A ladder that is 10 feet long leaning against a wall perpendicular to the ground. The point at which the ladder touches the walk is 8 feet above the ground. How far away is the base of the ladder from the bottom of the wall ?

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

Answer:

D

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

These are corresponding angle and corresponding angles are equal

7x-1 = 8x-14

Subtract 7x from each side

7x-1-7x = 8x-14-7x

-1 = x-14

Add 14 to each side

-1+14 = x-14+14

13 =x

Answer:

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Step-by-step explanation:

             35      

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

   7    |   247

             21

          -----------

               37

               35

             ---------

                 2

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

Answer:

i think A is answer you should to do

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Answer:

i can help you i know this question

Answer:

The answer is 7/12 , 6/8 , 4/5 from least to greatest.

Answer

7/12, 6/8, 4/5

Answer:

∠4 = 75°

Step-by-step explanation:

Alternate interior angles are equal.

∠6 and ∠4 are alternate interior angles.

∠6 = ∠4 = 75°

Step-by-step explanation:

l is parallel to m so angle 4=angle 6=75

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

Step-by-step explanation:

here's the answer to your question about

Answer:

2x + 6 = 4x + -2

6 + 2x = 4x + -2

6 + 2x = -2 + 4x

Add -4x to both sides

6 + 2x + -4x = -2 + 4x + -4x

Combine like terms

6 + -2x = -2 + 4x + -4x

6 + -2x = -2 + 0

6 + -2x = -2

add -6 to both sides

6 + -6 + -2x = -2 + -6

0 + -2x = -2 + -6

-2x = -2 + -6

-2x = -8

Divide each side by -2

x = 4

OAmalOHopeO

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Answer:

86.4 M

Step-by-step explanation:

(4 * 4 * 16.2) / 3

Explanation:

You can use a calculator or a Z table here. I'll go with the table option.

Using a Z table, you should find that P(Z < -1.96) = 0.0250

So the remaining area must be 1 - 0.0250 = 0.9750 which represents P(Z > -1.96). This is the same as P(X > -1.96) because X is distributed identical to the Z distribution (mean = 0, std dev = 1).

If you go the calculator route, then it depends on which calculator or computer software you use. If you prefer this route, then let me know which calculator you're using and I'll try to find the correct input to type in for that calculator.

Answer:

a. quadratic.

The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.

Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

To know more about quadratic polynomials follow

https://brainly.com/question/1214333

#SPJ5

Answer:

B and D

Step-by-step explanation:

 x = 9

CB = DB = 61

Step-by-step explanation:

∠CAB = ∠DAB

So,  DB  = CB   {Sides opposite to equal angles are equal}

6x +7 = 3x+ 34

Subtract 7 from both sides.

6x = 3x + 34 - 7

6x = 3x + 27

Subtract 3x from both sides.

6x - 3x = 27

3x = 27

Divide both sides by 3

x = 27/3

x = 9

DB = 6x +7

      = 6*9 + 7

      = 54 + 7

DB =  61

CB = 3x + 34

      = 3*9 + 34

      = 27 + 34

CB = 61

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

Answer:

1

Step-by-step explanation:

So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,

3 + (-3) = 0

so the number is now 4^0.

Everything by the power of 0 is equal to 1, so the answer is 1.

Hope this helps !!

-Ketifa

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

Answer:

[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]