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4 years ago

Two adjacent sides of a parallelogram

Mathematics

1 answer:

saveliy_v [14]4 years ago

5 0

Answer:

6748'

Step-by-step explanation:

The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.

a^2 = b^2 +c^2 -2bc·cos(A)

a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)

a^2 = 45,535,553.83

a ≈ 6748.004

The longer diagonal is about 6758 feet long.

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lesya [120]

Answer:

15,120 gallons of water

Step-by-step explanation:

to find the volume, your equation is

v=length * width * height

v=30*18*4=2160 feet cubed

2160*7=15120

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2 years ago

Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.

Darina [25.2K]

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

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4 years ago

Read 2 more answers

To go to school each day, Myra walks 20 yards due south to the bank then 48 yards east. Which measurement is closest to the shor

dedylja [7]

Answer:

Step-by-step explanation:

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3 years ago

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Irving can I remember the correct order of the five digits on his ID number he does remember that the ID number contains the dig

Cloud [144]

Answer: $\frac{27}{125}$

Step-by-step explanation:

Here the total numbers are 1, 4, 3, 7, 6

Since the total number of possible arrangement = $5\times 5 \times5 \times 5 \times 5=5^5$

The total number of the odd numbers in the given numbers = 3

Thus the possible arrangement that the first three digits will be odd numbers = $3\times 3\times 3\times 5\times 5=3^3\times 5^2$

Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement = $\frac{3^3\times 5^2}{5^5} = \frac{3^2}{5^{5-2}}$

= $\frac{3^3}{5^3} = \frac{27}{125}$

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4 years ago

Marcus drew a line from point Y to point W in the rectangle shown below. He created two identical triangles. Classfy the triangl

VikaD [51]

The triangles that would be created if the rectangle has a length and width that are different is a right scalene triangle.

It will have one right angle and all three sides of the triangle will be different lengths because the hypotenuse (the diagonal will be longer than the other two sides.

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4 years ago