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ivolga24 [154]
3 years ago
8

An artist wants to recreate a mural of a triangle that is too large to fit onto his canvas. He decides to draw a similar but muc

h smaller version of the triangle with the same proportions. If the lengths of the sides of the larger triangle are 5, 12, and 13 feet, and the hypotenuse of the smaller triangle is 5 feet, what is the approximate length of the shortest side of the smaller triangle?
f) 1.59
g) 1.75
h) 1.85
j) 1.92
k) 2.15
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

13 \div 5 = 5 \div x \\ x =  \frac{5 \times 5}{13}  \\ x = 1.92
The answer is j.
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If the surface area of a cube is 294, whats the length of the cube?
tatyana61 [14]

Answer:

7

Step-by-step explanation:

Total number of surfaces of cube are 6.

Each surface is square.

And area of square is (side)^2

That means, total surface area will be 6 * (side)^2

From question,

294 = 6 * (side)^2 ( Surface area given)

=> 294 ÷ 6 = ( side) ^2

=> 49 = side^2

=> √49 = side

=> 7 = side

So, length of edge of cube is 7

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3 years ago
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SashulF [63]
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4 years ago
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Alla [95]

Answer:

(-3, ∞)

Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

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Finn is allowed to watch TV for 30 minutes every day. Sloane is allowed to watch 4 times as much TV a day. How much TV can Sloan
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7 0
3 years ago
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Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as
fenix001 [56]

Answer:

(a) MAE = 5.20

(b) MSE = 10

(c) MAPE = 38.60%

(d) Forecast for week 7 = 14

Step-by-step explanation:

Note: See the attached excel for the calculations of the Error, Error^2, and Error %.

(a) mean absolute error

MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20

(b) mean squared error

MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10

(c) mean absolute percentage error (Round your answer to two decimal places.)

MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%

(d) What is the forecast for week 7?

Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:

Forecast for week 7 = 14

Download xlsx
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3 years ago
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