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2 years ago

In the following exercises, identify whether each number is rational or irrational.

Mathematics

1 answer:

klasskru [66]2 years ago

7 0

Answer:

(a) √25 rational

(b) √30 irrational

Step-by-step explanation:

Note : only perfect squares have rational roots

25 = 5² then 25 is a perfect square

therefore √25 = 5 is a rational number

30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square

Therefore √30 is irrational.

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What are the missing angle measures in triangle ABC?

Finger [1]

we know that

In the right triangle ABC

∠ $A+$ ∠ $B=90$ ------> by complementary angles

Step $1$

Find the measure of angle B

we know that

$tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}$

in this problem

$opposite\ side\ angle\ B=7in\\ adjacent\ side\ angle\ B=5in$

$tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees$

Step $2$

Find the measure of angle A

$A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees$

therefore

the answer is the option

35.5° and 54.5°

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3 years ago

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Please help me if you can. Please also write how you got the answer thank you.

Sever21 [200]

The answer is 8shares

Step- My - Step
2,000 divided by 237.68
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3 years ago

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3X-1=4 THEN 2X= ...?

strojnjashka [21]

3x=4+13x=5x=5/32x=2* 5/32x=10/3

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3 years ago

W/2 - 6= -10 Solve for W Please and thank you because I’m stupid

Whitepunk [10]

Answer:

w=-8

Step-by-step explanation:

1. add 6 to -10 (-4)

2. multilpy by 2 (-8)

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3 years ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each point

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago