Answer:4124966.126
Step-by-step explanation:
Distance between star from the sun is d = 4124966.128 AU
What is Trigonometry?
Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.
The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.
As per the given data:
distance from Earth to the Sun (P) = 1 AU
θ = 0.00001389 degrees
From tanθ:
tanθ = P/B
{P = perpendicular and B = base}
From the diagram:
tanθ = 1/d
tan(0.00001389) = 1/d
d = 1/tan(0.00001389)
d = 4124966.128 AU
The separation between the sun and the star is d = 4124966.128 AU.
To learn more on, Trigonometry:
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0.2 as hundredths in fraction form
Answer:
20/100
Step-by-step explanation:
0.2 = 2/10 = 20/100
Write the equation for a line that is parallel to the line y=-1/3x -4 and passes through the point (3, -1)
Answer:
y = -1/3x
Step-by-step explanation:
Since the line has to be parallel, that means it will have the same slope. So, we use the given point and slop to solve for the new y= mx + b using the equation y - y = m( x - x)
m= -1/3 x = 3 y = -1
y + 1 = -1/3(x - 3)
y + 1 = -1/3x + 1
y = -1/3x
start time:11:33
End time:?
Elapsed time:4 hrs 55 mins
Answer:
4:28
Step-by-step explanation:
11:33+ 4hrs and 55 min
12:28+4hrs
4:28
Jake has 4 hours before bedtime. He must spend 1 1/2 hours doing homework. The rest of the time will be spent doing puzzles. It takes Jake 3/4 hour to
complete each puzzle. Write an equation that models the number of puzzles (p) that Jake can complete before bedtime.
Answer:
3 1/2 = 1/2*p-2
Explanation: p is number of puzzles
Answer:
He completes 3 1/3 puzzles
Step-by-step explanation:
1 hour 30 mins+ 45 minutes+45 minutes+45 minutes+15 minutes = 4hrs
2 numbers that equal 17 and 5
Answer:
3 +2 = 5 and 12 + 5 = 17
Step-by-step explanation:
i hope this helps im not sure if its frght or if it helps sorry if its wrong.
2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible
Answer:
479,001,600 different designs are possible
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
In this question:
12 elements. So
[tex]A_{12} = 12! = 479001600[/tex]
479,001,600 different designs are possible
Which amount is greater, 5 feet or 2 yards?
Answer:
2 yards is greater then 5 feet
Step-by-step explanation:
A yard is 3 feet, 3+3=6 I hope this helps!
5% of 1000 I can’t figure it out
Answer:
50
Step-by-step explanation:
.05 x 1000=50
Please help It’s EASY MATH
For his long distance phone service, Carlos pays an $8 monthly fee plus 6 cents per minute. Last month, Carlos's long distance bill was $12.08. For how many minutes was Carlos billed?
Answer:
68 minutes
Step-by-step explanation:
12.08=0.06x+8
4.08=0.06x
68=x
Find the values of x and y.
Answer:
x = 67
y = 169
Step-by-step explanation:
We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.
Solve for x:
x-1 = 66
x = 67
Now solve for y:
(67-1) + 52 + (y-7) = 180
y = 169
Here are some fractions.
10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3
a) Which fraction?
b) Work out 1/8 + 3/4
Give your answer in its simplest form.
Answer:
10/16 is not equivalent to ⅔.
⅛+¾=⅞
Step-by-step explanation:
To simplify to simplest form find the GCF for both and divide on each side.
[tex] \frac{10}{15} = \frac{2}{3} [/tex]
the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.
[tex] \frac{4}{6} = \frac{2}{3} [/tex]
When you divide the numerator and denominator by 2 (GCF) it would be ⅔.
[tex] \frac{12}{18} = \frac{2}{3} [/tex]
when you divide both the numerator and denominator by 6 (GCF) you get ⅔.
[tex] \frac{10}{16} = \frac{5}{8} [/tex]
when you divide the numerator and denominator by 2 (gcf) you get ⅝.
therefore, 10/16 is not equivalent.
[tex] \frac{1}{8} + \frac{3}{4} = [/tex]
Find the LCM
Least Common Multiple is 16.
8: 8, 16
4: 4, 8, 12, 16
[tex] \frac{2}{16} + \frac{12}{16} [/tex]
for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16
[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]
you can simplify by dividinv both sides by 2 to get 7/8.
hey i need help pls be honest. WILL GIVE BRAINLIEST!!!!!!!!
1). Solve for n n - 72 = 83 *
Helpppppppppp
Answer:
N=155 I am pretty sure thats the answer
What is The least common denominator of 11/12, 7/9, and 2/3
Answer:
261?
