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3 years ago

Calculate exactly how many miles not light year is the star Sirius is from the sun

Mathematics

1 answer:

algol133 years ago

8 0

Answer:

5.06208e+13 Hope it helps :)

Step-by-step explanation:

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Nimfa-mama [501]

Let's call our number x.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

5 0

3 years ago

Read 2 more answers

A town has a population of 50,000. it’s rate increase is 8% every 6 months. find the population after 4 years

Ainat [17]

82,000 bc 8% of 50,000 is 4000 and 4000 times 8 is 32,000 + 50000

6 0

2 years ago

A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the

sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100 ........A

Again

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600 .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴ b = $\dfrac{600}{10}$

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0

3 years ago

For what value of x is line m parallel to line n? Enter your answer in the box. x = ?

Zielflug [23.3K]

Answer-

The value of x is 10

Solution-

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

As m and n are parallel line, so

$\Rightarrow 8x+50=130$

$\Rightarrow 8x=130-50$

$\Rightarrow 8x=80$

$\Rightarrow x=10$

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1

Semenov [28]

ANSWER

$- \cos^{2} x$

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

$(x + 1)(x - 1) = {x}^{2} - 1$

This implies that,

$( \sin \: x + 1)( \sin \: x - 1) = \sin^{2} x - 1$

We can factor -1 on the right hand side to get,

$( \sin \: x + 1)( \sin \: x - 1) = - (1 - \sin^{2} x )$

Note that from the Pythagorean Identity

$1 - \sin^{2} x = \cos^{2} x$

We apply this identity to obtain:

$( \sin \: x + 1)( \sin \: x - 1) = - \cos^{2} x$

The correct choice is B

4 0

3 years ago