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2 years ago

Solve for x. z = 6 π x y

Mathematics

2 answers:

rusak2 [61]2 years ago

3 0

The answer to the question

Advocard [28]2 years ago

3 0

Answer:

The value of the equation for x is $x=\frac{z}{6 \pi y}$ .

Step-by-step explanation:

Consider the provided equation.

$z = 6 \pi x y$

We need to solve the above equation for x.

Divide both the sides by $6 \pi y$ .

$\frac{z}{6 \pi y} =\frac{6 \pi x y}{6 \pi y}$

$x=\frac{z}{6 \pi y}$

Hence, the value of the equation for x is $x=\frac{z}{6 \pi y}$ .

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A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4

Drupady [299]

Answer:

It begins to move toward the right

Explanation:

The given information can be summarized in this way:

First force vector: Fg = - 8N (vertical down)

Second force vector: Ft = 6N (horizonal right)

Third force vector: FN = 8N (vertical up)

Fourth vector: Ff = - 4N (horizontal left)

Following Newton's second law, net force equal mass times acceleration:

Net force = mass × acceleration

To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)

Vertical force balance:

Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.

Horizontal force balance:

Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.

6 0

2 years ago

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Brums [2.3K]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

Which of the following are terms in the sum of the given polynomials? 3x2,-2x2y, 2xy2, 4y2, xy2, -y2,2x2y

vampirchik [111]

Create the sum of the given polynomial terms.
f(x,y) = 3x² - 2x²y + 2xy² + 4y² + xy² - y² + 2x²y
= 3x² + 3xy² + 3y²

Test the given terms to see if they belong in f(x,y).
3: NO
3x²: YES
3y²: YES
3xy²: YES
4x²: NO

Answer:
The terms in the sum of the given polynomials are 3x², 3y², and 3xy².

6 0

2 years ago

In triangle XYZ, if angle X is congruent to angle Z, XY = 13x - 21, YZ = 8x - 6, & XZ = x + 4, find x & the measure of e

Naily [24]

Answer:

Given: In triangle XYZ, $\angle X \cong \angle Z$ , XY=13x-21 , YZ=8x-6 and XZ=x+4.

If two angles are congruent if and only if, they measure the same number of degrees.

therefore, from the given condition; $\angle X = \angle Z$ .

Isosceles Triangle : An triangle with two equal sides. The angles opposite the equal sides are also equal.

Therefore, the triangle XYZ is an isosceles triangle, as the base angle $\angle X$ and $\angle Z$ are equal and the sides opposite to these angles are also equal i.e, XY=YZ.

Since, we have XY=YZ ,

⇒ 13x-21 =8x-6 or

13x-8x=21-6 or

5x=15

Simplify:

x=3

Therefore, the sides of an isosceles triangle are:

XY = 13x-21 = $13\cdot 3 -21$ = 39-21 = 18 unit ,

YZ = 8x-6 = $8 \cdot3 -4$ = 24-6 =18 unit,

and XZ = x+4 = 3+4 =7 unit.

Since, the triangle is isosceles, we draw a line from an vertex angle Y of a triangle XYZ which is perpendicular (i.e, of 90 degree angle) to opposite side meets the opposite side at its midpoint i.e, say W.

As W is the midpoint(i.e, it divide the sides into two equal halves),

XW=WZ = $\frac{7}{2} =3.5$ unit

Now, use the Pythagorean theorem, to find the altitude WY.

⇒ $(WY)^2+(WZ)^2=(YZ)^2$

Substitute the value of WZ = 3.5 unit and YZ = 18 unit in above formula to calculate the length of WY;

⇒ $(WY)^2+(3.5)^2=(18)^2$

Simplify:

$(WY)^2=324-12.25=311.75$ or

$WY=\sqrt{311.75}$

On simplify we get;

WY=17.65 unit(approx.)

The vertex angle Y is split into two equal angles, we can find the vertex angle by finding the one of the base angle by using the fact; $Cosine = \frac{Base}{Hypotenuse}$ .

⇒ $\cos Z =\frac{3.5}{18}$

⇒ $\cos Z = 0.195$ (approx) or

$Z=\cos^{-1}(0.195)$

Therefore, the angle $\angle Z = 78.7^{\circ}$ .

The sum of the measure of the angle in the triangle is 180 degree.

In triangle XYZ.

$\angle X +\angle Y+\angle Z =180^{\circ}$

Since $\angle X=\angle Z =78.7^{\circ}$

then,

$78.7^{\circ}+\angle Y+78.7^{\circ}=180^{\circ}$

⇒ $157.4^{\circ}+\angle Y=180^{\circ}$

Simplify:

$\angle Y=22.6^{\circ}$ .

Therefore, the measure of each angle are: $\angle X=\angle Z=78.7^{\circ}$ and $\angle Y =22.6^{\circ}$

8 0

2 years ago

Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers

Westkost [7]

Answer:

Miguel start to swim when Ario has traveled 4.4 m.

Step-by-step explanation:

The total lenght of the pool is 25.

Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is $25-3$ m= 22 m.

Assume that the distance traveled by Ario before Miguel start to swin is $x$ . That means, the remaining distance to Ario (to cover the total size of the pool) is $22-x$ .