Two sides and the included angle of triangle were measured as under
A = 757.64 +0.045 m
B = 946.70+ 0.055 m
C = 54°18+25"

Answers

Answer 1

Based on the calculations, the area of this triangle is equal to 290,136.87 m².

Given the following data:

Side A = 757.64 +0.045 m.Side B = 946.70+ 0.055 m.Angle, C = 54°18'25"

How to calculate the area of this triangle?

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

b is the base area.h is the height.

In this scenario, the area of this triangle is given by:

Area = 1/2 × a × b × sinC

Substituting the given parameters into the formula, we have:

Area = 1/2 × 757.64 × 946.70 × sin(54°18'25")

Area = 580,273.74/2

Area = 290,136.87 m².

Next, we would determine the probable error of the area by using this formula:

[tex]PE_A = \pm k \sqrt{PE} \\\\PE_A = \pm \frac{1}{2} \times sinC \sqrt{(aPE_b)^2 + (bPE_a)^2 } \\\\PE_A = \pm \frac{1}{2} \times sin(54^{\circ}18'25") \times \sqrt{(757.64 \times 0.045)^2 + (946.70 \times 0.055)^2 } \\\\PE_A = \pm 0.4045 \times \sqrt{1,162.39 +2,711.12}\\\\PE_A = \pm 0.4045 \times \sqrt{3,873.51}\\\\PE_A = \pm 0.4045 \times 62.2375\\\\PE_A = \pm25.1751 \;m^2[/tex]

Therefore, probable error of the area is equal to ±25.1751 m².

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Complete Question:

Two sides and the included angle of a triangle were measured and the probable error of each value were computed as follows:

A = 757.64 +0.045 m

B = 946.70+ 0.055 m

C = 54°18'25"

Determine the area of the triangle and the probable error of the area.


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The answer is

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Answers

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Answers

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How many pounds in 32 kilograms?

Answers

Answer:

it is 70 lbs...........

.

Answer:

Explanation:

The standard conversion factor for pounds and kg is 2.20462 pounds make 1 kg

This is a proportion question. A proportion consists of 2 equal ratios. If 3 of the 4 parts are known, the 4th part can be found.

Givens

1 kg = 2.20462 pounds    (that's 2 of the 4 parts)

32kg = x                             32 kg is our 3rd part.

Solution

1/32 = 2.20462/x                Cross Multiply

x = 32*2.20462

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