The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

Answer:

[tex]x>-28[/tex]

Step-by-step explanation:

Given the following question:

[tex]-x\div4<7[/tex]

In order to find the answer, we have to isolate the variable by multiplying four on both sides.

[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]

Hope this helps.

Answer:

x>-28

Step-by-step explanation:

First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28

This leaves you with

-x<28

To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality

Negative/Negative =positive

Positive/Negative =Negative

So, You get
x>-28

Answer:

  T'''(2, 6)

Step-by-step explanation:

The transformations used in this problem are ...

  (x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin

  (x, y) ⇒ (x +h, y +k) . . . . translation h right and k up

  (x, y) ⇒ (y, x) . . . . . . reflection over the line y=x

__

Applying these transformations to point T(-5, -4), we have ...

1.  T(-5, -4) ⇒ T'(5, 4)

2. (h, k) = (1, -2), so we get ...

  T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)

3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations

Answer:

Remainder=35.25

Quotient = 2x²+8x+10.7

Answer:

Each coffee is $6

Step-by-step explanation:

So she bought a cupcake so 35-5=30

Divide 30 by 5 and you get 6.

Answer:

The answer is 2y -1 over 3y+1 ( last multiple choice)

Step-by-step explanation:

- move the y's beside the 3 and 2 to get rid of the 1/y fraction

Answer:

A

Step-by-step explanation: {reduction}

{[tex]\frac{2X3}{3X3}=\frac{2}{3}[/tex]} {[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

A. 6 to 9 7'5 [tex]\frac{6}{9}=\frac{2}{3} , \frac{9}{12}=\frac{3}{4}[/tex]

{[tex]\frac{3X3}{3X4}=\frac{3}{4}[/tex]}

B. 9 to 12 7'5 [tex]\frac{9}{12}=\frac{3}{4} , \frac{15}{20}=\frac{3X5}{4X5}=\frac{3}{4}[/tex]

C. [tex]\frac{15}{20}=\frac{3}{4} ,[/tex] 24 = 32 = 3 × 8: 4 ×8 = 3 = 4

D. [tex]\frac{30}{40}=\frac{3X10}{4X10}=\frac{3}{4} , 18:24=3X6=4X6=3:4[/tex]

choose A

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

                 2y = x + 3

                  y = (1/2)x + 3

Line b: -6x=3y-1

             -3y = 6x - 1

               y = -2x + (1/3)

Line c: 4x-8y=5

              -8y = -4x + 5

                y = (1/2)x - (5/8)

Parallel lines have the same slope (m).  Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

Answer:

-5

Step-by-step explanation:

when x is squared it will always be positive so x can be negative or positive

Answer:

Step-by-step explanation:

Tangents drawn to the circumference of a circle are equal.

x^2 + 8 = 33                      Subtract 8 from both sides

x^2+8-8 = 33 - 8               Combine

x^2 = 25                            Take the square root of both sides.

√x^2 = √25

x = ± 5

So x = 5.

x can also be - 5. The minus goes away when you calculate x^2

because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.

Answer:

Writing the information in the form of ratio

Three point basket = Three point tries

3 : 4

27 : x

Think about multiplication , how many 3s do you need to make 27 ?

Its 27 ÷ 3= 9

Because you need 9 lots of 3, Then to make it proportional , you'd need 9 lots of 4

9×4 = 36

Three points tries is 36

Answers:

====================================================

Further explanation:

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

Answer:

42

Step-by-step explanation:

Answer:

a. 7/25

b. 24/25

c. 24/25

d. 7/25

e. 7/24

f. 24/7

Step-by-step explanation:

sin is opposite/hypotenuse.

cos is adjacent/hypotenuse.

tan is opposite/adjacent.

Plug in the formulas to get find the ratios.

I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.

