write vertically and solve step bye step 1.what is 0.24x3.12

Answer:

14.2

Step-by-step explanation:

The ladder forms a right angles triangle,

We have,

h=20

p=16

b=x

Using pythogorean theorem,

b=√(20^2-16^2)

√144

b=12

Now,

Since, she pulls it 2 cm,

b=x+2

b=14

p=?

Using pythogorean theorem,

p=√(20^2-14^2)

√204

p=14.2828568571

Rounding  to the nearest tenth,

p=14.2

The side of the ladder will reach up is 14.3 feet.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Hypotenuse, h = 20 feet

Perpendicular, p = 16 feet

Base = b

By Pythagoras theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]

⇒[tex]b^{2} = 400-256[/tex]

⇒[tex]b^{2}=144[/tex]

⇒[tex]b=\sqrt{144}[/tex]

⇒[tex]b=12[/tex]

The ladder at the house is pulled 2 feet farther.

So, base = [tex]12+2[/tex]

⇒[tex]b=14[/tex]

Now, the side of the ladder will reach up

[tex]p^{2} = h^{2}-b^{2} \\[/tex]

⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]

⇒[tex]p^{2}=400-196[/tex]

⇒[tex]p^{2}=204[/tex]

⇒[tex]p=\sqrt{204}[/tex]

⇒[tex]p=14.28[/tex]

⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)

Hence we can conclude that the side of the ladder will reach up is      14.3 feet.

Learn more about trigonometric ratios here

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Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.

Answer:

12

Step-by-step explanation:

4 ( 3x + 5 )

= 4 ( 3x ) + 4 ( 5 )

= 12x + 20

The coefficient of x in 12x is 12.

Step-by-step explanation:

Number 1

180° = x + 70° + 55° + 30°

180° = x + 155°

x = 180° - 155°

x = 25°

Number 2

x° = 93°

y° = 47°

z° = 180° - 47° - 93°

z° = 180° - 140°

z° = 40°

#LearnWithEXO

Answer:

29

Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]

Answer:

p = 125/73

Step-by-step explanation:

−p − 13 = −43p + 23 (5p − 6)

−p − 13 = −43p + 115p − 138

−p − 13 = 72p − 138

+p            +p

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

-13 = 73p - 138

+138         +138

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

125 = 73p

/73     /73

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

125/73 = p

If you need the answer in mixed fraction, then it's --> p = 1 52/73

The solution to the given equation is p = - 1.71

To determine the solution of the given equation,

We will find the value of the variable, p, that satisfies the equation.

From the question, the given equation is

[tex]-p-13 = -43p+23(5p-6)[/tex]

To solve this,

First, Clear the brackets

[tex]-p-13 = -43p + 115p - 138[/tex]

Now, Collect like terms

[tex]-p +43p -115p = -138 + 13[/tex]

[tex]73p = -125[/tex]

Now, divide both sides of the equation by 73

[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]

∴ p = - 1.71

Hence, the solution to the given equation is p = - 1.71

Learn more here: https://brainly.com/question/9956738

Answer:

31.52

Step-by-step explanation:

Just add them...

It won't let me delete sorry thats what someone told me was standard form was

Answer:

You need to move to move up 3 because the number is positive.

Step-by-step explanation:

If the numerator is positive you move up, if it is negative you move down. For the denominator (the number on the bottom) you move to the right if positive or the left if negative.

Answer:

it is the answer thanks

give me brainly

Answer:

Rational

Step-by-step explanation:

Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.

Examples of irrational numbers include:

√2 , -√101 , π (pi)

Examples of rational numbers include:

-0.89 , √16 , 1/3

i hope this helps :)

Answer:

x = -3/2

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

d = √(x2-x1)²+(y2-y2)

d = √((-8-(-1)² - (3-3)²

d = √ (-7)²-0

d = √49

d = 7 units

Answer: 50 pages (not sure) but I hope that still made sense though

Step-by-step explanation:

30% of 15 equals 50

15/30%=50

Answer:

Your answer is A.  A depth of 11 feet below sea level  ( Sea level is 0 in this case ).

