Harvey flew south 300 miles. He changed planes and then flew east 500 miles. If he travels a straight path back home, how many miles will he fly? Round to the nearest mile.
Answers
Answer:
583 miles
Step-by-step explanation:
Let's draw this out (see attachment).
The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 300 and b = 500. Then:
300² + 500² = c²
90000 + 250000 = c²
340000 = c²
c = √340000 ≈ 583.1 ≈ 583 mi
Thus, the answer is 583 miles.
~ an aesthetics lover
Related Questions
Given; D is the Midpoint of CE / Prove DE =1/2CE
Answers
Answer:
Check explanation
Step-by-step explanation:
Here, we want to make a prove;
Mathematically , since D is the midpoint of CE
Then;
CE = CD + DE
Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE
I.e CD = DE
Hence, we can express CE as follows;
CE = DE + DE
CE = 2 DE
Divide both sides by 2
CE/2 = DE
Hence; DE = 1/2 CE
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.
Answers
Answer:
The bridge can hold 1 ton
Step-by-step explanation:
Given that :
Model of bridge built is exactly 4 times smaller than actual bridge
Model bridge : actual bridge
1 : 4
From test,
Model bridge can hold 8000 ounces
Since actual bridge is 4 times the model bridge,;
Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces
16 ounces = 1 pound
2000 pound = 1 ton
Hence,
32,000 ounces = (32000 / 16) pounds = 2000 pounds
Hence,
2000 pounds = 1 ton
Answer: 1 ton
Step-by-step explanation:
what is 18 X 19 i cants figure it out
Answers
Answer:
342
Step-by-step explanation:
Answer:
342
Step-by-step explanation:
If you were asking what 18 times 19 was thats the answer.
WHAT IS THE DIFFERENCE BETWEEN A RELATION AND A FUNCTION?
Answers
Answer:
The Difference between a relation and a function is that a relation is a sett of "any" ordered pair. A function is a set of ordered pairs with only one value
High Hopes^^
Barry-
Answer:
Step-by-step explanation:
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of \begin{align*}y\end{align*} for every value of \begin{align*}x\end{align*}
37.06 - (-26) +34.67
Answers
Answer:
97.73
Step-by-step explanation:
Answer:
97.73
Step-by-step explanation:
what is 200+6870?it is a math question and I don't know it I'm in 8th grade.
Answers
Answer:
it is 7,070 because you just add
turn this equation into a sentence.
2 + 3n = 4n
Answers
Answer:
4 times a number equals 2 plus 3 times a number
Step-by-step explanation:
I know this might not make sense but this is how most people put this in a sentence. :)
The function is expressed as: "the product of a number and 3 increased by 2 is the same as the product of the number and 4"
Given the function 2 + 3n = 4n. We are to write this function as a statement:
Let "n be an unknown number.
3n can be written as the product of a number and 3"2 + 3n is expressed as "the product of a number and 3 increased by 2" 4n can be written as the product of a number and 4"Combining the statements, the function is expressed as:
"the product of a number and 3 increased by 2 is the same as the product of the number and 4"
Learn more here: https://brainly.com/question/19448765
5 stars if correct!! HELP FAST PLEASE!!!
Answers
Answer:
1 banana = 0.25
Step-by-step explanation:
Find the proportion. Simply divide the cost from the amount of bananas given:
0.50/2 = 0.25
1.00/4 = 0.25
1.50/6 = 0.25
$0.25 is the cost per banana, and is your proportion.
~
Answer:
1 banana = + $0.25
2 bananas = + $0.50
Step-by-step explanation:
If it is increasing %0.50 for every 2 bananas then that also means it's increasing $0.25 for every 1 banana.
Please help me!
Linear Equations with distribution
2(3x + 3) = 18
Answers
Answer:x = 2
Hope this helps :D
Step-by-step explanation:6x + 6 = 18
6x + 6 = 18
-6 -6
6x = 12
/6 /6
x = 2
Which expression is the completely factored form of x^6– 64y^3?
