A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?
Answers
Answer:
69.46 km
Step-by-step explanation:
Just did on Edge 2020
The distance of the plane from its original location is 69.46 km
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
According to the question
A plane flies 35 km in the direction N 30° W,
and then flies 60 km in the direction N 60° E
i.e
When we plot its figure
we will observe it will form a right angled triangle
with perpendicular = 35 km , Base = 60 km
and Hypotenuse = distance form original location to current location
Now,
By using the formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse² = 35² + 60²
Hypotenuse² = 4825
Hypotenuse = 69.46 km
Hence, the distance of the plane from its original location is 69.46 km.
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Related Questions
4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:
Answers
Answer:
1 rose cost $1.5
1 carnation cost $0.5
Step-by-step explanation:
Let the price for one rose be r, price for one daisies be d and the price for one carnation be c
For Ben;
5r + 8d + 2c = 14.5
For Alex
3r + 12d + c = 14
For Joe
10r + d + 3c = 17.25
From equation iii;
d = 17.25- 10r - 3c
Insert this into the first two equations;
5r + 8(17.25-10r-3c) + 2c = 14.5
5r + 138 - 80r -24c + 2c = 14.5
-75r -22c = -123.5
Thus;
75r + 22c = 123.5
Insert the formula for d in the second equation;
3r + 12(17.25-10r-3c) + c = 14
3r + 207 - 120r -36c + c = 14
-117r-35c = 14-207
117r + 35c = 193
So we have two equations to solve simultaneously;
75r + 22c = 123.5
117r + 35c = 193
Multiply first equation by 35 and second by 22
2625r + 770c = 4322.5
2574r + 780c = 4246
Subtract second from first
51r = 76.5
r = 76.5/51
r = 1.5
Insert this in the equation below;
75r + 22c = 123.5
75(1.5) + 22c = 123.5
112.5 + 22c = 123.5
22c = 123.5-112.5
22c = 11
c = 11/22
c = 0.5
Solve for x. 3(5 + 4x) = 75
Answers
Answer:
3(5+4x) = 75
Step-by-step explanation:
Step 1: Distribute. --> 3(5+4x) = 75
15 + 12x =75
Step 2: Find X. ---> 15 + 12x = 75
-15 -15
12x = 60
Step 3: Divide. 12 12
Answer: x = 5
Answer:
X=5
Step-by-step explanation:
8 (x + 5) + 4 = 60
........
Answers
Answer:
or, 8×x+ 40+4= 60
or,8x+44=60
or,8x= 60- 44
or,8x= 16
or,x= 16/8
or,x= 2
:. x= 2
Step-by-step explanation:
first we have to multiply . if there is plus we have to do minus .then it came answer .then we can divide and we can get the value of x
x = 2
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
Step-by-Step explanation:
Step 1: Define
8(x + 5) + 4 = 60
Step 2: Solve for a
1. Distribute 8: 8x + 40 + 4 = 60
2. Combine like terms: 8x + 44 = 60
3. Isolate x term: 8x = 16
4. Isolate x: x = 2
Step 3: Check
Plug in x to verify it’s a solution.
1. Substitute: 8(2 + 5) + 4 = 60
2. Add: 8(7) + 4 = 60
3. Multiply: 56 + 4 = 60
4. Add: 60 = 60
Which statement is true about perpendicular lines?
Help please!!
Answers
Answer:
The answer is that they intersect at the right angles 90°
Answer:
they intersect at right angles (90 degrees)
Step-by-step explanation:
Bailey is inviting people to her wedding and wants to stay at or below her budget of $4,500 for the food. The cost will be $65 for each adult's meal and $20 for each child's meal. Part A: Write an inequality to represent the situation. Part B: If there are 63 adults coming, what is the maximum number of children attend and eat the meal? Why?
Answers
The answer for part is in the picture because brainly doesn’t let you put inequality’s
For part B) the maximum number of children is 20
BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00
Answers
Answer
how much is like saying time the this
Step-by-step explanation:
60,000 time 9.35%= 56100
Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?
Answers
Answer:
123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer
Write a situation that could be represented by the algebraic expression 3a + 2.15.
Answers
Answer:
5.15
Step-by-step explanation:
5.15 = 3a + 2.15
5.15 - 2.15 = 3a
3.15 = 3a
a = 0.05
I hope this helps you :)
Write the equation of the line that has a slope of 3 and passes through (5, 11)
y = 3x - 26
y = 3x - 38
y = 3x - 4
x = 3y - 4
Answers
Answer:
3x-4
Step-by-step explanation:
y=ax+b general type of the line
a is the slope
y=3x+b
put 5 instead of the x and put 11 instead of the y
11=15+b
b=(-4)
Equation is 3x-4
Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?
Answers
Step-by-step explanation:
(1$) 7+ ($5) 4 + ($10) 11=22 bills
7+20+110=137$
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3
Answers
Answer:
-7+-3=-4
Step-by-step explanation:
what is 2.99 x 0.6 in dollars and cents plz help:(
Answers
Answer:
the answer is 1. 794
Step-by-step explanation:
Answer:1.794 is the answer to you question.
Step-by-step explanation:
A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.
