Three workers are digging a ditch. They take turns working, and every one of them works for as long as it would take the other two to dig half of the ditch. They finished digging the ditch working in this manner. How many times faster would the three workers have finished digging the ditch if they had all been working at the same time?

Answer:

equation: y = -x - 5

Step-by-step explanation:

using the formula: y = mx + b ..........where m is the slope and b is y-intercept

so the equation in slope intercept form will be: y = -1x -5

Answer: Ash

Step-by-step explanation:

Convert both into a percentage so it is clearer

Lia- 48%

Ash- 48.57%

Answer:

Step-by-step explanation:

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

The values of x, y and z in the given triangle are 8, 5.66 and 8.

Triangles are a type of a polygon having three sides and angles.

Given is a triangle, having some unknown variables, we need to find their values,

So,

According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.

Therefore,

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.

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Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the length of rectangle :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

Substituting all the given values in the formula to find the length of rectangle :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]

Hence, the length of rectangle is 23 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

We know that,

[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]

[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]

[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]

[tex] \implies \displaystyle{23=l}[/tex]

Thus,the value of length=23 cm.

Step-by-step explanation:

[tex]{ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}[/tex]

We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab

Just add all these expressions and you will get your answer as ;

[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]

[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]

Collect like terms ;

[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]

Answer:

whats the problem? ill do my best to help

Step-by-step explanation:

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

Answer:

Step-by-step explanation:

The least common denominator can be found as the product of the denominators, divided by their greatest common factor:

  LCD = (12)(18)/6 = 36

This is 3 times 12, so

  5/12 = (5/12)(3/3) = 15/36

and it is 2 times 18, so

  4/18 = (4/18)(2/2) = 8/36

The two fractions are ...

Answer:

Step-by-step explanation:

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

Answer:

23 times 3 or just 23

ox

Step-by-step explanation:

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

Answer:

c

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

I believe the answer is 490.63.

Step-by-step explanation: Let me know if I'm wrong.

Answer:

A) [tex]\frac{7}{tan55^\circ}[/tex]

Step-by-step explanation:

[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]

Answer:

No

Step-by-step explanation:

They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.

Hi!

Your answer is No.

This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for

a + 7 = 2a

('a' is Pedro's brother's age)

Now, if we subtract a from both sides in the top equation, we get:

7 = a

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

Graph is attached

Hope this helps!

Answer:

2w - 2 ≤ 20

Step-by-step explanation:

2w - 2 ≤ 20

Answer:

'w' are all values less than or equal to 11

Step-by-step explanation:

2w - 2 ≤ 20

2w ≤ 22

w ≤ 11

Answer:

Step-by-step explanation:

Givens

r = 50

Formula

V = 4/3 pi r^3

Solution

V = 4/3 * 3.14 * 50^3

V = 4.19 * 50^3

V = 4.19 * 125000

V = 523750

The zeros of the function y = -5x - 7  is at x = -7/5

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given the equation:

y = -5x - 7

The zeros of the function is at y = 0, hence:

0 = -5x - 7

-5x = 7

Dividing through by -5 gives:

x = -7/5

The zeros of the function y = -5x - 7  is at x = -7/5

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.

Step-by-step explanation:

Answer:

x ≤ $12

Step-by-step explanation:

Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.

Let the amount of money she has left to spend for the week be x.

Total spending for the week ≤ $16

$4 +spending for the rest of the week ≤ $16

$4 +x ≤ $16

Subtract both sides by $4:

x ≤ $16 -$4

x ≤ $12

Answer:

7x + 4y = 17

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

(6 - 3) / (-1 - -1) = 3/0 so there is no slope

so the equation is x = -1

Answer:

  Q, R

Step-by-step explanation:

All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...

  the number is in sets Q and R

Horizontal shift left 9 units and vertical shift up of 6 units