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2 years ago

Set A= 1, 3, 4, 5, 9, 10, 11 Set B= 2, 4, 6, 7, 11, 12 What is the union of sets A and B?

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

6 0

Answer:

1 ,2,3,4,5,6,7,9,10,11,12 is the union

spin [16.1K]2 years ago

3 0

Answer:

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Step-by-step explanation:

Union of sets is a set containing all elements that are in A or B.

A = {1,3,4,5,9,10,11}

B= {2,4,6,7,11,12}

A U B = {1,2,3,4,5,6,7,9,10,11,12}

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A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

So that;

$7^{2}$ = $6^{2}$ + $(6.5)^{2}$ - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

= 29.25

Cos C = $\frac{29.25}{78}$

= 0.375

C = $Cos^{-1}$ 0.375

= 67.9757

C = $68^{o}$

Apply the Sine rule to determine the value of B,

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{6.5}{Sin B}$ = $\frac{7}{Sin 68}$

SIn B = $\frac{6.5 *Sin 68}{7}$

= 0.861

B = $Sin^{-1}$ 0.861

= 59.43

B = $59.4^{o}$

Thus to determine the value of A, we have;

A + B + C = $180^{o}$

A + $59.4^{o}$ + $68^{o}$ = $180^{o}$

A = $180^{o}$ - 127.4

= 52.6

A = $52.6^{o}$

Therefore the sizes of the internal angles of the triangle are: A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

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2 years ago

Express the ratio in lowest form: 1.5 kg: 350 g

irakobra [83]

Given:

The ratio is:

1.5 kg : 350 g

To find:

The lowest or simplest form of the given ratio.

Solution:

We know that,

1 kg = 1000 g

We have,

1.5 kg : 350 g

It can be written as

$1.5\ kg : 350\ g=\dfrac{1.5\ kg}{350\ g}$

$1.5\ kg : 350\ g=\dfrac{1.5\times 1000\ g}{350\ g}$

$1.5\ kg : 350\ g=\dfrac{1500\ g}{350\ g}$

$1.5\ kg : 350\ g=\dfrac{150}{35}$

$1.5\ kg : 350\ g=\dfrac{30}{7}$

Therefore, the lowest form of the given ratio is 30:7.

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3 years ago

Need an answer, please need an answer, please

dusya [7]

Answer:

Step-by-step explanation:

1) 6 and -5

x₁ + x₂ = 6 +(-5) = 1

x₁* x₂ = 6*(-5) = -30

x² -(x₁ + x₂)x + (x₁* x₂)=0

x² - x - 30 = 0

2) 4 and 7

x₁ + x₂ =4 + 7 = 11

x₁* x₂ = 4*7 = 28

x² - 11x + 28 = 0

3) 1 and -10

x₁ + x₂ = 1 +(-10) = -9

x₁* x₂ = 1*(-10) = -10

x² - 9x - 10 = 0

4) -9 and 0

x₁ + x₂ = -9 + 0 = -9

x₁* x₂ = 0

x² - (-9)x = 0

x² + 9x = 0

5)2 and 6

x₁ + x₂ = 2 + 6 = 8

x₁* x₂ = 2*6 = 12

x² -8x + 12 = 0

8) 2 +√3 and 2 - √3

x₁ + x₂ = 2+ √3 + 2 - √3 = 4

x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1

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3 years ago

How to factor 15m^2-12m^3

tester [92]

Step 1. Find the Greatest Common Factor (GCF)
GCF = 3m^2
Step 2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
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4 years ago

Read 2 more answers

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sashaice [31]

do you mean the equivalent fractions?

If so,The equivalent fractions of 4/5 are 8/10, 12/15, 16/20

I hope this is what you mean.

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3 years ago