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:

72

Step-by-step explanation:

67+5= 72

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Answer:

it should be 41 ml I think.

Answer:

4

Hope that this helps!

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

Answer:

Question 1: d. (3, 7)

Question 2: b. (5, 1)

Question 3: b. (6, –4)

Step-by-step explanation:

Question 1:

Solve this system of equations using any method.

4x – y = 5

3x + y = 16

Add the equations.

7x = 21

x = 3

4(3) - y = 5

-y = -7

y = 7

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6

d – e = 4

Add the equations.

2d = 10

d = 5

5 + e = 6

e = 1

b. (5, 1)

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12

y = x – 10

4x + 3y = 12

-x + y = -10

Multiply the second equation by 4 and add to the first equation.

          4x + 3y = 12

(+)      -4x + 4y = -40

----------------------------

                  7y = -28

y = -4

-4 = x - 10

x = 6

b. (6, –4)

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

The volume of a figure is the total space enclosed within the figure.

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

Learn more about the Volume of a figure at

https://brainly.com/question/1972490

#SPJ2

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved

Answer:

10.35miles/hour

Step-by-step explanation:

(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35

(Application of division)

Answer:

10.35 mph

Step-by-step explanation:

(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

Answer:

12 additional sticks of butter

Step-by-step explanation:

First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.

y = [tex]\frac{x}{2}[/tex] will be the equation.

Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.

Plug in 24 as x into the equation, and solve for y:

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{24}{2}[/tex]

y = 12

So, she will need 12 additional sticks of butter

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

--------------------------------

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

---------------------------

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

Answer:

yes the triangle are similar

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

Answer:

The answer is 47

Step-by-step explanation:

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

Answer:

350

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Firstly, what we have to do is to multiply g(x) by h(x)

We have this as;

2x(x^2 + 4)

We then proceed to substitute the value of x with -2 as follows

2(-2)(-2^2 + 4)

= -4(8) = -32