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1 year ago

Which expression is equivalent to the given expression?

Mathematics

1 answer:

marishachu [46]1 year ago

4 0

Answer:

The third option.

Step-by-step explanation:

$(\frac{4xy^3}{x^2})^2\\\\=(\frac{4y^3}{x})^2\\\\=\frac{16y^6}{x^2}$

Hence the 3rd option.

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3 years ago

Write an equation: the quotient of r and 258 is q

dedylja [7]

258 divided by r = q

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3 years ago

If you roll two number cubes, what is the probability of their sum being seven or higher?

DIA [1.3K]

27 rolls of being 7 or higher

8 0

2 years ago

Read 2 more answers

A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle

maria [59]

8x + 3× + 9x = 180

20x = 180
x = 180/20
x = 9

The smallest angle is: 3×9 = 27 degrees

Note: 180 degrees is the sum of angles in a triangle

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2 years ago

Read 2 more answers

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago