A shooting star forms a right triangle with the Earth and the Sun, as shown below:

A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star. (10 points)

NO LINKS OR ABSURD ANSWERS

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

Answer:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]3x + 4y = 1[/tex]

Rearrange the given equation into slope-intercept form (this will help us determine m)

Subtract 3x from both sides to isolate 4y

[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]

Divide both sides by 4 to isolate y

[tex]y= -\frac{3}{4} x+\frac{1}{4}[/tex]

Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{3}{4}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{3}{4}x+b[/tex]

Plug in the given point (10,-12) and solve for b

[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]

Add [tex]\frac{15}{2}[/tex] to both sides to isolate b

[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]

Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:

[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]

I hope this helps!

Answer:

$119.25

Step-by-step explanation:

13 × 4.50 = 58.5

9 × 6.75 = 60,75

58.5 + 60.75 = 119.35

Answer:

$119.25

Step-by-step explanation:

you have to multiply 4.50 x 13 than you multiply 6.75 x 9, which is 60.75 and 58.50. next you add 60.75 and 58.50 and get your answer of $119.25.

Answer:

Step-by-step explanation:

The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:

[tex]2x(x^2-100)[/tex]

BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to

(x - 10)(x + 10). So the complete factorization is

2x(x - 10)(x + 10)

a) 8.68 x 10^25

b) 1.439 x 10^12

Answer:

(8.6810±0.0013)×10^26 kg

1.439 time 10^12

Step-by-step explanation:

standard for is the whole numer with thousandth's place times 10^n or the number of zeroes

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

Answer:

I think it would be 42. If its wrong I'm sorry

Answer:

132m

Step-by-step explanation:

Height of tower B = Height of tower A + difference in height between tower B and A

The difference in height can be determined using tan

tan 23 = opposite / adjacent

tan 23 = opposite / 151

0.4245 x 151 = opposite

opposite = 64m

Height of tower B =  64m + 68m = 132m

Answer:

Step 1 Multiply both sides of the equation by Five-halves

Step-by-step explanation:

First mistake:

Step 1 Multiply both sides of the equation by Five-halves

Correct First step:

Should have subtracted 4p from both sides

Answer:

In step 1, he did not multiply 4p by Five-halves when multiplying both sides by Five-halves.

Step-by-step explanation:

Just got it right on edge!! Hope this helps, have a great day!

Answer:

from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30

14/30

7/15

7/15 as a percent is 46.6667%

Answer:

3.444444444444444

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

fits the requirements

Answer:

E Ticket sales are not affected by the number of cloudy days per month.

Step-by-step explanation:

From the scatter plot Given, using visual observation, we can infer that the relationship between theme park ticket sales and the number of cloudy sales is randomly scattered with no defined linear pattern. That is, the plot does not ascertain of the number of ticket sales increases with increasing number of cloudy days, or vice versa. Hence, the relationship will best the described as concluding that ticket sales are not affected by the number of cloudy days per month.

Step-by-step explanation:

Distance= ✓(-2-0)²+(8+1)²

=✓(4+81)

=✓85

Answer:

Step-by-step explanation:

Tangents from the point outside the circle are equal

NL = JL  

NM + ML =JK + KL

2x - 7 + 9 = 8 + 10  

     2x + 2 = 18      {Subtract 2 from both sides}

           2x = 18 - 2

          2x  = 16   {Divide both sides by 2}

             x = 16/2

x = 8

MN = 2*8 - 7 = 16 - 7 = 9

MN = 9

Answer:

The answer is B

Step-by-step explanation:

the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer

Answer:

if H(x) is x²

Step-by-step explanation:

[tex]3x + 2 + 2x - 1 + {x}^{2} = \\ 3x + 2x = 5x \\ {x}^{2} + 5x - 1[/tex]

im not sure exactly hehe

Answer:

A

Step-by-step explanation:

i think

The function that represent the growth rate of the population where y represents the population and x represents the numbers of weeks since Sabrina began her research is [tex]y=3.8^{x}[/tex] (for ant colony) [tex]y=3.8x[/tex] (for bee hive growth)

"A  function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

"Research is creative and systematic work undertaken to increase the stock of knowledge."

"The growth rate of change of population size, for a given country, territory, or geographic area, during a specified period."

As we know that we have to check the growth of the population. According to the given data, the rate of growth for ant colony is [tex]y=3.8^{x}[/tex] and also the growth rate of bee hive is [tex]y=3.8x[/tex]

Hence, the growth rate of ant colony is [tex]y=3.8^{x}[/tex] and the growth rate of bee hive is [tex]y=3.8x[/tex]

To know more about growth rate of population here

https://brainly.com/question/15133607

#SPJ2

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

Answer: 124

Step-by-step explanation:

As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.

We know this product is equal to 11.

Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be [tex]$n=p^{10}$[/tex], where p is a prime number.

We take a cube of the prime factorization of n to give us a prime factorization for [tex]n^3[/tex]

[tex]$$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$[/tex]

We see that [tex]n^{3}\text{ has }$30+1=31$[/tex] positive divisors.

Now, [tex]8n^3=2^3\times p^{30}[/tex]

Totald divisiors = [tex](3+1)(30+1)=4\times31=124[/tex]

Hence, the number of positive divisors of [tex]8n^3=124[/tex]

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

Answer:

x is greater than -3 and it is also less than or equal to 2

-3 < x  ≤ 2

Step-by-step explanation:

The first time she finished in 12 minutes.

The second time she finished in 12/2=6 minutes

The third time she finished in 12/3=4 minutes