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
A scale drawing of a dance floor is shown. What is the area of the actual dance floor? 22 cmon the top and bottom and 14 cm on the sides 5 cm equals 8 feet
Answer:
The area of the dance floor will be 788.48ft²
Step-by-step explanation:
Since 5cm represents 8ft, it means
1cm represents 8/5ft.
The scale length is 22cm, therefore the actual length would be
22 x 8/5ft = 35.2ft
The scale breadth is 14cm, therefore the actual breadth would be
14 x 8/5ft = 22.4ft
The area of the dance floor will be
(35.2ft)(22.4ft) = 788.48ft²
Find the measure of the sixth interior angle of a hexagon if the measure
of the other five interior angles are 80°, 90°, 130°, 130°, and 150°. (Show
all work)
Answer:
140°
Step-by-step explanation:
The sum of interior angles of a n-agon is (n - 2) * 180°
a hexagon should have the sum of angles equal to
4 * 180° = 720°
Now we know that the other five angles have total measure
80° + 90° + 130° + 130° + 150° = 580°
So the sixth one has to be:
720° - 580° = 140°
Answer:140°
Step-by-step explanation: required equation : 180*(n-2)
since it is a hexagon, the sum of all interior angles=180*(6-2)
=180*4 =720°
now the measure of 6th angle=720 -(80+90+130+130+150)
= 720 -580
= 140
What fraction describes the probability for two coins being tossed at the same time to both land on heads?
3/4
1/4
1/2
Answer: 1/4
Step-by-step explanation:
A coin has two outcomes which are either the head or the tail. When a coin is tossed, the probability of getting a head is 1/2 and likewise for a tail.
Therefore, the probability for two coins being tossed at the same time to both land on heads will be:
= 1/2 × 1/2
= 1/4
Answer:
1/4
Step-by-step explanation:
Help me solve this pls!!
5+ 8 x-3=
i need help with this
Answer:
<FNM = 73
Step-by-step explanation:
we are given
GNF = 60
MNL = 47
60+47=107
107-180=73
describe the correlation in the scatterplot below
The first bubble options are positive linear, positive linear with one outlier, negative linear, negative linear with one outlier, nonlinear ,and no.
the second bubble options are decrease , increase, show no pattern and follow a linear pattern
Answer:
'no' and 'show no pattern'
Step-by-step explanation:
with scatter plots like these, there is no exact information at all, what so ever
Answer:
linear positive/ follow a linear pattern
Step-by-step explanation:
You buy a used car for $12,000. The value of y of the car decreases by 15% each year. Find the value of the car in: a. 1 Year
Step-by-step explanation:
12 000 × 15/100
= $1 800
value of the car = 12 000 - 1 800
= $ 10 200
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
What's the common difference of the sequence -5, -2, 1, 4, 7, ...?
A) d= -5
B) d= 2
C) d=-3
D) d= 3
Answer:
The answer is D) d=3!!!!!
Can someone help me with this one too please
Answer:
1) f - 2
2) 45 + b
3) s - 82
4) 52c
5) t/5
Answer:
1) f-2
2) 45+b
3) s-82
4)52c
5)t/5
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1067.22
Step-by-step explanation:
A = P(1 + rt)
A = £990(1 + 0.026*3)
A = £1067.22
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Mark brainliest if this helped!
Find the perimeter of a room with a length of 28 ft. and a width of 19 ft.
Answer:
98 ft
Step-by-step explanation:
28x2 + 19x2
=98
Answer:
Is the room a rectangle size? If so:
28 + 28 = 56
19 + 19 = 38
56 + 38 = 94 ft.
Opposite sides are parallel and equal:
therefore whenever there is two given lengths make sure to multiply them two times then add them together if only its a rectangle.
if its a square make sure to multiply the given length 4 times.
Given: BD bisects AE, A = E
Prove: ABC EDC
(No links)
Answer:
All sides are equal better explenation bellow
Step-by-step explanation:
It's a mirror flip of a ABC triangle
Yet you can say AB Is = to DE
And since most likely it's a 60° triangle all the angles are 60°
All triangles have 180°
Which means AB =BC
BC= AC
BC =CD
DE= CD
CE=DE
Which means all the sides are equal
Calculate the area of the shaded area !!
EZ FREE POINTS!!
Answer:
20 sq units
Step-by-step explanation:
Answer:
20 sq units
Hope it helps :)
what is the same as 8/9?
Answer:
8×1/9
Step-by-step explanation:
It is same as 8/9 because 8×1=8
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x + 1 = 0
ILL MAKE YOU BRAINLEST JUST HELP
Answer:
i only know one answer which is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think b and d
What’s the diameter of a circle that had a radius of 4cm
Answer:
8
Step-by-step explanation:
Answer is =8cm
Step-by-step explanation:
d=2r=2·4=8cm
2/14 as a decimal (please explain)
Answer:
Hi! The answer to your question is 0.142857. (Convert the fraction to a decimal by dividing the numerator by the denominator)
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
is written in its simplest form.
Answer:
10, 5, 19
Step-by-step explanation:
Recall that
[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
So we can multiply the fraction by
[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]
And get
[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]
Troy and two of his friends help troy's dad do yard work. After his dad paid $35 for gas, the boys made 128. How much did each child make?
PLEASE HELP! this is a 4 part problem but here is the last part :)!!!
Find the measure of the angle indicated
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
Find the surface area of a square pyramid with side length 6 yd and slant height 6 yd.
Answer:36
Step-by-step explanation:
.
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What is the length of AB⎯⎯⎯⎯⎯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. cm A horizontally-aligned scalene triangle A B C. Side A C is labeled as 18 centimeters. Side B C is labeled as 12 centimeters. Angle C is labeled as 79 degrees.
Answer:
AB = 19.6 cm
Step-by-step explanation:
Let AB be represented by c. Applying the cosine rule, we have;
[tex]c^{2}[/tex] = [tex]a ^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C
= [tex]12^{2}[/tex] + [tex]18^{2}[/tex] - 2(12 x 18) Cos [tex]79^{o}[/tex]
= 144 + 324 -432(0.19081)
= 468 - 82.4299
[tex]c^{2}[/tex] = 385.5701
c = [tex]\sqrt{385.5701}[/tex]
c = 19.6359
The side AB of the given triangle is 19.6 centimetres.
Answer:
19.6
Step-by-step explanation:
took the quiz. Shows correct
Steve reaches into a bag with 5 marbles 3 yellow marbles and 2 green marbles and randomly selects one the he puts the marble back and sam reaches into the same bag and randomly selects a marble is this independent or dependent
Answer:
Independent
Step-by-step explanation:
The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.
khan academy - 6th grade advanced
Answer:
its b
Step-by-step explanation:
find the measure of each interior angle of a regular polygon with the following number of sides 10
Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
A student incorrectly says the volume of the regular hexagonal prism, to the nearest cubic centimeter, is 1,619 cm3. What is the correct volume? What error did the student most likely make?
The volume of the regular hexagonal prism is ___ cm3.
Answer:
17.5
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation: