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3 years ago

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On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction

from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15. b When will A and B be 220 units apart?

1 answer:

AleksAgata [21]3 years ago

8 0

Answer:

20 seconds

Step-by-step explanation:

A is moving at the speed of 6t and B is moving at the speed of 5t. 6t +5t = 11t, and 220 divided by 11 = 20.

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Anuta_ua [19.1K]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

First in triangle ABC

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According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

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$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

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Perpendicular=p=8cm

Base =b=15cm

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According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

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$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

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$\longrightarrow$ $\sf h={\sqrt {289}}$

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