jocelynbarraza

jocelynbarraza

13.01.2021 •

Mathematics

Find the total surface area of this prism where the cross-section is an isoceles trinagle attachement.

Find the total surface area of this prism where the cross-section is an isoceles trinagle

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Ответ:

timithythaxton

16.10.2020

$A = (\frac{80}{3},9)$

B = (5,2.5)

The slope is 0.3

Step-by-step explanation:

Given

y = 0.3x + 1

A = (-,9)

B = (5,-)

Required:

Fill in the gap and calculate the slope

In A = (-,9)

y = 9 and x is ??

Substitute 9 for y in y = 0.3x + 1

9 = 0.3x + 1

Collect Like Terms

0.3x = 9 - 1

0.3x = 8

$x = \frac{8}{0.3}$

$x = \frac{80}{3}$

So:

A = (-,9)

$A = (\frac{80}{3},9)$

In B = (5,-)

x = 5 and y is ??

Substitute 5 for x in y = 0.3x + 1

y = 0.3 * 5 + 1

y = 1.5 + 1

y = 2.5

So:

B = (5,-)

B = (5,2.5)

Calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2.5-9}{5 - \frac{80}{3}}$

$m = \frac{-6.5}{\frac{15- 80}{3}}$

$m = \frac{-6.5}{\frac{-65}{3}}$

$m = \frac{-6.5*3}{-65}$

$m = \frac{-19.5}{-65}$

m = 0.3

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