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Kitty [74]
4 years ago
8

Let a be an irrational number. Is 1/a rational or irrational

Mathematics
2 answers:
S_A_V [24]4 years ago
8 0

An irrational number multiplied, divided, added, or subtracted with a rational number, (or the other way around) is always irrational.

Since a is irrational, 1/a is 1/ a rational number, which will be irrational.

Marianna [84]4 years ago
7 0

<u>1 is a rational number</u> because 1 can go into 1 when dividing. <u>Irrational numbers are mostly decimals. </u>

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Class A has 9 pupils and class B has 24 pupils.
hodyreva [135]

Answer:

mean ≈ 25.45

Step-by-step explanation:

mean is calculated as

mean = \frac{sum}{count}

We require the sum for both classes

class A

mean = \frac{sum}{9} = 40 ( multiply both sides by 9 )

sum = 9 × 40 = 360

class B

mean = \frac{sum}{24} = 20 ( multiply both sides by 24

sum = 24 × 20 = 480

Total sum for both classes = 360 + 480 = 840 , then mean for both classes is

mean = \frac{840}{33} ≈ 25.45 ( to 2 dec. places )

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Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.
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Given: ΔABC; a= 10; b = 13, and ∠C = 70°. Find the length of side c to the nearest whole number
Alexxandr [17]

Answer:

c=13\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=10\ units\\b=13\ units\\C=70\°

substitute

c^2=10^2+13^2-2(10)(13)cos(70\°)

c^2=180.07

c=13\ units

6 0
3 years ago
WILL MARK YOU BRAINLIEST!!!!!!
My name is Ann [436]

Answer:

y = 88

Step-by-step explanation:

Don't worry about the other stuff, just worry about what's in the triangle that has Y.

53°, 39°, and y°

the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.

180 - (53 + 39) = y

180 - 92 = y

88 = y

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3 years ago
Hi. I need help with these questions.<br> See image for question.<br> Answer 16 and 17
Irina-Kira [14]

Step-by-step explanation:

16.................................................

<h3>Given</h3>
  • Equation ax² + bx + c = 0
  • One of the roots is twice the other
<h3>To find</h3>
  • Show that 2b² = 9ac
<h3>Solution</h3>

Let the roots be p and q

<u>The sum and product of the roots:</u>

  • p + q = -b/a
  • pq = c/a

<u>The sum of the roots, considering p = 2q,</u>

  • p + q = 2q + q = 3q

And

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<u>The product of the roots, considering p = 2q:</u>

  • pq = 2q(q) = 2q²

And

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<u>Substitute q with -b/(3a)</u>

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  • 2b² = 9a²(c/a)
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=================================================

17. .................................................

<h3>Given</h3>

Quadratic equation

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<h3>To find</h3>
  • Show that b² = 4ac
<h3>Solution</h3>

<u>Equal roots means the discriminant is zero:</u>

  • D = √b² - 4ac
  • √b² - 4ac = 0
  • b² - 4ac = 0
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3 0
3 years ago
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