Your teacher gave you 4/5 of a bag of candy, but she only gave your friend 2/3 of a bag.

Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta A. x + y = 2 B. y = 2x C. x =

Mila [183]

$r=2\cos\theta$
$r^2=2r\cos\theta$
$\implies x^2+y^2=2x$
$x^2-2x+y^2=0$
$x^2-2x+1+y^2=1$
$(x-1)^2+y^2=1$

8 0

3 years ago

Read 2 more answers

A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al

ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

$A=\dfrac{1}{2}\times base\times height$

In a right angle triangle, the area of the triangle is

$A=\dfrac{1}{2}\times leg_1\times leg_2$

Putting A=18 and $leg_1=6$ , we get

$18=\dfrac{1}{2}\times 6\times leg_2$

$18=3\times leg_2$

Divide both sides by 3.

$\dfrac{18}{3}=leg_2$

$6=leg_2$

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0

3 years ago

Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's

zloy xaker [14]

Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4.

$\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}$
$\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}$
$\frac{12}{12} - \frac{10}{12} = \frac{2}{12}$

It can then be concluded that each parent ate $\frac{1}{12}$ of the cake, since there was $\frac{2}{12}$ remaining.

You can check this answer by adding up all of the parts we used in this problem:

$\frac{3}{12} + \frac{3}{12} + \frac{4}{12} + \frac{1}{12} + \frac{1}{12} = \frac{12}{12}$

Hope this helped you out! :-)

3 0

3 years ago

The graph shows the distance a car traveled, y, in x hours: What is the rise-over-run value for the relationship represented in

pychu [463]

It goes up 3 and over 5, so 3/5 or .6

3 0

2 years ago

Read 2 more answers

100 is 1/10 of what?

lawyer [7]

$\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

<h3>Further explanation </h3>

The question can be rewritten to $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }$

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.

Let's arrange it into an equation, i.e., $\boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }$

Turn this equation over so that the position of variable M is on the left side.

$\boxed{ \ M \times \frac{1}{10} = 100 \ }$

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.

$\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }$

M = 1,000

Therefore, we have calculated the number that was asked.

Hence $\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }$

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:

Adding
Subtracting
Multiplying, and/or
Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., $\boxed{ \ a \times b = b \times a \ }$

<h3>Learn more </h3>

The similar case brainly.com/question/106300
The similar case brainly.com/question/96882
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation

7 0

2 years ago