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
Answers
The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
How to calculate the distance?Fist of all, we would assign variables to the distance between these astronomical objects as follows:
Let EM be the distance between the Shooting Star and planet Earth.Let y be the distance between the Sun and the Shooting Star.Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:
Sinθ = Opp/Hyp
Sinθ = EM/y
EM = y × Sinθ
Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.
Read more on right triangle here: https://brainly.com/question/12955901
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Related Questions
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answers
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
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
a. (3, 5)
b. (4, 11)
c. (4, 4)
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
a. no solution
b. (5, 1)
c. (3, –1)
d. infinite number of solutions
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
a. (3, –7)
b. (6, –4)
c. (–7, 3)
d. (–4, 6)
Answers
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)
What is the area of this triangle ?
Answers
Explanation: First find the area of the section of the triangle with the right angle : (8 x 10)/2 = 40 units squared. Then the other section of the triangle: (7 x 10)/2 = 35 units squared. Add those two products together to get 75 units squared.
It’s been a while since I’ve done geometry so I’m not sure if I’m right, but you could give this answer a try :)
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.
Answers
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
State if the two triangles are congruent.
Answers
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
how many miles from the runaway airplane at the start of this approach.
Answers
Answer:
it should be 41 ml I think.
[tex]50.705 \div 2.646[/tex]
Answers
Answer:
19.1628873772
Step-by-step explanation:
50.70500 ÷ 2.64600 = 19.1628873772
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answers
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:
If the volume of the cylinder is approximately 1,357 in3, what is the radius?
Answers
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.
What is the volume of a figure?The volume of a figure is the total space enclosed within the figure.
How do we determine the volume of a cylinder?The volume of a cylinder of radius r units, and height h units is determined using the formula,
The volume of the cylinder = πr²h.
How do we solve the given question?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
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Https://imgur.com/a/n3PRcMY
Answers
20 = 2x.
That means x = 10
2. Easy now that u have x. Angle 1 is 3x + 10, which means its 3(10) + 10 which is 40
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answers
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
Step 4: Calculate the result:
63,756 60
miles / hour
70.5,280
Answers
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
what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answers
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answers
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.
are the triangle similar
1-yes
2-no
Answers
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN
Answer:
yes the triangle are similar
theres $10.30 and the discount is 25% how much will he save
Answers
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
Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?
Answers
Answer:
18 T-shirts
Step-by-step explanation:
$4×18= $72 $72+$34=$106
106 - 34 = 72
72 / 4 = 18
. The time of a clock as seen in a mirror is 3:15. The correct time is
Answers
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:
Can someone please help ?!thank you !
Answers
Answer:
72
Step-by-step explanation:
67+5= 72
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answers
Answer:
The answer is 47
Step-by-step explanation:
Pls I need help with this
Answers
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
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answers
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
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answers
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]
Hope it is helpful...Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answers
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:
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Answers
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
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
Answers
Will mark brainliest
Answers
Answer:
350
Step-by-step explanation:
What is 3.99408317124 rounded to the nearest tenth
Answers
Answer:
4
Hope that this helps!
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answers
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
Let g(x) = 2x and h(x) = x^2 +4 evaluate (h*g)(-2)
Answers
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
