For your question:
"A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance,
x, from the starting location?"
Please see above for answer.
Let me know if you have any further questions.
The distance, x, from the starting location will be 183.6 miles.
What is distance?Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Let the ship start at point O and proceed for 60 miles in the 34 °S direction to point P. Then, after 150 kilometers Q.
From the obtained value, the angle P can be obtained;
∠P=180°-(45°+20°)
∠P=115°
From triangle,
OP=60 cm
PQ=150
∠P=115°
OQ=x
OQ²=OP²+PQ₂-2OP.PQ.COS∠P
x²=60²+150²-2(60)(150)COS(115°)
x²=3600+22500+7606.8
x²=33,706.8
x=√(33,706.8)
x=183.59
x=183.6 miles
Hence,the distance, x, from the starting location will be 183.6 miles.
To learn more about the distance, refer to the link;
https://brainly.com/question/26711747
#SPJ2
What is the slope of the line?
Answer:
- 7/4
Step-by-step explanation:
1) (y2 - y1)/(x2 - x1)
2) pick two points, mine were (1,-3) and (-3,4)
3) Substitute the values (4+3)/(-3-1)
4) Solve and no matter what points you’ll get -7/4
What is the percent of change from 5,000 to 9,000?
Answer:
40%
Step-by-step explanation:
10000 = 5000 = 50% + 9000 = 40%
What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work
Answer: -1/4
Step-by-step explanation: The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
-1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
So the two points are (0,5) and (20,0)
m=0-5/20-0
m=-5/20
m=-1/4
Hence -1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Pleeeeeaaaasee help
The difference of a number and 8 is 46 less the number. Find the number
Answer:
54
Step-by-step explanation:
what u gotta do is add 46 with 8 and you can check my answer with 54-46=8
difference means you subtract
sum means you add
product means you multiply
and quotiant means you divide
The required number is 27.
Given that,
To determine the number the difference of a number and 8 is 46 less than the number
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27
Thus, the required number is 27.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Can someone really help me please
Answer: 22
Step-by-step explanation:
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3 ≤ 7
please solve asap im so confused
Answer:
Step-by-step explanation:
-1/5 x+3 ≤7
-1/5 x≤7-3
-1/5 x≤4
x≥-20
{-20,-10,0,10,20}
20pts answer please the picture
Answer: Hope this helps!
Step-by-step explanation:
Area of a trapezoid formula base a+base b/2*h
Base a is the top length (22.5)
Base b is the bottom length (49.9)
Add those two lengths together (22.5+49.9=72.4)
Divide that by two (72.4/2=36.2)
Then multiply that by the height (36.2*23.8=861.56)
So your area is 861.56
what is -4 (-6x + 3) = 12
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
Answer:
Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!
Solve the system.
2x + 3y – z = -1
6. x - 2y + 4z = 18
(5x + 6y – 2z = -6
Answer:
x=-4
y=7
z=14
Step-by-step explanation:
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
PLEASE HELP ASAP!!!!!! HELP ME PLEASE!!!!!
Answer:
m∠A = 74°
m∠T = 32°
Step-by-step explanation:
m∠A must be m∠C due to symmetry.
m∠C + m∠A + m∠T = 180° because it's a triangle.
m∠T = 180 - m∠C - m∠A = 32
3/8 divided by 2/3.
Answer:
Fraction: 9/16
Decimal: 0.563
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
PLEASE HELP NEED HELP ASAP!!!!!!
Answers:
x = 3
y = 9
=========================================================
Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?
A parabola had a vertex at (3,4) and passes through the point (5,-4) what is the standard form equation for the parabola.. help pleasee
Answer:
i need help on this one aswell
Step-by-step explanation:
noooooooooooo
pls
someone help us on this question
The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16t ^ 2 where s is the distance, in feet traveled by an object falling freely from rest in seconds.
Given :
The height of a building is 1417 ft.
To Find :
How long would it take an object to fall to the ground from the top.
( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )
Solution :
Putting value of height in given equation, we get :
[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]
Therefore, time taken by object to reach the ground is 9.41 seconds.
-7(2x-3) equivalent expression
Answer:
-14x+21
Step-by-step explanation:
-7(2x-3)
-14x+21
Answer:
-14x+21
Step-by-step explanation:
Help mee cuz if you help me I will give you brain last
Answer:
it is c
Step-by-step explanation:
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:A
Step-by-step explanation:
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.You can learn more about translation concepts at https://brainly.com/question/13671886
How do you solve quadratic equations?
Answer:
Completing the square
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation:
there
Answer: Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add.
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation: Hope this helps!
What is the rate of change of the function y= -7?
Answer:
Zero
Step-by-step explanation:
Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7
Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero
The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?
Answer:
$12
Step-by-step explanation:
To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35
Answer:
7 and 21
Step-by-step explanation:
The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.
Answer:
$9.25
Step-by-step explanation:
2.75+ .5(13)
.50 (13)= 6.5
6.5 +2.75= 9.25
I need help please thank you
Answer:
its b i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.
Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.
Answer:
Step-by-step explanation
By Using Synthetic Division Method:
3 1 0 -19 30
3 9 -30
1 3 -10 0
factorise: (x^2+3x-10)(x-3)
=(x+5)(x-2)(x-3)
Answer:
ITs B on edge
Step-by-step explanation:
cause i said so cuzzzz
what are the zeros of the polynomial x squared+5x+6
Answer: (-3, 0) and (-2, 0)
Step-by-step explanation:
1. Factor
(x+3)(x+2) = 0
2. Check if your factoring is correct
x^2 + 3x +2x + 6 = 0
x^2 + 5x + 6 = 0
3. Look back at factors and use them to find the zeros
(x+3) - > (-3, 0)
(x+2) -> (-2, 0)
what percent of 120 is 66?
Answer:
55%
Step-by-step explanation:
66
120
x 100% = 55%
Answer:
66 is 55% of 120
Step-by-step explanation:
66 = 120 * x%
percent just means out of 100
for example, 20% is equal to 20/100
so, x% is x/100
66 = 120 * x/100
66/[tex]\frac{x}{100}[/tex] = 120
66 * 100/x = 120
6600/x = 120
cross multiply
6600/x = 120/1
6600 * 1 = x * 120
6600/120 = x
x = 55
A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?
Answer:
$569.50
Step-by-step explanation:
15% deduction from the initial price(100%) will have us remaining with 85%
100% = 670
85% = 85% x 670
100%
= $569.50