5. Find the value of x to the nearest tenth. Volume of the prism is 576 cm? Volume: 576 cm3

Mathematics

1 answer:

Snezhnost [94]3 years ago

8 0

the volume of the triangular prism will be, the area of the triangular face times its length

$\stackrel{\textit{area of the triangle}}{\left[ \cfrac{1}{2}(\underset{b}{8})(\underset{h}{8}) \right]}~~ ~~\stackrel{length}{(x)}~~ = ~~\stackrel{volume}{576}\implies 32(x)=576 \\\\\\ 32x=576\implies x=\cfrac{576}{32}\implies x=18$

You might be interested in

What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 3 kittens. 3/8 pound: 2 kittens. 1/2 pound: 4 kitt

Naya [18.7K]

Answer:

6 pounds

Step-by-step explanation:

1/4 times 3 = 3/4

3/8 times 2: 6/8 = 3/4

1/2 times 4: 4/2 = 2

5/8 times 4: 20/8 = 2 1/2

3/4 + 3/4 = 6/4 = 1 1/2

2 + 2 1/2 + 1 1/2 = 6 pounds

5 0

3 years ago

Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).

kondor19780726 [428]

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

3 0

2 years ago

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .