Is 0.02 irrational or rational

Answers

Answer 1

Answer:

0.02 is a rational number because it can be expressed as a definite fraction

What are rational numbers?

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

For example, all definite decimals are rational mubers e.g 0.5, 0.05. 1.25 e.t.c

Similarly, we can say that 0.02 is a rational number because 0.02 can be put in a definite fraction

0.02 = 2/100

= 1/50

Therefore 0.02 is a rational number.

learn more about rational number from

brainly.com/question/19079438

#SPJ3

Answer 2

Answer:

Step-by-step explanation:

0.02 is rational as it can be expressed as a finite decimal.

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LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time: 100 + 38x = C

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answers

Answer:

Number line with closed circle on 1 and 8, shading in between.

Step-by-step explanation:

This is the question you are referring to.

as 100+38x=C is our equation to determine the number of months, with $404 as a Maximum amount for her to spend, we know the beginners fee is 100 and every month(Including the first) is 38 dollars. we can understand that in 8 months, she will reach exactly 404 dollars spent on her membership.

well 404 dollars subtract 100 for member ship and have 304 then divide 304 divided by 38 and you get 8 months plug it in and bam 8 is c which makes sesne when checking your answer

Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin

Answers

Answer:

$\cos(63^\circ)$ is the same as $\sin(27^\circ)$ by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

sin (90° – x) = cos x
cos (90° – x) = sin x

This means that $\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454$ .

When you graph an inequality, you used a closed dot when you use which
symbols?

Answers

You should only use a closed dot for the symbols ≤ and ≥.

When you should use a closed dot?

There are two types of dots used when graphing inequalities, closed and open.

We use closed dots when the value where the dot is, is a solution.
We use open dots when the velue where the dot is, is not a solution.

So, for exampe in:

x > 3.

We would put an open dot at 3, because the value x = 3 is not a solution, but all the values at the right of the 3 are solutions.

In the other hand, for:

x ≥ 3

Now 3 is in fact a solution, so here we should use a closed dot.

Then, answering the question.

"When you graph an inequality, you used a closed dot when you use which symbols?"

The ≤ and ≥ symbols.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

You use a closed dot with the greater than or less than with the line under the symbol or the greater than or equal to or the less than or equal to symbols. The line indicates a closed dot.

40 = 90^2/16 sinx cosx find x

Answers

Answer:

x = 4.545

Step-by-step explanation:

Given the expression

$40=(90^2)/(16) sinxcosx\n\nCross\ multiplying;\n\n16*40 = 90^2 sinxcosx\n\n640 = 90^2 sinxcosx\n\n(640)/(8100) = sinxcosx\n from\ trig\ identity, sin2x = 2sinxcosx\nsinxcosx = sin2x/2\n$

$Hence, \ (640)/(8100) = (sin2x)/(2) \n\n(2*640)/(8100) = sin2x\n \n(1280)/(8100)=sin2x\n \n0.158 = sin2x\n\n2x = sin^(-1) 0.158\n\n2x = 9.09\nx = 9.09/2\nx =4.545$

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three fourths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

Answers

Answer: The dimensions of brand name will be

16 inches by 32 inches.

Step-by-step explanation:

Since we have given that

Dimensions of generic version is given by

$12\text{ inches }* 24\text{ inches }$

Since we have also given that

$Generic=(3)/(4)* \text{brand }$

So, we first use the 12 inches

$12=(3)/(4)* \text{ brand}\n\n12* (4)/(3)=brand\n\n16\text{ inches}=brand$

Similarly,

if we now use the dimension 24 inches

$24=(3)/(4)* \text{ brand}\n\n24* (4)/(3)=brand\n\n32\text{ inches}=brand$

so, the dimensions of brand name will be

16 inches by 32 inches.

12*4/3 = 16
24*4/3= 32

A bicycle tyre has a diameter of 14 cm. John decides to cut the tube to see how long the rubber is.a. What is John trying to find? _____________________________________________
b. Calculate the circumference of the tyre.
c. If John should place the tyre on the ground and fill the space inside with paint, how much space would be occupied by the paint?