Answer:

{y,x} = {-4,-2}

Expanation:

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 2x

// Plug this in for variable  y  in equation [2]

  [2]    -2•(2x) - 8x = 24

  [2]     - 12x = 24

// Solve equation [2] for the variable  x

  [2]    12x = - 24

  [2]    x = - 2

// By now we know this much :

   y = 2x

   x = -2

// Use the  x  value to solve for  y

   y = 2(-2) = -4

slope of GH

and

lenght of FG

Answer:

1/m^5

Step-by-step explanation:

express with a positive exponent using x^-n = 1/x^n

Answer:

[tex]c)\: \cfrac{1}{m^5}[/tex]

Step-by-step explanation:

[tex]m^{-5}[/tex]

Apply the exponent rule:

[tex]m^{-5}[/tex]

[tex]\cfrac{1}{m^5}[/tex]

Hope it helps! :)

For simplifying this fraction, let first consider it as

[tex]{:\implies \quad \sf \dfrac{x}{y}-1}[/tex]

If we take LCM, and simplify it further, we will be having ;

[tex]{:\implies \quad \sf \dfrac{x\cdot 1-1\cdot y}{y}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{x-y}{y}}}}[/tex]

This is the required answer

Answer:

if the tip is 20% and 7%, it means that the meal MUST cost less than 32.85.

the reason behind this is that if we have $45 to spend it means that each 1% is 0.45 and 0.45x27=12.15 meaning that if we subtract this from $45 we get 32.85.

Now we have already spent $14 on our drink and appetizer so 32.85-14=18.85 we can only spend 18.85 on our meal

Given :-

To Find :-

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

Answer:

Decreased Percentage is 8.57 %

Step-by-step explanation:

Given:

Cost of cell phone = Rs. 3500

Cost after decreased in price Rs. 3100

To find:

Decreased percentage

Decreased Amount =

3500 - 3100

= Rs. 300

Decreasee Percentage =

[tex]\frac{decreased \: \: amcount}{initial \: \: cost} \times 100 [/tex]

[tex] = \frac{300}{3500} \times 100[/tex]

[tex] = \frac{300}{35} [/tex]

= 8.57%

Answer:

64x²y²

Step-by-step explanation:

Use the great smart calculator

hope it helpz uuuuuuu

Answer:

a. (2c+1b)-1w

b. monomial

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I need to write 20 characters

Answer:

B) all real values of x except x=5

Step-by-step explanation:

If [tex]f(x)=x^2-25[/tex] and [tex]g(x)=x-5[/tex], then [tex]\bigr(\frac{f}{g}\bigr)(x)=\frac{f(x)}{g(x)}=\frac{x^2-25}{x-5}=\frac{(x-5)(x+5)}{(x-5)}[/tex].

Given that [tex]x-5[/tex] exists in both the numerator and denominator, this creates a hole on the graph of the function where [tex]x=5[/tex] since [tex]5-5=0[/tex]all real values of x except x=5 is correct.

Review the attached graph for more information

Answer:

30 days

Step-by-step explanation:

she starts with $5, so she needs $25 more to have $30.

if she saves $5 ever six days, she needs to do this five times to reach $30.

6*5=30

good luck :)

Given :-

To Find :-

Solution :-

Given expression to us is ,

[tex](9^{2} )^{-1/3}[/tex]

We know that ,

[tex] 9 = 3^2[/tex]

So our expression becomes ,

[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]

And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,

[tex] (3^4)^{\frac{-1}{3}}[/tex]

Again using the same law ,

[tex] 3^{\frac{-4}{3}}[/tex]

We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,

[tex] (3^{-4})^{\frac{1}{3}}[/tex]

[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]

[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]

Simplify ,

[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]

This is the simplified expression.

I hope this helps.

Answer:

9.9 millimeters

Step-by-step explanation:

To find the perimeter of a square,

Equation: 4 • length = P

So in this case, we're just working backwards. To find the length, divide.

39.6/4 = 9.9

Answer:

9.9 mm

Step-by-step explanation:

let [tex]x[/tex] = length of one edge of the square

perimeter of a square = 4[tex]x[/tex]

⇒ 39.6 = 4[tex]x[/tex]

⇒ [tex]x[/tex] = 39.6 ÷ 4 = 9.9 mm

Answer:

C

Step-by-step explanation:

Let's assume the number is x.

Negative means a minus or subtraction.

Decrease also means a minus or subtraction.

Three times the number which we have assumed to be x will be: 3*x=3x

The answer:

-13 - 3x

Answer:

Its B

Step-by-step explanation:

No of teachers in the school = 5

Salaries they make =40000 to 70000

When one of the five teachers reduce salary to 20000/- per year, median may or may not shift one number to the left

Mean will definitely decrease by difference/5 = 4000 dollars

Thus mean will defintely change by reduction of 4000 dollars.

Median has a chance to remain the same or may shift left side one item.