Hey guys I need some heeeeeeelp please and thank you; Please explain
50 points

Answer:

The length of the ladder is 7.21 feet

Step-by-step explanation:

Let

y = Height of the wall

x = Distance between the wall and the ladder (bottom)

L = Length of the ladder

So, the given parameters are:

[tex]\frac{dy}{dt} = -2ft/s[/tex]

When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:

[tex]L^2 = x^2 + y^2[/tex]

Differentiate with respect to time

[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

The length of the ladder does not change with time. So:

[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

Rewrite as:

[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]

Recall that:

[tex]\frac{dy}{dt} = -2ft/s[/tex] and  [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

So:

[tex]4 * 3 = -y * -2[/tex]

[tex]12 = 2y[/tex]

[tex]6 = y[/tex]

[tex]y = 6[/tex]

Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]

[tex]L^2 =4^2 + 6^2[/tex]

[tex]L^2 =52[/tex]

[tex]L = \sqrt{52[/tex]

[tex]L = 7.21ft[/tex]

Answer:

40.95

Step-by-step explanation:

First, calculate the tax rate for the belt.

$25 is 1/4 of 100. 5% of 100 is 5, so the tax for 25 is 1/4 of 5, or 1.25.

Next, calculate the tax for the shirt. 14*0.05=0.7

Add everything together.

14+25+0.7+1.25=40.95

Answer:

Step-by-step explanation:

GXI with three points sounds like a triangle and a triangle angle equals 180 degrees.

Add picture and I'll try to solve full problem

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

9514 1404 393

Answer:

  y = (x -7)² +9

Step-by-step explanation:

The vertex form of the quadratic equation is ...

  y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'

If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...

  y = (x -7)² +9

Answer:

1/4

Step-by-step explanation:

Answer:

First add 3 to each side

Then divide each side by 5

Step-by-step explanation:

5x - 3 = 12

First add 3 to each side

5x-3+3 = 12+3

5x = 15

Then divide each side by 5

5x/5 = 15/5

x = 3

Answer:

3

Step-by-step explanation:

5x = 12 + 3

x = 15/5

x = 3

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

Answer:

The median is 8.5

Step-by-step explanation:

The median is the middle number in a data set. For example, if you had a data set:

2, 2, 3, 4, 4

You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.

However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.

For example, if the final two numbers were:

2, 6

You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.

In this set, we have

5, 8, 8, 8, 8, 9, 9, 9, 10, 10.

The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.

33% of 75 is 25... Hope that helps!!

Answer:

Equation - $1000=$300+$7.50x

Answer - Mr. Chamberlain can included 93 Student Entries

Step-by-step explanation:

$1000 (budget)

$300 (cost to rent bus)

$7.50 (cost of each student entry)

$1000-$300= $700

Now we have found out that Mr. Chamberlain has $700 left to spend on student entries.

$700/$7.50 = 93.333

Round 93.333 down to 93 because you can't have 1/3 of a student (obviously)

93 = the max number of student entries that Mr. Chamberlain can have for the museum field trip

I hope this helps :)

Answer:

The third option 56

Step-by-step explanation:

56 is the middle number but I'm sorry if I'm wrong

Answer:

Y = 2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

athe correct answer of this question is 6x + 3y = 5

Answer:

2(1.75+3.00) and 3.50x+6.00

Step-by-step explanation:

have a great day :D

Step-by-step explanation:

D

Answer:

I am thinking 8 amigo, i could be wrong, so please look it up, or try to think about how to do it

Step-by-step explanation:

I hope you have a blessed day!

Answer:

Step-by-step explanation:

Answer:

[tex]1 \frac{1}{2}[/tex]

Answer:

28

Step-by-step explanation:

1/4 can be rewritten as  1 / (2^2)

or 2^-2.

using the 2nd form,

we have 2^-2 * 2^30 = 2^x

By exponent rule

2^28 = 2^x

So we can observe now that x = 28

Answer:

23

Step-by-step explanation:

Answer:

Step-by-step explanation:

2m = 82

m = 41

divide by 2

answer is D

Answer:

divide by 2; m = 41

Step-by-step explanation:

divide by 2; m = 41

According to PEMDAS you have to divide

Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

Answer:

C

Step-by-step explanation:

Pentagon

Hope this helps (:

Answer

C). pentagon is the correct answer.

Step-by-step explanation:

A pentagon has 5 congruent sides and 5 angles.

Answer:

x=6,1,5 is your answer look it once

Answer:

Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.

Step-by-step explanation:

you have to study

Answer:

A,B and D form a triangle

Step-by-step explanation:

A - Side = 16 cm, side = 8 cm, side = 7 cm

16>8+7=15 form a triangle

B.- Side = 16 cm, side = 9 cm, side = 7 cm

16>9+7=16 form a triangle

C - Side = 17 cm, side = 12 cm, side = 7 cm

18>12+7=19 not form a triangle

D - Side = 17 cm, side = 11 cm, side = 5 cm

17>11+5=16 form traingle

Answer:

1.11 will be the answer

Step-by-step explanation:

Answer:

The Area is 13 sq m

Step-by-step explanation:

hope it helps you..

Answer:

22 is right answer I think

Answer:

confess and believe are the two main words.

Step-by-step explanation:

Just got this right :')

Answer: $12,000

Step-by-step explanation:

The Income statement shows the Net Profit or Loss for a company in a given period. That Net income is calculated by subtracting expenses from the revenue for the period:

= Revenue - Expenses

= 15,000 - 3,000

= $12,000