If you place a 36 foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building how tall is the building round to the nearest tenth of a foot

Answer:

No solution is possible form the given informantion

Step-by-step explanation:

There seems to be something missing.

Answer:

I. x = 14.115 and y = 9.115

II. x = 0.885 and y = -4.115

Step-by-step explanation:

Translating the word problem, we have;

x - y = 5  ......equation 1

x² + y² = 100  ...... equation 2

x = y + 5  ...... equation 3

Substituting eqn 3 into eqn 2, we have;

(y + 5)² + y² = 100

Simplifying further by opening the bracket, we have;

(y + 5)(y + 5) + y² = 100

y² + 5y + 5y + 25 + y² = 100

y² + 10y + 25 + y² = 100

2y² + 10y + 25 = 100

2y² + 10y + 25 - 100 = 0

2y² + 10y - 75 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 2, b = 10 and c = -75

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] y = \frac {-10 \; \pm \sqrt {10^{2} - 4*2*(-75)}}{2*2} [/tex]

[tex] y = \frac {-10 \pm \sqrt {100 - (-600)}}{4} [/tex]

[tex] y = \frac {10 \pm \sqrt {100 + 600}}{4} [/tex]

[tex] y = \frac {10 \pm \sqrt {700}}{4} [/tex]

[tex] y = \frac {10 \pm 26.46}{4} [/tex]

[tex] y_{1} = \frac {10 + 26.46}{4} [/tex]

[tex] y_{1} = \frac {36.46}{4} [/tex]

[tex] y_{1} = 9.115 [/tex]

Or

[tex] y_{2} = \frac {10 - 26.46}{4} [/tex]

[tex] y_{2} = \frac {-16.46}{4} [/tex]

[tex] y_{2} = -4.115 [/tex]

Next, we would find the value of x;

x = y + 5

When y = 9.115

x = 9.115 + 5

x = 14.115

When y = -4.115

x = -4.115 + 5

x = 0.885

Check:

x - y = 5

14.115 - 9.115 = 5

Answer:

per inch 0.90 cents hhhhhhjjkolllll

Answer:

C none of the above

Step-by-step explanation:

A negative divided by a negative is a positive

- ( l/ -m) = + l/m

A is negative

B is negative ( negative negative negative is negative)

Answer:

2/7

Step-by-step explanation:

1

2

÷  

1 3

4

=  

1

2

÷  

7

4

=  

1

2

×  

4

7

=  

1 × 4

2 × 7

=  

4

14

=  

4 ÷ 2

14 ÷ 2

=  

2

7

Answer:

they are similar

Step-by-step explanation:

1.6/1.2=1.3333

2.8/2.1=1.3333

they are similar as their ratios of the legs are equal

Answer:

A=LxW

Step-by-step explanation:

It is same as the area of rectangles

A=LxW

Answer:

To find first Base and height of parallelogram then

Area= b×h

Answer:

(-5, 4)

Step-by-step explanation:

Finding the X of B

-2 = x2+x1/2

-2 = x2+1/2 (substituted X co-ord of A into x1)

-4=x2+1 (multiplied both sides by 2)

-5=x2 (brought 1 to the other side)

Finding the Y of B

1 = y2+y1/2

1 = y2 - 2/2 (substituted Y co-ord of A into y1)

2 = y2 -2 (multiplied both sides by 2)

4 = y2 (brought 2 to the other side)

Answer:

30

Step-by-step explanation:

To find the greatest number divisible : find the GCF

[tex]60 = 2 \times 2 \times 3 \times 5 = 2^2 \times 3^1 \times 5^1\\\\90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5\\\\120 = 2 \times 2 \times 2 \times 3 \times 5 = 2^3 \times 3^1 \times 5^1[/tex]

[tex]Therefore \ , GCF = 2 \times 3 \times 5 = \ 30[/tex]

Therefore greatest number in which 60, 90 , 120 are  divisible = 30

The greatest number is 30 which is divisible by 60, 90, and 120.

The least common multiple is defined as the least positive integer that is dividable by both given numbers. A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

To find the greatest number in which 60, 90, and 120 are all exactly divisible, we can find the least common multiple (LCM) of these three numbers.

The LCM is the smallest positive integer that is exactly divisible by all of the numbers in question.

One way to find the LCM of 60, 90, and 120 is to list the prime factorization of each number and then take the highest exponent of each prime factor:

60 = 2 x 2 x 3 x 5

90 = 2 x 3 x 3 x 5

120 = 2 x 2 x 2 x 3 x 5

The LCM of 60, 90, and 120 is then 2 x 3 x 5 = 30.

Therefore, 30 is the greatest number in which 60, 90, and 120 are all exactly divisible.

To learn more about the Least Common Multiple(LCM) here :

https://brainly.com/question/17256135

#SPJ2

Answer:

5. 4

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]

brainliest please

Step-by-step explanation:

x+2y ≥ 4 => y ≥ -½x +4

-2x + y > -3 => y > 2x - 3

Answer:

Work out the equations of the lines first.

