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Firlakuza [10]
3 years ago
7

Suppose I measure the length and width of a rectangle, and get L = 4 +/- 1 m and W = 10 +/- 2m. What is the uncertainty (not fra

ctional uncertainty!) in the area of the rectangle? (recall A = LW)
Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

Step-by-step explanation:

fractional uncertainty, to quantify the precision of a measurement for L and W is

ΔL/L = 1/4 = 0.25 = 25%

ΔW/W = 2/10 = 2/5 = 0.4 = 40%

Now the area of triangle A = L*W = 4*10 = 40m^2

The rules for propagation of error state that when two quantities are multiplied, their fractional uncertainties are added:

So,

ΔA/A = ΔL/L + ΔW/W = 0.25+0.4 = 0.65 =65%

Now we can compute uncertainty in the area, which is

ΔA = A * (ΔA/A) = 40*0.65 = 26%

Finally, we can write the area of the rectangle together with its uncertainty:

A = 40m^2 ± 26%

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diamong [38]

Answer:

2 meters

Step-by-step explanation:

We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).

In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.

Now, we write:

tan(72) = 6/x

To solve, we just multiply both sides by tan(x) and x:

x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.

Thus, the answer is 2 meters.

Hope this helps!

4 0
3 years ago
he graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. Which statement about the domain and range o
vampirchik [111]

Answer:

Out of the four, the only statement true about the parent and the transformed function is:

"The domain of the transformed function and the parent function are all real numbers."

Step-by-step explanation:

Parent function:

f(x) = |x|

Applying transformations:

1. Stretched by a factor of 0.3:

f(x) = 3|x|

2. Translated down 4 units:

f(x) = 3|x| - 4

Transformed function:

f(x) = 3|x| - 4

We can see that:

Range of the parent function = All real numbers greater than or equal to 0.

Range of the transformed function = All real numbers greater than or equal to -4.

Domain of the parent and the transformed function is same and equal to all real numbers.

Hence, the first three statements are wrong and the fourth one is true.

6 0
3 years ago
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The diagonals of a quadrilateral are congruent and perpendicular bisectors of each other. what must the parallelogram be
lukranit [14]
It would be a Square
3 0
3 years ago
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Svetach [21]

Answer:

1/4 > 1/3

Step-by-step explanation:

because its the only that is not equal

6 0
2 years ago
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Illusion [34]
Hi fren,

x=<span><span>−y</span>+<span>1
and for the second one...
</span></span>y=<span><span>2x</span>+<span>2


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</span>
4 0
3 years ago
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