Answers
Answer:
[tex](x^2-4y)(x^4+4x^2y+16y^2)[/tex]
Step-by-step explanation:
Factoring
We need to recall the following polynomial identity:
[tex](a^3-b^3)(a-b)(a^2+ab+b^2)[/tex]
The given expression is:
[tex]x^6- 64y^3[/tex]
To factor the above expression, we need to find a and b, knowing a^3 and b^3. a is the cubic root of a^3, and b is the cubic root of b^3:
[tex]a=\sqrt[3]{x^6}=x^2[/tex]
[tex]b=\sqrt[3]{64y^3}=4y[/tex]
Now we apply the identity:
[tex]x^6– 64y^3=(x^2-4y)[(x^2)^2+(x^2)*(4y)+(4y)^2][/tex]
Operating:
[tex]x^6– 64y^3=(x^2-4y)[x^4+4x^2y+16y^2][/tex]
The remaining factors cannot be factored in anymore. Thus the completely factored form is:
[tex]\boxed{(x^2-4y)(x^4+4x^2y+16y^2)}[/tex]
the absolute value of -6 symbolically
Answers
Answer:
Use the ABS function to find the absolute value of a number. The absolute value of a non-negative number (a positive number, or zero), is the same number. For example, the absolute value of 4 is 4.
Step-by-step explanation:
Explanation: The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6
Absolute value is how far the number is from 0. -6 is 6 away from 0, so therefore the absolute value is 6.
Hope this helps!
which of the following best describes this graph?
Answers
Answer:
B. y=x^2 +7x +10
Step-by-step explanation:
Mia has a $25 gift card for an online music store. She buys an album for $9.50 and wants to use the remaining money on the card to buy individual songs, which cost $1.25 each. Write and solve an equation to find the number of songs Mia can buy.
Answers
Answer:
12
Step-by-step explanation:
Answer:
Mia can buys 12.4 songs.
Step-by-step explanation:
25 - 9.50 = 15.50
15.50 : 1.25 = 12.4
The correct answer is A bit can you please explain how that is the answer!
Answers
Answer:
7(x+5)-(2xy^2)
Step-by-step explanation:
"The product of 7" means multiplied by 7
"The sum of x and 5" implies addition
"minus the product of 2, x, and the square of y" means 2, x, and the square of y are all multiplied together subtracted from 7(x+5)
Hope this helps.
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months (m) does the zookeeper need to wait for the two snakes to be the same length?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Anaconda:
Current length = 5.23metres
Growth rate = 1.27 metres per month
Python :
Current length = 4.76metres
Growth rate = 2.04metres per month
Number of months (m) in which both will be of the same length:
Anaconda = python
5.23 + 1.27m = 4.76 + 2.04m
Solve for m
5.23 - 4.76 = 2.04m - 1.27m
0.47 = 0.77m
0.47 / 0.77 = 0.77m / 0.77
0.610 = m
Answer:
yessir
Step-by-step explanation:
Mr. Nguyen had 5/8 of a gallon of gasoline. He used 1/2 of a gallon in his lawn mower.
How much gasoline does Mr. Nguyen has left?
A.
4/8 of a gallon
B.
1/8 of a gallon
C.
1/6 of a gallon
D.
4/6 of a gallon
Answers
Answer:
1/8 of a gallon
Step-by-step explanation:
5/8=5/8
1/2=4/8
5/8-4/8= 1/8
Answer:
It´s C (AKA) 1/8 G
I did the test.
Find the slope of the line passing through the points (-9, -2) and (4, -2).
slope: 0
Answers
Kate has a 15% mistake in a 60-item test. How many mistake does Kate have in test
Answers
Answer: 9 mistakes
Work Shown:
15% = 15/100 = 0.15
15% of 60 = 0.15*60 = 9
Answer:9
Step-by-step explanation:
Solve for a show your work 3(a+3)+6=30 plzz show workkkk
Answers
Answer:
a = 5
Step-by-step explanation:
3(a+3)+6=30
Subtract 6 from each side
3(a+3)+6-6=30-6
3(a+3) = 24
Divide by 3
3/3(a+3) = 24/3
a+3 = 8
Subtract 3 from each side
a+3-3 = 8-3
a = 5
Answer:
a = 5
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 3a + 9 + 6 = 30Simplify: 3a + 15 = 30Subtract 15 from each side, so it now looks like this: 3a = 15Divide each side by 3 to cancel out the 3 next to a. It should now look like this: a = 5I hope this helps!