Answers
Answer:
Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds
Step-by-step explanation:
Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids
Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond
Mathematically 152/6 = 25.3333
Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp
Which of the following is an arithmetic sequence with common difference 2
Answers
Answer:
D
Step-by-step explanation:
The arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
The common difference is equal to 2. The arithmetic sequence will be written as,
13,15,17,19
Therefore, the arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.
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Select the correct locations on the graph. Select the lines that represent functions.
Answers
Answer:
bruh there isnt a graph or anything we cant answer it
Step-by-step explanation:
Answer:
where is it
Step-by-step explanation:
17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68
Answers
Answer:
D. 18.4, 18.04, 17.86, 17.68
Step-by-step explanation:
Very Easy!
can someone please help me with this problem!!
Answers
Answer:
Step-by-step explanation:
the bat is 12. the pumpkin is 5. and the weird looking thing is 14
14 plus 14 plus 12 is 40
12 minus 5 is 7
5 plus 14 is 19
14 minus 5 plus 12 is 21
Answer:
21
Step-by-step explanation:
Green bat: x
Purple bat: y
Pumpkin: z
Given:
2x + y = 40
y - z = 7 ===> y = 7 + z
z + x = 19 ===> z = 19 - x
Substitution to find green bat x:
2x + y = 40
2x + (7 + z) = 40
2x + 7 + z = 40
2x + 7 + (19 - x) = 40
2x + 7 + 19 - x = 40
x + 26 = 40
green bat: x = 14
Substitution to find pumpkin z:
z + x = 19
z + (14) = 19
z + 14 = 19
pumpkin: z = 5
Substitution to find purple bat y:
y - z = 7
y - (5) = 7
y - 5 = 7
purple bat: y = 12
Solve for x - z + y:
14 - 5 + 12 = 21
Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.
Answers
Answer:
The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
Step-by-step explanation:
Current age of Alex = 8
Current age of the horse in human years = 50
Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.
Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:
The age of the horse, in human years, when Alex was born = 50 - 8 = 42
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
This can be presented in a table as follows:
Age of Alex Age of the Horse (in human years)
Eight years ago 0 42
Current age 8 50
Is -5.375 a rational number
Answers
Answer:
Irrational
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.
Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is
Answers
Answer:
6
Step-by-step explanation:
dfsfads
A well is to be dug at the location in the diagram. Use the diagram for the parts.
The equation that represents the road is y= ______
Answers
Answer:
[tex] y = \frac{1}{6}x - 5 [/tex]
Step-by-step explanation:
The equation that represents the road can be written as [tex] y = mx + b [/tex]
Find, m = slope, and b = y-intercept of the line.
Using two points on the line, (-6, -6) and (6, -4), find the slope:
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]
Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.
[tex] -6 = \frac{1}{6}(-6) + b [/tex]
[tex] -6 = -1 + b [/tex]
Add 1 to both sides
[tex] -6 + 1 = b [/tex]
[tex] -5 = b [/tex]
Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].
✅The equation that represents the road would be:
[tex] y = \frac{1}{6}x + (-5) [/tex]
[tex] y = \frac{1}{6}x - 5 [/tex]
In an 11 team soccer league, each team plays once what is the total amount of games played?
Answers
Answer:
22
Step-by-step explanation:
11 x 2 = 22
22 teams played
three fourth c = five ninthe
Answers
Answer:
Step-by-step explanation:
3/4c=5/9
C=5×4/9×3
C=20/27
At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn
was $12. How much was the soda
Answers
Answer:
$6
Step-by-step explanation:
18-12=6
sksmskskssksksk
Answer:
$6
Step-by-step explanation:
18-12=6
A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?
Answers
Answer:
48 I think
Step-by-step explanation:
12+12+12+12=48
or 12 x 4=48
Answer:
48
Step-by-step explanation:
12+12+12+12 = 48
or
12x4=48
HURRY PLEASE!!!!!!!
What is the argument of z = 1/16 - square root of 3/16 i?
Answers
Answer:
A
Step-by-step explanation:
Edg2020
The value of the argument of z is -π/3.
What is the argument of z?The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.
We define a singular value known as the major argument of z to be more precise.
Given z = 1/16 - √3/16i
equation of z is x + iy
here x = 1/16 and y = -√3/16
to find the angle,
tanФ = y/x
tanФ = (-√3/16)/(1/16)
tanФ = -√3
Ф = tan⁻¹(-√3)
Ф = -π/3
Hence arguement of z is -π/3.
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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?
Answers
9514 1404 393
Answer:
379 adult tickets896 student ticketsStep-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...
5a +1(1275 -a) = 2791
4a = 1516 . . . subtract 1275 and simplify
a = 379 . . . . . divide by 4
1275-a = 896
379 adult and 896 student tickets were sold.
pls give the answer
Answers
Answer:
It should be 245 m
Step-by-step explanation:
Separate it like this:
chop of the rectangle part and find the area of that and then add it to the trapezoid part
10*20 = 200.
Area of a trapezoid = 5+10/2 *6.
5+10 = 15. 1
5/2 = 7.5.
7.5*6 = 45.
45 + 200 = 245
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10
Answers
Answer:
-5 and 2
Step-by-step explanation:
Help me pleaseeeeee!!
Answers
Answer:
A
Step-by-step explanation: