1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.
2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.
3) Earth is 794 times larger in diameter than Halley's Comet.
Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:
1)
149.6 / 7 = X 21.37 = X
2)
1986 + 75 = 2061 2061 + 75 = 2136 2136 + 75 = 2211
3)
12700/16 = X 793.75 = XLearn more about maths in https://brainly.com/question/26088658
The relationship between Halley's comet and the earth is an illustration of proportions
The given parameters are:
Earth's distance from the sun = 149.6 million kilometersHalley's comet traveled close to 1/7 of the distance.(a) The distance
The distance which Halley's comet get to is calculated using:
[tex]d = \frac 17 \times 149.6\ million\ km[/tex]
So, we have:
[tex]d = 21.37\ million\ km[/tex]
Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.
(b) The next three years it will appear
From the complete question, the comet is visible every 74 years.
It appears in 1910.
So, the next three years are:
[tex]Year\ 1 = 1910 + 74 = 1984[/tex]
[tex]Year\ 2 = 1984 + 74 = 2058[/tex]
[tex]Year\ 3 = 2058 + 74 = 2132[/tex]
Hence, the comet will appear in 1984, 2058 and 2132.
(c) The number of times the earth is larger
The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.
So, the number of times (n) which the earth is greater than the comet is:
[tex]n = \frac{12700}{16}[/tex]
[tex]n = 794[/tex] --- approximated
Hence, the diameter of the earth is 794 times larger than Halley's Comet.
Read more about proportion at:
https://brainly.com/question/1781657
Please help because I have to submit this this week
Answer:
67
Step-by-step explanation:
its a 90 degree angle so u have to do 90-23 which equals to 67
Am I correct? Please explain!
Will mark brainliest
Answer:
nr. 1 and 3 is a Dilation 2 and 4 are not Dilations
Step-by-step explanation:
Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
Kylie and her three friends equally divided the cost to rent a movie for $4 and order sandwiches for a total of $15. They also have a coupon for $3 off the sandwiches. Evaluate to find the cost each person will pay.
Also the first person to answer gets brainlest :)
Answer:
4
Step-by-step explanation:
4+15-3=16 (the total amount plus coupon)
16/4=4 (divided by 4 to find out how much each friend pays)
Simplify the expression: 6a + 9b - c - 9a +2b + 3c
Answer:
-3a + 11b + 2c
Step-by-step explanation:
If Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip, then, at that rate, how many gallons of gas would the car use for a 560-mile trip?
Answer:
20 gallons of gas
Step-by-step explanation:
Given that :
8 gallons of gas = 224 mile trip
Miles per gallon of Mrs. Allan's car :
Number of miles / gallons of gas
224 miles / 8 gallons
= 28 miles per gallon
Gallons of gas car will use for 560 miles
Number of miles / miles per gallon
560 miles / 28 miles per gallon
= 20 gallons of gas
Marla's mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is this?
Answer:
18 L
Step-by-step explanation:
36 packs * 500 mL = 18000 mL
18000 mL / 1000 = 18 L
Can someone help me on this question?
Answer:
90°
Step-by-step explanation:
opposite angles of quadrilateral is 180 so
<d is 180-90 = 90
Mrs. Kirsch went shopping at a department store. The store is having a sale, discounting all items by 30% off the marked price. She decides to buy an item originally marked $85.95. She also had to pay 6% sales tax. What is the sales tax on the item? What is the final cost (sale price plus tax) of her purchase?
Answer:
63.76
Step-by-step explanation:
85.95-30% 60.16
60.16+6% 63.76
You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.
Answer:
The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Step-by-step explanation:
Let the angle be equal to x°. We know that
[tex](180 - x) = 3(90- x)[/tex]
Therefore, solving for x, we have
[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]
So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Please help I have tried so hard
Please help, i need it for a test, I'll give you brainliest :]
Answer:
Step-by-step explanation:
C
Solve the system of equations: {2(3x-2y)+1=7x, 12(x+y)-15=7x+12y
Step-by-step explanation:
hope this help have a great day!
Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?
Answer:
answer is 156753.03
Step-by-step explanation:
Michael is buying new tile for his bathroom. The bathroom is 6 feet wide and 7 feet long. It costs $1.75 per square foot of material for the bathroom. If Michael goes to the store with $70, will he have enough money to buy the material. Why or why not.
