)

y= x - 5

Learn more about linear equations;

brainly.com/question/15420947

#SPJ6

Answer:

5/8 miles

Step-by-step explanation:

2 1/4 - 2 5/8 = 2 2/8 - 2 5/8 = 5/8

Hope this helps!

Answer:

NEDD POITS SERY

Step-by-step explanation:

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

Answer:

1-9 the answer is -8of the circle

Step-by-step explanation:

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Answer:

 a. 5√3 ft

 b. 8.7 ft

Step-by-step explanation:

The area is the square of the side length, so the side length is the square root of the area:

  s = √A

  s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)

  s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden

Answer:

Solution given:

perpendicular [P]=x

base[B]=9

hypotenuse [H]=41

Now.

By using Pythagoras law

H²=P²+B²

41²=x²+9²

x²=41²-9²

x=[tex]\sqrt{1600}=40[/tex]

x=40 is a required answer.

Answer:

third side must be between 3 and 11, non-inclusive

Step-by-step explanation:

Triangle Inequality Theorem:

sum of any two sides must be greater than the third

4 + 7 > x;   x < 11

4 + x > 7;   x > 3

third side:

3 < x < 11

Answer:

4.54 x 1010

Hope this helps!

Answer:

A 9

B 4.5

C 4.5

D 2.25

Step-by-step explanation:

I need to be 20 letters long so ya

Answer: Brian ran 9 miles

Sonia ran 24 miles

Step-by-step explanation:

Let's Brian's distance be represented by x.

Since Sonia ran 6 miles more than twice as far as Brian. This will be:

= (2 × x) + 6

= 2x + 6

Therefore,

x + 2x+6 = 33

3x + 6 = 33

3x = 33 - 6.

3x = 27

x = 27/3

x = 9

Brian ran 9 miles

Sonia ran = 2x+6 = 2(9).+ 6 = 18+6 = 24 miles

Answer:

C

Step-by-step explanation:

Any time you move up or down, it affects the "y" coordinate, and going up is positive so 5 units up is [tex]y + 5[/tex].

Moving left or right affects the "x" coordinate and moving left is negative so

[tex]x - 3[/tex]

[tex](x - 3, y + 5)[/tex]

 Hence, C is the correct answer  

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Answer:

  yes, yes, no; No

Step-by-step explanation:

We have to assume you have no trouble with single-digit addition and comparison of two numbers.

  3+4 > 1   ⇒   7 > 1 . . . . yes

  4+1 > 3   ⇒   5 > 3 . . . . yes

  3+1 > 4   ⇒   4 > 4 . . . . no

These lengths will not make a triangle because the triangle inequality is not satisfied.

_____

Additional comment

You will notice that we found the result of interest when we added the two smallest numbers (1 and 3) and compared the sum to the largest number (4). This is a shortcut you can use for any "will these make a triangle" question. You don't need to bother comparing larger numbers to smaller ones. You already know they are larger.

Answer:

Answer:

When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.

When the number of columns in A [tex]\neq[/tex] the number of rows in B.

The matrix-vector is not defined.

Step-by-step explanation:

For example:-

Step 1:

Let's assume

[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2                 &       [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1

Since matrix multiplication of matric A and matrix B is only possible,

When the number of columns in A = Number of rows in B.

Step 2:

Let's A as m x n; Here m = rows and n=columns

B as p x q; Here p = rows and q=columns.

When n [tex]\neq[/tex] p, the matrix-vector is not defined.

That is matrix multiplication Ax is not possible.

Hence the matrix is not defined.

I believe the answer to this is:

Mean: 8.7 minutes

Median: 9 minutes

Hope this helps! :D