3 years ago

What is the volume of this triangular prism?

Mathematics

1 answer:

leva [86]3 years ago

8 0

Where are the numbers

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Is 7/20 equal to 0.35

andrew11 [14]

Answer:

yes it is

Step-by-step explanation:

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3 years ago

Solve the question below 77

Vadim26 [7]

Answer:

<em>The height of the monument is 124.8 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.

Taking the angle of 68° as a reference:

$\displaystyle \tan 68^\circ=\frac{h}{48}$

Solving for h:

$\displaystyle h=48\tan 68^\circ$

Calculating:

h = 118.8 ft

The height of the monument is 118.8 ft + 6 ft = 124.8 ft

6 0

3 years ago

Evaluate ,where e is the solid that lies between the cylinders x^2+y^2=1 and x^2+y^2=16, above the xy-plane, and below the plane

MA_775_DIABLO [31]

Assuming you're just computing the volume, i.e.

$\displaystyle\iiint_E\mathrm dV$

we should convert to cylindrical coordinates first, setting

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}$

so that the volume is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\int_{\theta=0}^{\theta=2\pi}\int_{r=1}^{r=4}\int_{\zeta=0}^{\zeta=r\sin\theta+4}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which has a value of $60\pi$ .