Answer: yes because all the math adds up to 22.75 and he has 70
Step-by-step explanation:
Which expression is equivalent to -6 - (-2)−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A -6+2−6+2minus, 6, plus, 2 (Choice B) B 2+62+62, plus, 6 (Choice C) C -6+(-2)−6+(−2)minus, 6, plus, left parenthesis, minus, 2, right parenthesis (Choice D) D -2 + 6−2+6
Answer:
(Choice A) A -6+2; minus, 6, plus, 2
Step-by-step explanation:
Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:
(Choice A) A -6+2; minus, 6, plus, 2
(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis
(Choice D) D -2 + 6
Given expression:
-6 - (-2)
Note:
- * - = +
+ * + = +
- * + = -
+ * - = -
-6 - (-2)
= -6 + 2
= -4
The correct answer is (Choice A) A -6+2; minus, 6, plus, 2
In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...
Answer:
see explanation
Step-by-step explanation:
The standard form of the equation of a circle is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
find the equation to the line below acellus y=
Answer:
y=mx+C
or
y= m(x-x1)+y1
PLEASE HELP ME I'M CLUELESS!!
Answer:
352.7 m
Step-by-step explanation:
Distance from the cliff 2000m
Angle = 10°
How tall is the cliff?
We solve the above question using the trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 2000m
θ = 10°
Hence:
tan 10 = x/2000m
Cross Multiply
x = tan 10 × 2000m
x = 352.65396142 m
Approximately = 352.7 m
The cliff is 352.7 m tall
A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?
Answer:
(A) 126400
(B) 8.57%
Step-by-step explanation:
(A) According to the scenario, calculation of the given data are as follows,
Visitors in June = 121660
Let visitors in May = X
Difference in visitors number in June = 3.75% decrease
So, we can calculate the visitors number in may by using following formula,
Number of visitors in June = X - 3.75%X
121660 = 96.25%X
X = (121660 × 100) ÷ 96.25
X = 126400
Hence, Number of visitors in may = 126400
(B). Difference in visitors in July than in May = 4.5% increase
So, Number of visitors in July = 126400 + (126400 × 4.5%)
= 126400 + 5688
= 132088
Now, we will calculate increase in percentage by using following formula,
Increase percentage = (132088 - 121660) ÷ 121660
= 10428 ÷ 121660
= 0.0857 or 8.57%
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
1: The local street cart sells bacon egg and cheese sandwiches for $2.50,
and soft drinks for $0.75. The street vendor made a total of $933 after
selling a total of 747 sandwiches and soft drinks. (5 points)
HELP QUICK
Answer:
213 sandwiches
534 soft drinks
Step-by-step explanation:
system of equations, if you want better explanation, hmu in the comments.
De las siguientes oraciones ¿Cuál es una proposición?
a)El sol es una estrella
b)El autor de "La vida es sueño"
c)¡Pon atención!
d)¿Cuándo es el examen de historia?
Answer:
c
Step-by-step explanation:
Answer:
translation: Of the following sentences, which is a proposition? a) The sun is a star b) The author of "Life is a dream" c) Pay attention! d) When is the history exam also its c i think
Step-by-step explanation:
Please help me I’ll mark brainliest:)
3.2 Simplify the following
3.2.1 -2+3(1 - 4) - 2
Answer:
[tex]-13[/tex]
Step-by-step explanation:
[tex]-2+3(1-4)-2[/tex]
Simplify:
[tex]-2+3(1-4)-2\\-13[/tex]
-13 is your final answer!
The number is prime The number is less than 19 The sum of the digits of the number is greater than 7 what's the number ?
Answer:
17
Step-by-step explanation:
I thinks 17 is less than 19 and it's a prime number and the sum of its digits is greater than 7 so the answer is 17
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answer:
.7
Step-by-step explanation:
The practice of buying and selling goods and services over the Internet is
known as which of the following?
A. E-commerce
B. Auctioning
C. l-buying
D. Retail sales
In the expression 2x + y - 4, the coefficient of y is...
Answer:
1
Step-by-step explanation:
If a term does not have a written coefficient, then the coefficient is one.
This is because 1(y) = y
Answer:
1
Step-by-step explanation:
there is an "understood" 1 as the coefficient of any blank variable
but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)
She has written 90 page essay so far she needs 150 pages. What percent of pages has she completed.
Answer:
75%
Step-by-step explanation:
i am not going to say it right but i think it is but my teacher have us doing this now