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2 years ago

I need help with this worksheet.

Mathematics

1 answer:

marin [14]2 years ago

6 0

Step-by-step explanation:

there are three phases here

in the first phase, the swimmer moved at a constant acceleration, at the second, there was no acceleration since there wasn't any decrease in speed, the third, it's actually deceleration, but it's still constant

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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.

Colt1911 [192]

Given:

• AD = 3

• DC = 27

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

$\frac{AD}{BD}=\frac{BD}{DC}$

Where BD is the altitude.

Cross multiply:

$BD^2=AD*DC$

Plug in the values and solve for x:

$\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}$

Therefore, the value of x is 6 .

ANSWER:

d. 6

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Step-by-step explanation:

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