A triangular prism has an equilateral triangle base

Mathematics

1 answer:

anzhelika [568]4 years ago

4 0

Answer:

630 square meters.

Step-by-step explanation:

Given:

A triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 35 meters, and the height of the base is 5.2 meters.

Question asked:

What is the lateral surface area of the prism?

Solution:

As we know:

$Lateral\ surface\ area\ of\ the\ prism=Perimeter\ of\ the\ base\times height\ of\ the\ prism$

Perimeter of the equilateral triangle base = 6 + 6 + 6 = 18 meters

The height of the prism = 35 meters

Lateral surface area of the prism = 18 $\times$ 35 = 630 square meters.

Thus, lateral surface area of the prism is 630 square meters.

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100 points PLEASE ANSWER ASAP thank you so much Please show work

vivado [14]

Answer:

The mistake is that the equation on both sides is multiplied by 8. Both sides should be divided by 8.

Step-by-step explanation:

$8x^2-x-1=0$
$8x^2-x=1$ Divide both sides of the equation by 8
$x^2-\frac{1}{8} x=\frac{1}{8}$
$x^2-\frac{1}{8} x+?=\frac{1}{8} +?$ Add the same value to both side
$x^2-\frac{1}{8} x+\frac{1}{256} =\frac{1}{8} +\frac{1}{256}$
Use $a^2-2ab+b^2=(a-b)^2$
$(x-\frac{1}{16} )^2 = \frac{33}{256}$
$x-\frac{1}{16}=+-\frac{\sqrt{33} }{16}$
$x_{1} =\frac{-\sqrt{33}+1 }{16}$
$x_{2} =\frac{\sqrt{33}+1 }{16}$