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8_murik_8 [283]
3 years ago
9

The area covered by a topic lie plant triples every year. By what factors does the are covered by the plant increase every month

?
Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

16.67%

Step-by-step explanation:

If area triples every year :

This means that :

With an initial area of 10;

Area at the end of the year = 3 * 10 = 30

Percentage increase per year :

(30 - 10) / 10 * 100%

(20 / 10) * 100%

2 * 100%

= 200% per year

Therefore, monthly increase %

Yearly % increase ÷ number of months in a year

200% ÷ 12

= 16.666666%

= 16.67%

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A cube has a volume of greater then 125 cm to the third power. What are the possible lengths of the side of that cube?
e-lub [12.9K]
Volume=legnthn times width times height
a cubes legnth=width=height
therefor
volume=legnth^3
volume is greather than 125
125<legnth^3
cube root both sides
5<legnth
th elegnth is anything greather than 5
an example of some numbers are
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3 years ago
A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft.
Mamont248 [21]
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3 years ago
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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

6 0
3 years ago
Find the variable h+ 1/2 = 3 1/4
Elena L [17]

Answer:

h=2 3/4

Step-by-step explanation:

2 3/4+1/2=

you can convert 1/2 into 2/4 so they have like denominators

2 3/4+2/4= 2 5/4 which is also equal to 3 1/4

7 0
3 years ago
Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9
Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be 10^n, where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}

which is irreducible.

6 0
3 years ago
Read 2 more answers
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