The solid line

The line is:

The dotted line

The line is:

The intercession zone is above of both of the lines, so the inequalities are:

Answer:

En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Step-by-step explanation:

En un videojuego en el nivel 1 hay 2 pruebas.

El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).

Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.

Entonces, por ejemplo, en:

Entonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁵= 32 pruebas

mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁹= 512 pruebas

Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.

Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.

Entonces, esto es una serie geometrica, que se puede escribir como:

[tex]A_n = A_1*2^{n - 1}[/tex]

Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.

Entonces escribimos:

[tex]A_n = 2*2^{n-1} = 2^n[/tex]

En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:

[tex]A_5 = 2^5 = 32[/tex]

Es decir, hay 32 pruebas en el nivel 5.

Para el nivel 9 tenemos n = 9, entonces hay:

[tex]A_9 = 2^9 = 512[/tex]

Hay 512 pruebas en el nivel 9.

Sí quieres aprender más. puedes leer:

https://brainly.com/question/18790599

Answer:

x = 9

Step-by-step explanation:

|x - 9| = 0

x = 9

|9 - 9| = 0

|0| = 0

0 = 0

Step-by-step explanation:

-4

MARK AS BRAINLIEST...........

Answer:

2+(-6)

2-6

-4

Your Welcome

BIFFY OUT!!!

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

Answer: 4

Step-by-step explanation: bc

Answer:

3a^2 + 5a - 2

Step-by-step explanation:

(a + 2)(3a - 1)

a(3a - 1) + 2(3a - 1)

3a^2 - a + 6a - 2

subtract like terms

3a^2 + 5a - 2

Step-by-step explanation:

yes that's the answer

can you please give me brainliest

and use DESMOS app for drawing graphs

Answer:

La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.

Step-by-step explanation:

Answer:

x=74

Step-by-step explanation:

The angle H = x

We know angle M also is x because the sides are the same length

The sum of the angles of a triangle add to 180

x+x+32 = 180

Combine like terms

2x+32 =180

Subtract 32 from each side

2x = 180-32

2x =148

Divide by 2

2x/2 =148/2

x=74

Answer:

the answer is D

Answer:

Option C

Step-by-step explanation:

There are 17 elements in the sample space, here.

Answer:

C

Step-by-step explanation:

Answer:

??????

Step-by-step explanation:

Answer:

The radius of the circle is 2 units.

Step-by-step explanation:

The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.

Answer: the last one

Step-by-step explanation:

Answer:

ans: 80 °

Step-by-step explanation:

given two triangle are isosceles triangle so,

triangle having angle a;

a + 2d = 180

d = 54° ( since a= 72°)

d is vertically opposite to angle of triangle containing x,

similar reason for b ,

hence

x+ d + b = 180

x = 180 - 54 - 46

= 80°

Answer:

obtion b and d

Step-by-step explanation:

4x + 5 = -4x + 5

4x + 4x = 5 - 5

8x = 0

x = 0/8

x = 0     (this has solution)

-4x + 5 = -4x - 4

-4x + 4x = -4 + 5

0 = -1   (this has no solution)

5x + 5 = -4x - 4

5x + 4x = -4 - 5

9x = -9

x = -9/9

x = -1                   (this has solution)

-4x + 5 = -4x - 5

-4x + 4x = -5 -5

0 = -10       (this has no solution)

Answer:

6.6%

Step-by-step explanation:

Note: I had to correct the given data

Given data

Initial charges= $7.50

Final charges= $8.0

Percent increase

% increase= Final-initial/initia*100

% increase= 8-7.5/7.5*100

% increase= 0.5/7.5*100

% increase= 0.066*100

% increase= 6.6%

Answer:

36 9/16 in

Step-by-step explanation:

Amount of wood left = original length of the wood - length cut - length wasted

45[tex]\frac{1}{2} - \frac{1}{16} - 8\frac{7}{8}[/tex]

[tex]37\frac{8 - 1 - 14}{16}[/tex]

[tex]37\frac{-7}{16}[/tex]

36[tex]\frac{9}{16}[/tex]

Answer:

Step-by-step explanation:

There are 2 repeating digits in .64(with a line over both of those numbers). The value to multiply on to both sides will be 100. To find the fraction that represents the repeating decimal, there are steps to follow. First, make sure the decimal is just before the repeating decimals. It is, so we are good there. Next, move the decimal over how ever many places to get it right after the repeating numbers. That means moving the decimal 2 places to the right. That's the same as multiplying by 100:

100x = 64.6464

What we have now is a system with the equation above and

x = .6464

We subtract them:

100x = 64.6464

-     x =     .6464

to get

99x = 64. Solving for x:

x = 64/99

That's how you change a repeating decimal to a fraction.