If 5( 3×7)=20 then what is 6x-8?
Answers
Then, plug x into (6x-8). This will be your final answer. If you give me the full question I can help!
Ollie has $145 in her savings account. She wants to save an additional $35 per week until she reaches $500. Identify the rate of change.
Answers
Answer: $75
Step-by-step explanation:
A video uploaded had 15 'up votes'. If the ratio of 'up votes' to 'down votes' was 3 : 1, how many 'down votes' did the video get?
Answers
Answer:
I think it's 5 down votes
if K is the midpoint of JL, JK = 8x+11 and KL =14x-1 , find JL
Answers
Answer:
x = 2
Step-by-step explanation:
Set the equations equal to each other, since JK + KL = JL
8x + 11 = 14x - 1 now solve
12 = 6x
2 = x
-6(-5x-1) = 5x+20
WHAT DOES X EQUAL??
Answers
Step-by-step explanation:
30x +6= 5x+20
30x -5x=20-6
25x=14
25x÷25=14÷25
x=0.56
What is the length of segment with endpoints at (-3,4) and (4,4)?
Answers
Answer:
7,0
you add to get this answer to get another answer which is this answer
I thought of a number. 3/4 of my number is 36.
Answers
Answer:
is it 27....
Step-by-step explanation:
this is because 3/4 of 36 is 27
Answer:
48
Step-by-step explanation:
The answer is 48 because when 36 is divided by 3 it equals 12 and if it is 3/4 then that means it is 12x4 which is 48 so here you go
an = an-1 +9; a1 = 2
Answers
Help Please ASAP!!!!!
Answers
Answer:
Question 1: >
Question 2: >
Question 3: <
Step-by-step explanation:
Lets start with [tex]\sqrt{83} - 12[/tex]. First you need to find the square root of 83, which is 9.1104. Right after you get the square root of 83 you need to subtract 12 which will give you -2.8895. For the second part of question one (in the image you provided), we will be doing [tex]\sqrt{49} - 10[/tex]. We will start by finding the square root of 49, which is very simple. It's 7. You would then subtract 10 from 7 which gives you -3. And finally for question 1, you have to compare -2.8895 and -3 and determine which number is greater. Which is -2.8895, so you would put >.For the 2nd question, we will start with [tex]2 + \sqrt{7}[/tex]. First, let's get the square root of 7, which is 2.6457. Now we simply add 2! You should now end up with 4.6457. Now for [tex]\sqrt{17} -1[/tex], you need to get the square root of 17, which is 4.1231. Now just simply subtract 1. You should end up with 3.1231. Now just find which number is greater. Which is 4.6457. You should put > as your answer.For the final question, we will start with [tex]15-\sqrt{15}[/tex]. Just start by getting the square root of 15, which is 3.8729. Then simply subtract 15! You should have -11.1270 as your answer. And for [tex]\sqrt{10} + 4[/tex]. Just get the square root of 10 to start which will be 3.1622. Now finally, add 4! You should get 7.1622 as your answer. Now for the final step, find the greatest number, which is 7.1622, you would then answer < for your final questionIf you have any questions just ask them below. Thank you!
Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over? Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over?
Answers
Answer:
The greatest number of packets the teacher can make with no items left over is 23.
Step-by-step explanation:
Total number of crayons = 92
Total number of sheets of paper = 23
To find the greatest number of packets the teacher can make with no items left over, find Highest Common Factor (H.C.F) of 92 and 23
92 = [tex]2^2[/tex] × 23
23 = 23
So,
H.C.F(92,23) = 23
Therefore, the greatest number of packets the teacher can make with no items left over is 23.
How can you identify the y-intercept by inspecting a table of values
Answers
Answer:
Where x is 0, the value of y is the y-intercept.
Step-by-step explanation: