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3 years ago

1 divided by 9/13 =1 2/5 divided by 1 13/15 = 1 2/3 x 2 1/10 = help

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

Answer:1 divided by 9/13=1.4,1 2/5 divided by 1 13/15=13/2,1 2/3 x 2 1/10=1/1

Step-by-step explanation:

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?

Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

= (285 mi)j + (132 mi)i

= (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

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8 0

1 year ago

If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai

melomori [17]

Answer:

y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

dy/dx = v + x*dv/dx

- Combine the two equations:

v + x*dv/dx = 0.5*(1/v) + 2.5*v

x*dv/dx = 0.5*(1/v) + 1.5*v

x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

(2v.dv / (v^2 + 1) = dx / x

- Integrate both sides:

Ln (v^2 + 1) = Ln(x) + C

v^2 + 1 = Cx

v = sqrt(Cx - 1)

- Back substitution:

(y/x) = sqrt(Cx - 1)

y = x*sqrt(Cx - 1)

3 0

3 years ago

Find the equation of a line parallel to 2x-3y+6=0, with the same y-intercept as y=7x-1

shepuryov [24]

The answer is y=2/3x -1

5 0

3 years ago

3rd time asking for helpppp plz answer number 3

finlep [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Rewrite in simplest rational exponent form x^1/2*X^1/4

jasenka [17]

Answer:

$\sqrt[4]{x^3}$

Step-by-step explanation:

First, let's examine our original statement.

$x^{\frac{1}{2} }\cdot x^{\frac{1}{4}}$

Using exponent rules, we know that if we have $x^a \cdot x^b$ , then simplified, the answer will be equivalent to $x^{a+b}$ .

So we can simplify this by adding the exponents $\frac{1}{2}$ and $\frac{1}{4}$ .

Converting $\frac{1}{2}$ into fourths gets us $\frac{2}{4}$ .

$\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$ .

So we now have $x^{\frac{3}{4}}$ .

When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.

Basically, this becomes

$\sqrt[4]{x^3}$ . (The numerator is what we raise x to the power of, the denominator is the root we take of that).

Hope this helped!

4 0

3 years ago

Read 2 more answers