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Ad libitum [116K]
3 years ago
10

34. CONSTRUCTION A construction worker is working on the roof of a

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

s=ut+\dfrac{1}{2}at^2

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s

So, it will hit the ground at 6.77 s.

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Sebastian solved the radical equation y + 1 = but did not check his solution. (y + 1)2 = y2 + 2y + 1 = –2y – 3 y2 + 4y + 4 = 0 (
Softa [21]

Answer:

There are no true solutions to the equation.

Step-by-step explanation:

<u><em>The correct equation is</em></u>

y+1=\sqrt{-2y-3}

Solve for y

squared both sides

(y+1)^2=(-2y-3)

(y^2+2y+1)=(-2y-3)

y^2+2y+1+2y+3=0

y^2+4y+4=0

(y+2)(y+2)=0

y=-2

<em>Verify</em>

substitute the value of y in the original expression

-2+1=\sqrt{-2(-2)-3}

-1=1 ----> is not true

therefore

There are no true solutions to the equation.

4 0
3 years ago
un solar tiene forma de 3/4 de círculo unido con un triángulo rectángulo , En este solar va a ser utilizado para sembrar clavele
Stolb23 [73]

Answer:

$1092671.191

Step-by-step explanation:

<u>Cálculo de Areas</u>

El área de un círculo de radio r se obtiene con la fórmula:

A_c=\pi r^2

El área de un triángulo de base b y altura h, perpendicular a la base es:

A_t=\frac{bh}{2}

Si el triángulo es rectángulo, b y h son los catetos

El solar tiene una forma tal como se ilustra en la figura anexa. Para averiguar el costo del abono y del techo, debe calcularse primero el área total a cultivar. Primero se determina el área de 3/4 de círculo de radio 5.9 metros

A_c=\frac{3}{4}\pi r^2

A_c=\frac{3}{4}\pi (5.9)^2

A_c=82.0191302\ m^2

Por su parte, el triángulo mostrado, tiene ambos catetos iguales al radio de círculo, por lo que su área será

A_t=\frac{r^2}{2}

A_t=\frac{(5.9)^2}{2}

A_t=17.405\ m^2

El área total del solar es la suma de ambas:

A_s=82.0191302\ m^2+17.405\ m^2

A_s=99.4241302\ m^2

El metro cuadrado de abono cuesta $8016. El costo de abono es

C_a=99.4241302\ m^2*8016=\$796983.8277

El metro cuadrado de techo cuesta $2974. El costo del techo es

C_t=99.4241302\ m^2*2974=\$295687.3632

El costo total es la suma de los dos anteriores:

Total=\$796983.8277+\$295687.3632

Total=\$1092671.191

El valor total a intervenir para la adecuación del solar es $1092671.191

7 0
3 years ago
Which multiplication expression is equal to 1/4 divided by 1/3
ioda
Um i think that would probably be something like 2.2
4 0
3 years ago
Read 2 more answers
Identify the solution of the system -2x-4y=1<br> 12y=-6x-3
RoseWind [281]
-2x - 4y = 1
<u>12y</u> = <u>-6x - 3</u>
 12         12
   y = -0.5x - 0.25

-2x - 4(-0.5x - 0.25) = 1
-2x + 2x + 1 = 1
0x + 1 = 1
<u>     - 1  - 1</u> 
       <u>0x</u> = <u>0</u>
        0     0
         x = 0
-2(0) - 4y = 1
0 - 4y = 1
<u>-4y</u> = <u>1</u>
 -4    -4
   y = -0.25
(x, y) = (0,-0.25)
6 0
3 years ago
What is an equation of the line through (0,-3) with slope 2/5?
FrozenT [24]

Answer:

y=2/5x-3

Step-by-step explanation:

hope this helps

7 0
3 years ago
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