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3 years ago

Is a rectangle with curved angles a polygon

1 answer:

3 0

A polygon must have at least 3 sides, but a curved angle isn't a side. This would result in you getting an oval. In short, it would not be a polygon. Hope this helps!

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One positive integer is 6 less than twice another. The sum of their squares is 680 . Find the integers.

NemiM [27]

Let's call the two numbers x and y. The first sentence, one is 6 less than twice another, translates to

$x = 2y-6$

We also know the sum of their squares:

$x^2+y^2 = 680$

So, we have the following system:

$\begin{cases} x = 2y-6 \\ x^2+y^2 = 680 \end{cases}$

We can use the expression for x in terms of y from the first equation to turn the second equation into something involving y alone:

$x^2+y^2 = 680 \to (2y-6)^2+y^2 = 680$

Expand the square:

$5y^2-24y+36 = 680$

Subtract 680 from both sides:

$5y^2-24y-644 = 0$

Using the quadratic equation

$y_{1,2} = \cfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

we find the two solutions

$y_1 = -\cfrac{46}{5},\quad y_2 = 14$

Since we know that both numbers are integer we can only accept the second solution. It yields the following x value:

$x = 2x-6\ \land\ y = 14 \implies x = 2\cdot 14 - 6 = 28-6=22$

4 0

3 years ago

A restaurant has 6 pizza toppings to choose from. How many different 3 -topping pizzas are possible?

daser333 [38]

Since you can choose either with toppings or without 3^6

So 729

BRAINLIEST PLEASE

7 0

3 years ago

A group of 5 friends shares 35 pieces of candy equally. How many pieces of candy does each friend receive?

ludmilkaskok [199]

Answer:

7 pieces of candy each friends have

Step-by-step explanation:

35 ÷ 5 = 7

5 × 7 = 35

so the answer is 7

6 0

3 years ago

Paraplatin 360mg/m2 in 150ml normal saline via ice pump. Drug run over 30 minutes. At what rate should the nurse at IV pump

olasank [31]

<span>Drag concentration( 360mg) per body surface (m2) is irrelevant to the infusion rate, which is volume divided by time, i.e. 150/(30/60) = 300ml/h</span>

7 0

4 years ago

Mark, June & Henry share some money in the ratio 1 : 9 : 4.

Sladkaya [172]

45

Mark brainliest please

Hope this helps

4 0

3 years ago

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