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3 years ago

Natural numbers are ____ integers

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

Natural numbers are the set of positive integers

Step-by-step explanation:

hope this helps

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What is 2 divided by 7

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Step-by-step explanation:

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2 years ago

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An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

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2 years ago

Plz help this is a true or false correct answer only question also giving the points it's worth

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2 years ago

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The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?

victus00 [196]

Answer:

$\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}$

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

$S.A.=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 15in. Substitute:

$S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2$

If you want to get an approximation, then:

$\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2$

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2 years ago

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Andre45 [30]

An inverse variation can be represented by the equation

$xy=k\to y=\dfrac{k}{x}$

We have

$\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x$

Answer: The relationship does not show an inverse variation.

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3 years ago

Natural numbers are ____ integers​

Natural numbers are ____ integers