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viva [34]
3 years ago
8

A lot is 21 ft by 30 ft. To support a fence, an architect wants an upright post at each corner and an upright post every 3 ft in

between. How many of these posts are needed?
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0
What we know:
Lot= 21 x 30ft
Perimeter=2l+2w
Want to put 4 corner post and one post every 3 ft

What we need to find:
How many post we need.

Perimeter=2 (21)+2 (30)=42+60=102ft

102/3=34

34 posts are needed.
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Un prisma cuadrangular regular tiene 4 m de arista de la base y 6m de altura Calcula el area y el volumen
mario62 [17]

Answer:

El área y volumen del prisma cuadrangular mencionado son respectivamente:

  • <em>Área =</em> 16m^{2}
  • <em>Volumen =</em> 96m^{3}

Step-by-step explanation:

Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:

  • <em>Área de un cuadrado = </em>arista^{2}

Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:

  • Área de un cuadrado = (4m)^{2}
  • Área de un cuadrado = 16m^{2}

Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:

  • <em>Volumen de un prisma cuadrangular = área superficial * altura</em>
  • Volumen de un prisma cuadrangular = 16m^{2} * 6 m
  • Volumen de un prisma cuadrangular = 96m^{3}

Como puedes ver tras los cálculos, <u><em>el área superficial del prisma es de </em></u>16m^{2}<u><em> y su volumen es </em></u>96m^{3}.

7 0
3 years ago
Geoffrey needs to find the circumference of a circle. Which process should he use?
Cerrena [4.2K]

Answer:

2 \times 3.14 \times radius

B

7 0
3 years ago
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Given the system of equations, what is the x-coordinate of the solution?
Nimfa-mama [501]
Answer: Choice C) -11

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

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x. 
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
6 0
3 years ago
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The sum of two numbers is 36. One number is 8 more than the other one. Find the two numbers and explain your thinking
Dmitriy789 [7]

Answer:

ummmm ok give a sec

Step-by-step explanation:

5 0
3 years ago
6) BRAINLIEST &amp; 10 + POINTS!
MA_775_DIABLO [31]

Answer:

the height of the building is approximately 134 yards

Step-by-step explanation:

Recall that i order to use the arc-length formula:

arc\,\,length=R\,\theta

we know the radius R, but the angle \theta must be given in radians. Then we convert 4.5^o to radians, and then use 1700 yards as the radius in the formula.

4.5^o*\frac{\pi}{180} =0.07854

Therefore, the arc length formula would render:

arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards

which rounded to the nearest yard becomes: 134 yards

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3 years ago
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