There is a circumference of 69.167 miles per degree of latitude.
How many arc does the Earth comprise by one degree of its latitude?
Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:
s ∝ θ
s = k · θ (1)
Where k is the constant of proportionality, in miles.
Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:
s / 24900 mi = 1° / 360°
s = 1 / 360 × 24900 mi
s = 69.167 mi
There is a circumference of 69.167 miles per degree of latitude.
To learn more on circumferences: https://brainly.com/question/4268218
#SPJ1
In Science class, 23 out of 25 students are present. What percent of the class is present?
Answer:
94.25% of the class is present
(20 points) plz help i rlly need this turned in soon
Answer:
I think for the star the answer is: 14.5 but i might be wrong i haven't done this in a long time T^T
an=46+5(n-1),n=1,2,3...
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:n=1,2,3
an=46+5(1-1)
an=46+5=51.
an=46+5(2-1)
an=46+5*1=51
an=46+5(3-1)
an=46+4*2
an=46+8=54
an=51(1)
an=51(2)
an=54(3)
Can u plz help me with this
Answer:
the rate of gas usage is 44.7 miles per gallon.
Find x.
12
10
8
10.5
Answer:
im doing this one right now and i think the answermis 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Three different coins are tossed. What is P(tail, head or tail, head, or tail)
Answers:
Probability of landing all three coins on head: [tex]\frac{1}{8}[/tex]
Probability of landing all three coins on tail: [tex]\frac{1}{8}[/tex]
Probability of landing two coins on head and one on tail: [tex]\frac{3}{8}[/tex]
Probability of landing two coins on tails and one on head: [tex]\frac{3}{8}[/tex]
Step-by-step explanation (Read Carefully):
-How to calculate this is that there are three possible outcomes when tossing the three coins. So, if you group all the possible outcomes of heads and tails when tossing the three coins in one event, you’ll get eight events. Let’s take a look at it:
-A way to organize this is to have:
H = heads
T = tails
-Total of eight events, where each event is the probability of the three coins being tossed (possible events with equal probability, and order matters):
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Now, let’s apply some questions:
⇒ Probability of landing all three coins on heads: [tex]\frac{1}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on heads? Well, you can see that there is only one possible event that has HHH. So, the probability of landing all three coins on heads (out of the eight events) is [tex]\frac{1}{8}[/tex].
⇒ Probability of landing all three coins on tails: [tex]\frac{1}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on tails? Well, you can see that there is only one possible event that has TTT. So, the probability of landing all three coins on tails (out of the eight events) is [tex]\frac{1}{8}[/tex].
⇒ Probability of landing two coins on heads and one on tails: [tex]\frac{3}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on heads and one on tails? Well, you can see that there are three possible events that include HHT, HTH, THH. So, the probability of landing two coins on heads and one on tails (out of the eight events) is [tex]\frac{3}{8}[/tex].
⇒ Probability of landing two coins on tails and one on heads: [tex]\frac{3}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on tails the one on heads? Well, you can see that there are three possible events that include HTT, THT, TTH. So, the probability of landing two coins on tails and one on heads (out of the eight events) is [tex]\frac{3}{8}[/tex].
I hope you understand and that this helps with your question! :)
Algebra 1 Honors PMA
Which of the following are equivalent to 8^3/2
A. 4
B. [tex]2^{1/2}[/tex]
C. [tex]\sqrt 8^{3}[/tex]
D. [tex]\sqrt[3] 8^{2}[/tex]
G. [tex]16\sqrt2[/tex]
Answer:
C is the answer √(8^3)
The initial value for the root is 2 and it doesn't need to be written so 8^3/2
Y=1/6x-7 find slope and y intercept
Answer:
1/6 is the slope and -7 is the y intercept
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
A swimming pool can be filled with water in 16 hours using 2 pumps. How many hours would it take if 8 pumps were used?
what is the domain and range of the following? (1,5) (-2,4) (-3,0) (-6,2)
Domain: {1, -2, -3, -6}
Range: {5, 4, 0, 2}
im not 100% sure but Im pretty sure it’s that
please help Brainly.....
If 4x²+ y²= 40 and xy = 6 , find the value of (2x − y).
answer is 2x+y=±8
hopes this helps u
Step-by-step explanation:
first find the value of X and y from above data then put that data for question
The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?
Answer:
360
Step-by-step explanation:
there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360
A recipe for a blueberry dessert requires 5 cups of fresh blueberries for every 312cups of whipped cream. At this rate, how much whipped cream is needed if 2 cups of blueberries are used?pls i need halp
Answer:
A 5:3
Step-by-step explanation:
Answer: 124.8cups of whipped cream
Step-by-step explanation:
for every 5 cups of blueberries there are 312 cups of whipped cream so you will multiply 312 and 2
(312×2= 624)
Then divide it by 5
(624÷5= 124.8)
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol de campeonato. Los conductores tienen automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camionetas que pueden transportar exactamente a 80 estudiantes.
Esta pregunta esta incompleta
Pregunta completa
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol del campeonato. Los conductores cuentan con automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes.
Seleccione todas las afirmaciones que sean verdaderas sobre la situación.
a) Si van 12 coches, se necesitan 2 furgonetas.
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
e) Si pasan 20 autos, no se necesitan camionetas.
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
Answer:
La opción b, e y f.
Step-by-step explanation:
Pasando por las opciones dadas:
c = coches que pueden llevar a 4 estudiantes
v = furgonetas con capacidad para 6 estudiantes
a) Si van 12 coches, se necesitan 2 furgonetas.
= 12 (4) + 2 (6)
= 48 + 12
= 60
60 ≠ 80
La opción a es incorrecta
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
14 (4) + 4 (6)
56 + 24 = 80 estudiantes
La opción b es correcta
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
Por lo tanto:
5 (4) + 11 (6)
= 20 + 66
= 86.
86 es mayor que 80, la opción c es correcta, habría un espacio adicional para 6 estudiantes.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
Por lo tanto:
10 (4) + 8 (6)
40 + 48
= 88
e) Si pasan 20 autos, no se necesitan camionetas.
20 (4) = 80 estudiantes
La opción e es correcta
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
8 (6) + 8 (4)
= 48 + 32
= 80 estudiantes.
La opción b es correcta
Por lo tanto, la ecuacióna que describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes es la opción b, e y f.
On a school field trip, the bus travels 20 miles in 30 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time.
Answer:
40mph
Step-by-step explanation:
Using D = rt, the current variables we have are
D = 20 miles
t = 30 minutes
Since the goal is rate, we alter the equation to r = D/t.
In addition, we have to convert minutes into hours so we can
r = (20 / 30)*2/2
r = (40/60)
60 minutes is converted into an hour so the rate r is 40 miles per hour.
r = 40/1
Which of the following number lines shows the correct sum of the number above and -5/2?
A.
B.
C.
D.
What is the slope line of a perpendicular to this line " y = 5x -4 "
Answer:
m=9
Step-by-step explanation:
Easy math problems!!!!!!
Answer:
[tex]60[/tex]
Step-by-step explanation:
[tex]a {}^{2} = c {}^{2} - b { }^{2} \\ = 61 {}^{2} - 11 {}^{2} \\ = 3600 \\ a = \sqrt{3600 } \\ a = 60 \\ \\ hope \: it \: helps \\ pls \: mark \: it \: as \: branliest...[/tex]
Answer:
60
Step-by-step explanation:
61^2-11^2=x^2
x^2=3600
x=60
5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5x - 7 + 2x = 21
Step 2: Solve for x
Combine like terms: 7x - 7 = 21Add 7 on both sides: 7x = 28Divide 7 on both sides: x = 4whats 890 divided by 50 whats the anwser
Answer:
17.8
Step-by-step explanation:
when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
What is the slope of the line represented by the points in the table?
WILL GIVE BRAINLIST TO BEST ANSWER
What is the area of a quadrilateral with vertices at (6, 1), (12,1),
(6,3), and (12,3)?
Answer:
12
Step-by-step explanation:
Answer:
The area of the rectangle is 12 square units
Step-by-step explanation:
the coordinates (6,1) and (12,1) is the base and the other coordinates are the top. the height is 2 and the base is 6 so you get 12
choose the number that is larger than: 1.11 x 10 a.90,000,000,000 b.5.66 x 10 c.1.01 x 10 d.1.01 x 10
This number is greater than our solution to 1.11 * 10^12.
What are exponent and examples of them?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.First we need to find the value of 1.11 * 10^12.
We need to solve the exponent first.
10^12 = 1000000000000
Next, we will multiply this by 1.11.
1,000,000,000,000 * 1.11 = 1,110,000,000,000
The value of 1.11*10^12 is equal to 1,110,000,000,000.
We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.
Now we will find the value of option b).
5.66 * 10^11.
We need to solve the exponent first.
10^11 = 100000000000
Next, we will multiply this by 5.66.
100,000,000,000 * 5.66 = 566,000,000,000
This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.
Now we will find the value of option c).
1.01 * 10^13.
We need to solve the exponent first.
10^13 = 10,000,000,000,000
Next, we will multiply this by 1.01.
10,000,000,000,000 * 1.01 = 10,100,000,000,000
This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.
Learn more about exponent
brainly.com/question/5497425
#SPJ4
The complete question is -
Choose the number that is larger than: 1.11 x 10 to the 12 power A. 90,000,000,000 B. 5.66 x 10 to the 11th power C. 1.01 x 10 to the 13th power D. 1.01 x 10 to the 12 power
Which equation represents the hanger below. x represents the triangles while y represents the square
Answer:
Which equation represents the hanger below. x represents the triangles while y represents the square
Answer:
Step-by-step explanation:
so first divide
multiply and subtract
and think a little
there its easy :D
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?
Why is 64 a perfect square, but 60 is not?
Answer:
Step-by-step explanation:
because it needs to be a number times itself to be be a perfect square
Answer:
The square root of 64 gives the original number. If you square 8, you get 64, making it a perfect square. However, 60's square root is only approximate to 60 and very close to it when squared. Therefore, it cannot be a perfect square.
Hope it helps.
At a cricket match 4/9 of the supporters are supporting the home team.
The rest are supporting the away team. 3/5 of the away team supporters
are male.
a. What fraction of all the supporters are male and supporting the away
team?
b. What fraction of all the supporters are female and supporting the away
team?
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
What is a fraction?A fraction is a value representing a part of a whole.
We have,
Supporters for the Home team = 4/9
Supporting for the away team = 1 - 4/9 = 5/9
Now,
Male supporters from the away team = 3/5 x 5/9 = 1/3
So,
Female supporters from the away team = (1 - 3/5) x 5/9 = 2/5 x 5/9 = 2/9
Thus,
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ1
i don’t know how to solve this
9514 1404 393
Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
3x +15 > 12
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
-(3x +15) > 12
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)