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3 years ago

PLEASE LIST EACH NUMBER AS RATIONAL OR IRRATIONAL

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

Irrational, rational, rational, irrational, irrational

VMariaS [17]3 years ago

3 0

Answer:

1. irrational

2. irrational

3. rational

4. irrational

5. irrational

Step-by-step explanation:

1. It is irrational because 22 does not have 2 numbers that when multipled equal 22

2. It is irrational because it doesn’t transfer to a whole number

3. It is rational because you can do 9 times 9 to get 81 and a negative number is still a whole number

4. Is irrational because 80 keeps repeating

5. Pie keeps going and is therefore irrational

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The probability that a student correctly answers on the first try (the event

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Check attached file for solution.

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3 years ago

Which of the following points lie in the solution set to the following system of inequalities?

Oksana_A [137]

A. NOT

(-5, 2) → x = -5, y = 2

y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE

B. YES

(5, -2) → x = 5, y = -2

y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE

y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE

C. NOT

(-5, -2) → x = -5, y = -2

y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE

D. NOT

(5, 2) → x = 5, y = 2

y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE

3 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

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3 years ago

Suzanne bought a sofa for d dollars and paid 8% sales tax, write two different expressions that represent the total number of do

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If the answer below helps you please consider making it brainliest as it helps me out.

Answer:

d + (d • 0.08)

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Let’s say that d is equal to 50.

50 + (50 • 0.08) = 54

50(1+0.08) = 54

Hope this helps!

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3 years ago

Solve for x. 3(x + 4) + 2x = 5

DIA [1.3K]

Answer:

x=-7/5

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4 years ago

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