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3 years ago

Is 3.1141141114 rational or irrational?

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

Stops or repeats, the number is rational. does not stop and does not repeat, the number is irrational.

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The perimeter of a rectangular pool is 314 m.

ycow [4]

Answer:

The length is 91 meters

Step-by-step explanation:

The perimeter formula is 2W · 2L = 314

We know the width is 66 m, so we can then say:

132 · 2L = 314

-132 -132

2L = 182

L = 91

Hope this helped!

7 0

3 years ago

A square pyramid has a height of 6 units and a volume of 70 units3. if a square prism has the same base area and volume as the s

goldfiish [28.3K]

The height of the square pyramid exists 2 units.

<h3>How to estimate the area of the base of the square pyramid?</h3>

Volume of the square pyramid

$$V = \frac{1}{3}BH$

where B exists in the area of the base H lives at the height of the pyramid

we have H = 6 $$$unit^3$

V = 70 $$$unit^3$

substitute in the formula and solve for B, we get

$$70 = \frac{1}{3}B(6)$

B = $$\frac{70}{2}$

= 35 $$$unit^3$

To estimate the height of the square prism

Volume of the square prism = Bh

Where B exists the area of the base

h exists the height of the prism

we have B = 35 and V = 70

substitute in the formula and solve for h

70 = (35)h

h = 2 units.

To learn more about square pyramid refer to:

brainly.com/question/16024003

#SPJ4

6 0

2 years ago

Read 2 more answers

Perpendicular to the line y =6 - 3x; passes through (-3, -1)

madam [21]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

Perpendicular lines

Perpendicular lines have slopes whose product is -1. In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.

Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).

Finding our perpendicular line

Work on slope first

To find the slope of the original line, rewrite the original line in slope-intercept form: $y=mx+b$

$y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6$

In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.

Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.

Writing what we do know about the new perpendicular line, we have $y=\frac{1}{3}x+b$

Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is. To find out the "b", substitute the known quantities, and solve:

$-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b$