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svp [43]
3 years ago
10

The delivery ramp at the corner cafe id a right triangle. The hypotenuse is 4 meters long. One leg is 3 meters long. What is the

length of the other leg
f. sqrt 7 meters
g. sqrt 12 meters
h. 3.5 meters
j. 5 meters
Mathematics
2 answers:
disa [49]3 years ago
7 0

Answer:

f. sqrt 7 meters

Step-by-step explanation:

we use Pythagoras' theorem here,

let the unknown side be x,

therefore,

=> 3² + x² = 4²

=> x² = 16 - 9

=> x = √7 m

Kruka [31]3 years ago
6 0

Answer:

f. sqrt 7 meters

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to solve.  We know the hypotenuse is 4 and one leg is 3.  We want to solve for the other leg.

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse.

Substituting into the equation

3^2 + b^2 = 4^2

9+b^2 = 16

Subtracting 9 from each side

9-9+b^2 = 16-9

b^2 =7

Taking the square root of each side

sqrt(b^2) = sqrt(7)

b = sqrt(7) meters

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Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90

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The mean square error is 84.12

The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80

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The mean forecast for period 11 is 53.56


Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
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Need help ASAP !!! And show work please
sammy [17]

Answer:

\sqrt{40} or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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