Step-by-step explanation:
LCD = 261
Equivalent Fractions with the LCD
11/29 = 99/261
7/9 = 203/261
2/3 = 174/261
I need help with this can someone help
My work:
3x4=12
12+12=24
6-4=2
2+2+2=6
24÷6=4
Your answer:
4
Hope this helps!
-Alex
Answer:
18.
Step-by-step explanation:
3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.
explain how to solve the equation 7s=28
I owe $8500 on my credit card. The card has a promotional interest rate of 0% for 24 months. To repay the debt, I'm going to pay a fixed amount toward the balance every month. After 12 months, my remaining debt will be $6460. Which of the following equations correctly relates the remaining debt (D) to the number of months (t) I've been making payments? (Select all that apply.)
Question 4 options:
D=6460+170t
D=170t−6460
170t+D=8500
D=−170t+8500
D+6460=8500t
Answer:
170t+D=8500
D=170t−6460
Step-by-step explanation:
Mathematical models are used to explain real life situations.
We can see from the question that the total debt is $8500 while there is interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.
Now, the equations that correctly model the situation are;
170t+D=8500D=170t−6460Learn more about mathematical models:https://brainly.com/question/731147
Find the slope-intercept form of the equation of the line which contains the points (-2, 5) and (3, 20).
Answer:
y = 3x - 11
Step-by-step explanation:
First, use the y2-y1/x2-x1 format to find the slope: 20 - 5/3 - (-2)(Note: change 3 - (-2) to 3 + 2 to make it easier for you)
Simplify 15/5.Your slope would be 3/1 or 3.
Now use the slope-intercept format: y = mx + b(Use either the first point or second point, I chose the first)
5 = 3(-2) + b
Multiply 3 and -2, which is -6.Subtract 5 from -6: -6 - 5 = -11Your y-intercept is -11.
Hope this helped!
The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25 for each ride ticket. For what number of ride tickets will the cost be more at The Aquarium?
Answer:
B
Step-by-step explanation:
Because 16 + 2.50 is less than 25 + 0.25x
what is an equivalent expression to 2x+10x
Answer:
=12x
Step-by-step explanation:
I NEED HELP!! (100 POINTS)
Kian wants to solve the equation 2x = -2x + 4. How could he use graphs to solve this equation?
Drag statements into order to complete an explanation.
Answer:
x = 1Step-by-step explanation:
Given equation
2^x = -2x + 4
To solve graphically, following steps required
1. Graph the function
y = 2^x2. Graph the function
y = -2x + 43. Identify any intersection of the lines
4. Take the x-coordinates of the intersection points and record as solution
See attached, the answer and the solution of the given equation
The solution is
x = 1Answer:
Graph the curve that models 2^x.
Graph the line that models -2x+4.
Identify all points of intersection of the two graphs.
Solutions to the equation are the x-coordinates of points of intersection.
Angle x measures 42•. Find measure of angle y.
Answer:
C
Step-by-step explanation:
Chase's car used 4 gallons of gas to drive 86miles. How many miles did chase drive using 2 gallons? And how many gallons did chase use driving 215miles?
Answer:
43 mi & i think its 107.5 gal
Step-by-step explanation:
4 gal= 86 mi
4/2=2 86/2=43
2 gal= 43 mi
to get the 107 i just divided 215 by 2
THIS ONE IS EASY I WILL MAKE BRAINLIEST
Answer:
OF
Step-by-step explanation:
the shapes are the same, but bigger so you literally just find the same line from shape 1 to shape 2, but bigger
Answer:
the correct side is OP
Step-by-step explanation:
George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?
(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m
PLEASE ASAP!
Answer:
Take 148÷37. Which equals 4. The answer is C.
10) La diferencia entre 17 y 1.234 es :
Answer:
15.766
Step-by-step explanation:
17 menos 1.234 es 15
Use the simple interest formula to find the interest earned for $347 at 9.63% for 5 years
Answer:
$167.08
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.63%/100 = 0.0963 per year,
then, solving our equation
I = 347 × 0.0963 × 5 = 167.0805
I = $ 167.08
The simple interest accumulated
on a principal of $ 347.00
at a rate of 9.63% per year
for 5 years is $ 167.08.
using integer to describe the situation 12 protons and an atom blank 18 electrons around an atom blank
HELP! What's the area of this kite?
Answer:
12
Step-by-step explanation:
8 x 3ft = 24
4 x 3 = 12
24 + 12 = 36ft
so its B my g
Answer:
C.36ft2
Step-by-step explanation:
3+3=6
6x8=48
48/2=24
6x4=24
24/2=12
12+24=
36ft2