Find the value of x so that the function has the givin value n(x)=2x+7, n(x)=17
1 answer:
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Answer:
3000
Step-by-step explanation:
Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:
So the volume of the wall is:
Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:
Hence:
In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:
Solving for n:
Therefore, we need 3000 bricks to build that wall.
Translation:
Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:
Entonces el volumen del muro es:
Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:
Por lo tanto:
Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:
Resolviendo para n:
Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.
9514 1404 393
Answer:
- red boat distance: 42 miles
- angle at lighthouse: 22°
Step-by-step explanation:
The Law of Cosines can be used to find the distance from the red boat to the lighthouse.
b² = l² +r² -2lr·cos(B)
b² = 18² +30² +2·18·30·cos(120°) = 1764
b = √1764 = 42
The distance from the red boat to the lighthouse is 42 miles.
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The angle at the lighthouse can be found using the law of sines.
sin(L)/l = sin(B)/b
L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°
The angle between the boats measured at the lighthouse is about 22°.