Step-by-step explanation:

Answer:

i think the answer is 15

Step-by-step explanation:

four $20 bills would equal $80

$80- $44 because of materials gives you $36

$36 divided by 2.50 equals 15

i hope this makes sense :)

Answer:

<7 58

<5 47

<6 75

<4 107

<8 73

<9 49

all triangles add up to 180 and all lines add up to 180

Answer:

[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]

Answer:

B

Step-by-step explanation:

(x,y)

(0,2)

the 2 lands on the y so therefor 2 is the y-intercept

i hope this helps :)

Answer:

(C) : y[tex]\geq[/tex] x - 2 and x + 2y < 4

Step-by-step explanation:

Answer:

(C) : y ≥ x - 2 and x + 2y < 4

Edge Unit Test 2023

Answer:

a and d

Step-by-step explanation:

3/5

Step-by-step explanation:

8 (3x-7)=-6 (x+7)+4

24x-56=-6x+(-42)+4

24x+6x=-42+4+56

30x=-38+56

30x=18

30x/30=18/30

x=3/5

Answer:

a = 3.5

Step-by-step explanation:

15.4 = -2.1 + a/0.2

Combine like terms:

15.4 = 2.1 + 5a

Swap sides:

-2.1 + 5a = 15.4

Answer:

A=384in²

Step-by-step explanation:

A=6a2=6·82=384in²

It's A.

1. The closed circle connects to the x≥1 function, so that rules out B and C.

2. The x≥1 piece has a positive slope on the graph, so that rules out D.

Hello!

Answer:

x=0

Step-by-step explanation:

Hope this helps!

Answer:  The correct answer is:  " x = 0 " .

________

Step-by-step explanation:

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Method 1)

________

Subtract "8" from each side of the equation:

________

  → " 8 + 8x − 8 = 8 − 8 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            " +8 − 8 = 0 " ;

  →  and we are left with "8x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(8 − 8)" = 0 ;

________

And we are left with:

  →  " 8x = 0 " ;

________

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 2)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Subtract "8" from each side of the equation; in the following manner:

________

   8  +  8x    =    8 ;

 - 8             =   - 8 ;

_____________

   0  +  8x    =    0 ;

→ We have:  " 0 + 8x = 0 " ;

→ Note: On the "left-hand side" ; we have:

                 " 0 + 8x " ;

  We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.

Now, we can bring down the "0" from the "right-hand side" of the equation;

And we can rewrite our equation as:

________

   → " 8x = 0 " ;

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 3)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Divide each side of the equation by "8" ;

________

  → " [tex]\frac{(8 + 8x)}{8} =\frac{8}{8}[/tex] " ;

________

To solve:

________

Note: On the "right-hand side" of the equation:

________

Take note that: " [tex]\frac{8}{8} =[/tex] (8 ÷ 8) = 1 " ;

________

Rewrite the equation as:

________

 →  " [tex]\frac{(8 + 8x)}{8} =1[/tex]  "  ;

________

To solve:

________

Note:  " [tex]\frac{x}{y} = z[/tex] " ;  ↔ [tex]x = z*y[/tex] ; [tex](y\neq 0)[/tex] ;

________

 →  " [tex]\frac{(8 + 8x)}{8} =1[/tex]  "  ;  

 →  From the "left-hand side" of the equation;

      Let us simplify:

________

 →  " [tex]\frac{(8 + 8x)}{8} = \frac{8}{8} + \frac{8x}{8} = 1 + x[/tex] " ;  

Now, bring down the "1" from the "right-hand side" of the equation;

and rewrite the equation:

________

 →  " 1 + x = 1 " ;

Now, subtract "1" from each side of the equation;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

     " 1 + x − 1 = 1 − 1 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            +1 − 1 = 0 " ;

  →  and we are left with "x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(1 − 1)" = 0 ;

  → And we are left with:

      →  " x = 0 " ;

      → which is the correct answer!

________

The correct answer is:  " x = 0 " .

________

Hope that this answer—and the corresponding explanations—

are helpful !

  WIshing you the best!

________

Answer:

unblock miniproxy.com

Step-by-step explanation:

Answer: 4

Step-by-step explanation:Using unitary method :-

5 kg apple → 600 Rs

1 kg apple →

5

600

​

  = 120 Rs

27 kg apple →120×27=3240 Rs

Answer: 16.25 or 16 1/4 miles a week

Step-by-step explanation:

Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.

3.25 x 5 = 16.25