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3 years ago

Convert 2pi/3 to degrees

2 answers:

4 0

So we're converting a radian to a degree.

So we'll do 2pi/3 times 180/pi. The pi's cancel out and the 3 and 180 and be simplified to 60. You're then left with 2 times 60 which gives you your answer of 120 degrees.

Eva8 [605]3 years ago

3 0

The degree would be 120 degrees

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How many plants x should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)? expr

AnnZ [28]

There are 5 plants x that should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)

<h3>Further explanation </h3>

Maria wants to plant a small tomato garden in her yard. She bought 25 tomato plants, and she has read that ideally tomatoes are planted in a square grid to help them pollinate each other, as shown in the picture below.

How many plants x should she plant in each row so that her 25 plants end up in a square (i.e., x plants in each of x rows)? Express your answer as an integer.

If the gardener has x plants in each of her x rows, then the total number of plants will be $x^2$ .

Since there are 25 total plants, the correct value of x will satisfy the equation $x^2 = 25$

By taking the square root of both sides and note that 25 has both a positive and a negative square root because you can't have a negative number of plants, hence you only want the positive square root:

You can solve this part simply by simple arithmetic.

$x^2 = 25,$ so $x = 5,$

<h3>Learn more</h3>

Learn more about Quadratic Equations brainly.com/question/10278062

<h3>Answer details</h3>

Grade: 9

Subject: mathematics

Chapter: Quadratic Equations

Keywords: Quadratic Equations

3 0

3 years ago

Read 2 more answers

Identify the slope and intercept of the following linear equation.

IrinaK [193]

Answer:

3/7 is the slope and -5 is the y intercept

Step-by-step explanation:

y=3/7x-5

The equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

3/7 is the slope and -5 is the y intercept

3 0

3 years ago

Read 2 more answers

Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.

jok3333 [9.3K]

Answer:

$\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1$

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

$\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}$

And, the distance from P to (0, -2) will be:

$\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}$

So sum of the two distances must be 6. Therefore:

$d_1+d_2=6$

Now, by substitution:

$(\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6$

Simplify. We can subtract the second term from the left:

$\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}$

Square both sides:

$(x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)$

We can cancel the x² terms and continue squaring:

$y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4$

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

$-8y=36-12\sqrt{x^2+(y+2)^2}$

We can divide both sides by -4:

$2y=-9+3\sqrt{x^2+(y+2)^2}$

Adding 9 to both sides yields:

$2y+9=3\sqrt{x^2+(y+2)^2}$

And, we will square both sides one final time.

$4y^2+36y+81=9(x^2+(y^2+4y+4))$

Distribute:

$4y^2+36y+81=9x^2+9y^2+36y+36$

The 36y will cancel. So:

$4y^2+81=9x^2+9y^2+36$

Subtracting 4y² and 36 from both sides yields:

$9x^2+5y^2=45$

And dividing both sides by 45 produces:

$\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1$

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

5 0

3 years ago

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Austin qualified for a $30,000 loan with 7.49% interest in order to buy a new ski boat. The term of his loan is 10 years and his

sertanlavr [38]

Answer:

$12,714

Step-by-step explanation:

Loan Amount=$30,000

Monthly Payment =$355.95.

Number of Payment Period = 10 Years X 12 Months =120 Months

Total Payment to be made by Austin =120 X 355.95=$42,714

Therefore:

The interest Austin will pay=Total Payment-Loan Amount

=$42,714-30,000

=$12,714

7 0

3 years ago

Tom went to the supermarket and could not spend more than $30.00. He spent $9 on dairy

valina [46]

Answer:

it will be c

Step-by-step explanation:

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3 years ago