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2 years ago

Is "8.313313331..." a rational or irrational number

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

7 0

Answer:

Irrational

Step-by-step explanation:

Repeating decimals are rational. Nonrepeating are irrational.

This is a nonrepeating decimal. First you have one 3, then two 3s, then three 3s. It's not a repeating pattern. So it's an irrational number.

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Vera_Pavlovna [14]

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1 year ago

Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe

DochEvi [55]

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

$C=2\pi r$

r is radius

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m$

The volume of a right circular cone is given by the formula as :

$V=\dfrac{1}{3}\pi r^2h$

$V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3$

7 0

2 years ago

Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result

shtirl [24]

Answer:

Max is correct

Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.

If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the image will end up in quadrant IV.

Step-by-step explanation

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7 0

2 years ago

Read 2 more answers

A circular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Artyom0805 [142]

Answer:

D. 108 degrees

Step-by-step explanation:

use the formula (n-2)180/n, n being number of sides.

In this case, the number of sides is 5.

plug it into the formula and solve:

(5-2)180/5

(3)180/5

540/5

108 degrees.

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2 years ago

Read 2 more answers

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alekssr [168]

1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.

In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.

1) In this case, the volume occupied by the marble water basin ( $V$ ), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:

$V = \pi\cdot R^{2}\cdot h - \frac{2\pi}{3} \cdot r^{3}$ (1)

Where:

$R$ - Radius of the cylinder, in centimeters.
$h$ - Height of the cylinder, in centimeters.
$r$ - Radius of the cylinder, in centimeters.

If we know that $R = 30\,cm$ , $h = 45\,cm$ and $r = 25\,cm$ , then the volume of the marble is:

$V = \pi \cdot (30\,cm)^{2}\cdot (45\,cm) - \frac{2\pi}{3}\cdot (25\,cm)^{3}$

$V \approx 94509.579\,cm^{3}$

The right choice is D.

2) To determine the approximate surface area of the cake covered in red frosting ( $A_{s}$ ), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square: