One degree of longitude at the equator is approximately 111 km. As we move north or south the size of a degree changes. How many kilometers would 1° of longitude measure in kilometers at 45° latitude north? A. 55.5 kilometers B.222 kilometers C. 444 kilometers D. 0 kilometers
Answer:
B.
Step-by-step explanation:
55.5 kilometers would be 1° of the longitude measure in kilometers at 45° latitude north.
What are longitude and latitude?Latitudes are horizontal lines that indicate how far away from the equator a location is. Longitudes are vertical lines that represent the east and west directions relative to Greenwich, England's meridian. Cartographers, geographers, and others can pinpoint points or locations on the globe by combining latitude and longitude.
Given, At the equator, one degree of longitude is around 111 kilometers. The size of a degree fluctuates as we go north or south. since the equator is perpendicular to the pole. which is 90 degrees hence it's asking distance of 45 therefore from the proportionality concept in a right angle triangle. the distance at 1 is at 45 latitudes is 111/2 or 55.5.
Therefore, At 45° latitude north, 55.5 kilometers would represent 1° of the longitude measurement in kilometers.
Learn more about longitude and latitude here:
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A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume?
What would the inequality look like
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
78/329 times 890/2800 (900/322 x 780/900)
43+9=10+42 and 10+42=52, then 43+9
Factor the expression completely
6x²-4x²-16x
Answer: 2x(x - 8)
6x² - 4x² - 16x
= 2x² - 16x
= 2x(x - 8)
Step-by-step explanation:
Answer:
2x(x-8)
Step-by-step explanation:
Evaluate.
6x²-4x²-16x = 2x²-16x
Factorise 2x.
2x²-16x = 2x(x-8)
Solve for X : 8x + 3 = 2x
Answer:
x = -1/2
Step-by-step explanation:
− ∣2x + 4∣ + 3 = -4
Confusion has entered my brain.
Answer:
[tex]x=\frac{3}{2}[/tex] or [tex]x=-\frac{11}{2}[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
Hope this helps! :)
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
Find the slope-intercept equation of the line.
I need the equation not the answer
Help plz
Answer:
y=4/5x+4
Step-by-step explanation:
Plzzzz helpppp!!!!what are the coordinates of the point on the directed line segments from (-6,-4) to (4,6) that partitions the segment into a ratio of 2 to 3?
Answer:
(2/3, 8/3)
Step-by-step explanation:
Using the line segment equation we get: (x,y)=(-6+2/3(4-(-6)), -4+2/3(6-(-4))=(2/3,8/3)
Answer:
Full Answer
Step-by-step explanation:
(-2,0)
what is 28r-9(2r+6) simplied?
Answer:
10r-54
Step-by-step explanation:
Answer:10r-54
28r-9(2r+6) bring -9(2r+6) that gives us -18r-54 then we bring back the 28r translating to 28r-18r-54 simply 28-18=10 so 10r-54.
The sum of two numbers is 60. One number is 4 times as large as the other. What are the numbers? Larger number: Smaller number:
Answer:larger=48, smaller=12
Source:trust me bro
what is the y-intercept of the graph of the function
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
would a triangle with the sides of 16 m, 30 m, and 34 m make a right triangle?
Answer:
Yes, it would make a right triangle.
Step-by-step explanation:
A right triangle must follow the equation: a^2 + b^2 = c^2
16^2 + 30^2 = 34^2
256 + 900 = 1156
1156 = 1156
TRANSPORTATION The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y=0.75x+3, where x is the number of miles traveled and y is the cost of the trip. Find and interpret f(17).
Answer:
f(17) = $15.75
The amount it takes for a trip of 17 miles is $15.75
Step-by-step explanation:
Here, we want to calculate f(17)
The equation is given as;
y = 0.75x + 3
For f(17), substitute x for 17
y = 0.75(17) + 3
y = 12.75 + 3
y = $15.75
What f(17) means is that the ride was for 17 miles
$15.75 is for a trip of 17 miles
Fill in the missing angles (GIVING BRAINLIEST, THANKS, and 15 Points)
Answer:
theres no picture availible
Step-by-step explanation:
Plz help I’m getting timed
Answer:
16
Step-by-step explanation:
Answer: Your answer is 16.
Step-by-step explanation:
Solve this system of equations using elimination.
X-6=-17
-2x+12y=7
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(−11,−5/4)
Equation Form:
x=−11,y=−5/4
Help please...............
Answer is D
Because 0.36-0.26 is 0.1 and so is 0.26-0.16 and so on.
Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
-0.51x + 0.21x = 6.3
x= 6.3
What is the circumference?
7 ft
Answer:
C = 7π
Step-by-step explanation:
Diameter: 7 feet
Formula: C = πd (Circumstance = π × Diameter)
C = 7π
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
What is the value of a?
–31
–7
–5
–1
Answer:
i think its -31
Step-by-step explanation:
if im wrong im sorry
Answer:
D. -1
Step-by-step explanation:
Edge
find the missing angle
I already named the shape I just need help solving for x
Answer:
3 =x
Step-by-step explanation:
The sides are all equal length
x+5 = 3x-1
Subtract x from each side
x+5 -x = 3x-1 -x
5 = 2x-1
Add 1 to each side
5+1 = 2x-1+1
6 = 2x
Divide by 2
6/2 = 2x/2
3 =x
5th grade math. Correct answer will be marked brainliest.
Answer:
Leslie's answer shows 10 hundredths, which is the same as the 1 tenths in Paul's answer. So both answers are correct.
Step-by-step explanation:
A zero at the end of a decimal number is redundant, it makes no different to the value. It's kind of like how 010 is equal to 10. There is no point in the extra zero at the front. I hope this helps!
i need help with the picture down below. asap if you could.
Answer:
3x - 5y = -55
Step-by-step explanation:
Calculate the measure of ABC to the nearest tenth of a degree.
Answer:
I had done rough method on the page
Step-by-step explanation:
I think first once is correct ...
Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?
Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.
Step-by-step explanation:
Answer: Yes it is a direct proportional relationship
================================================
Explanation:
The equation is in the form y = kx, where
x = number of sheets of paper
k = weight of 1 sheet of paper
y = weight of all the x sheets of paper
x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).
Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.
Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).
f(x) = x2 + x – 2
f(x) = 2x2 + 2x – 4
f(x) = x2 – x – 2
f(x) = 2x2 –2x – 4
Answer:
B! just took it!
Step-by-step explanation:
Answer:
B. f(x) = 2x2 + 2x – 4
Step-by-step explanation:
it's lit!!!