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Arada [10]
3 years ago
14

The coordinates of the vertices for rectangle ABCD are A (2,4), B (6,10), C (9,8) and D (5,2). What

Mathematics
1 answer:
sweet [91]3 years ago
3 0

Answer:

D. \sqrt{65}

Step-by-step explanation:

The computation of the  length of a diagonal (AC or BD) of the rectangle is shown below:

As we know that

The Diagonal length of AC is

= (x_2 - x_1)^2 + (y_2 - y_1)^2\\\\= (9 -2)^2 + (8 - 4)^2\\\\= (7)^2 + (4)^2

= \sqrt{49 + 16}\\\\= \sqrt{65}

Therefore correct option is D.

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Manny has $650 in his savings
Bumek [7]

Answer:

Interest Manny earns after 2 years is  $52

Step-by-step explanation:

Amount deposited = $650

Simple annual interest rate = 4%

To find: Interest after 2 years

We know that the formula to calculate the interest amount is

Simple interest (S.I.) =  \frac{Prt}{100}

where,

P is the initial amount deposited

r is the rate of simple interest in percentage

t is the time in years for which interest is to be calculated

Substituting the known values in the formula, we get

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   = 52

Hence the interest Manny earns after 2 years is  $52

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3 years ago
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Answer:

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Step-by-step explanation:

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PLEASE HELP
Oksana_A [137]

Answer:

A racer has just completed his first lap at a speed of 198m/s. Now his speed decrease or he decelerateted at 195m/s after 2s of his completion of first lap, as soon as he saw a curve path(line segment R). He then moved at a constant speed of 195m/s for the next 2s(line segment s). Then the race track after 4s of the completion of first lap was straight, so the racer accelerated to 200m/s within 2s( line segment T) and traveled at a constant speed for the next 6s( line segment U). After 12s from the first lap completion, he immediately saw a curve track, so he decelerateted to the speed of 194m/s within 3s( line segment V).

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