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3 years ago

Is √37 rational or irrational number

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

It would be irrational because the decimal does not terminate <span />

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Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed

sukhopar [10]

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

7 0

3 years ago

In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Kome

Shalnov [3]

Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.

Explanation:

Since we have given that

Probability of the Galaxy team wins = 22%

Probability of the Komets team wins = 47%

So, Probability of the Komets losing their race is given by

$100-47=53\%$

We need to find the probability of the Komets losing their and the Galaxy winning their game .

Let Event K : Komets losing their game

Event G : Galaxy winning their game

Since these are two independent events,

So,

$P(K\cap G)=P(K).P(G)\\\\P(K\cap G)=0.22\times 0.53\\\\P(K\cap G)=0.1166=0.12=12\%$

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.

3 0

3 years ago

Read 2 more answers

Luz tiene 240 globos blancos y 360 celestes y los usará para decorar un salón. Si los ubica en grupos de manera que cada uno ten

N76 [4]

Answer:

a) 120

b) 2 globos blancos por grupo

3 globos celestes por grupo

Step-by-step explanation:

Resolvemos usando el máximo factor común

a) ¿Cuántos grupos puede formar como máximo?

Los factores de 240 son: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Los factores de 360 son: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Entonces el máximo común denominador es 120.

b) ¿Cuántos globos de cada color tendrá cada grupo?

Para cada grupo,

Por los globos blancos

= 240/120 = 2 globos blancos por grupo

Por el celeste

= 360/120 = 3 globos celestes por grupo

5 0

3 years ago

The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The ci

Lemur [1.5K]

Answer:

$Area = 101.4 cm^2$ (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = $\frac{48}{\pi}$ = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

$Area = \frac{1}{2}ab \times Sin(C)$

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

$Area = \frac{1}{2} \times 15.3 \times 15.3 \times Sin(60)$

$Area = \frac{1 \times 15.3 \times 15.3 \times Sin(60)}{2}$

$Area = 101.4 cm^2$ (3 S.F)

3 0

3 years ago

How are unit rates, constant of proportionality, and scale factors are related.

vfiekz [6]

I found this online I hope it helps a little if not, then sorry.

6 0

3 years ago