Several hours after departure the two ships described to the right are 50 miles apart. If the ship traveling south traveled 10 miles farther that the other how many miles did they each travel.
Answers
Answer:
[tex]Ship\ A = 40\ miles[/tex]
[tex]Ship\ B = 30\ miles[/tex]
Step-by-step explanation:
Given
[tex]d = 50[/tex] --- distance apart
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
The question can be represented with the attached image.
Required
Solve for x
Using Pythagoras theorem, we have:
[tex]x^2 + (x + 10)^2 = 50^2[/tex]
Open bracket
[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]
Collect like terms
[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]
[tex]2x^2 + 20x -2400 = 0[/tex]
Divide through by 2
[tex]x^2 + 10x -1200 = 0[/tex]
Expand
[tex]x^2 + 40x - 30x -1200 = 0[/tex]
Factorize
[tex]x(x + 40) - 30(x +40) = 0[/tex]
Factor out x + 40
[tex](x - 30)(x +40) = 0[/tex]
Split and solve for x
[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]
[tex]x = 30\ or\ x = -40[/tex]
Distance can not be negative
So:
[tex]x = 30[/tex]
Recall that:
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
This implies that:
[tex]Ship\ B = 30\ miles[/tex]
[tex]Ship\ A = 30 + 10\ miles[/tex]
[tex]Ship\ A = 40\ miles[/tex]
Related Questions
Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answers
Answer:
Point C
Point A is located at (3, 2)
Point B is located at (2, 2)
Point C is located at (2, 3)
Point D is located at (3, 3)
Jessica records the number of winners at a Dunga teacher booth at the town fair as shown in the table if there is 750 contestants on Monday how many should Jessica expect to a Dunka teacher
Answers
it takes four jars of in to record the store's inventory for 12 weeks at that rate how many jars of ink do you need to keep track of inventory for 33 weeks
Answers
Answer:
11
Step-by-step explanation:
So every 12 weeks there are 4 jars right? right.
1.) Divide 33 by 12 and you will get 2.75
2.) Then multiply 2.75 by 4 and you will get 11!
The problem is a bit hard to understand but I hope I answer your question correctly! Have a great day! :)
Plz show work,... need help fast please
Answers
Step-by-step explanation:
For 18:
[tex] {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in[/tex]
For 19
[tex] {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m[/tex]
the average of three numbers is 15. two of them numbers are 17 and 14 . what is the third number?,
Answers
Answer:
19
Step-by-step explanation:
Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19
500 ft of wire costs 18.44 total. What is the cost per foot?
Answers
Answer:
.03688$ per square foot.
Step-by-step explanation:
18.44 / 500 equals .03688.
Hope that this helps!
Answer:
$0.03688/ft
Step-by-step explanation:
$18.44/(500 ft) = $0.03688/ft
Is 35.336 an irrational number?
yes or no
Answers
Answer:
No
Step-by-step explanation:
Hello, 35.336 is would not be an irrational number because irrational numbers are messy numbers that go on forever like 3.14159..... A rational number is a number with clean numbers like 1.222222....., 35.336, ect. I hope this helped you!
HELP M,E PLEASE ILL GIVE YOU BRAINLIEST
;
=
Answers
Answer:
Step-by-step explanation: sure i could help you what type is it im a fresh man but im learning softmore stuff
Can someone please help me with my homework its due in two hours!!!!!! Please i need it done soon.
Answers
Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40
Answers
Answer:
For a gestation period of 6 months, the life span is 15.
Step-by-step explanation:
Gestation(months) x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span (years) y 30 12 6 3 25 12 10 40
y =? x= 6 months
Assuming the variables x and y have a significant correlation
Graphing the data on a spreadsheet
Using the linear equation obtained
y = 1.5229*x + 6.3425
x=6
y = 1.5229*6 + 6.3425
y = 15. 5
Please help me with this ASAP ASAP please please help
Answers
Answer:
4ㅈr² is formula
so
4 × ㅈ× (16)²
= 1024ㅈ cm²
Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following propositions: PROPOSITION ONE: At the 5% significance level, the appropriate decision is to reject the null hypothesis; PROPOSITION TWO: At the 1% significance level, the appropriate decision is to reject the null hypothesis.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above
Answers
Answer: a.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY
Answers
what is the area of a right triangle with sides 7ft 24ft and 25ft?
Answers
Answer:
84 ft^2
Step-by-step explanation:
[tex] \frac{7 + 24 + 25}{2} = 28[/tex]
The area is:
[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]
[tex] = 84 \: {ft}^{2} [/tex]
Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles
Answers
Answer:
It's 23.131 KL
Jordan wants to estimate the number of students in his school who have their own cell phone. He surveys every eighth person who enters the cafeteria for lunch. Is this sample biased or unbiased. Explain.
Answers
Answer:
Step-by-step explanation:
I wouldn't consider it biased, but I'll bet a stats person would. Their reason would be that those who enter the cafeteria are select segment of a school population.
What about the kids who go to clubs at noon? or other activities.What about those who are only there part time and have jobs or just go home at noon?What about those who bring lunches and want to sit outside or even in their cars if they have one?What about those who are serving detentions?Those are just four exceptions. There must be others -- like a staggered lunch period.
helppp meee plssssss
Answers
Answer:
[tex]y\leq -6[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}y \leq -3[/tex]
Our inequality requires first to solve for y.
To solve for a variable, we must isolate it.
In this case, first, we can multiple by the inverse of the fraction which is 2.
[tex]\frac{1}{2}y\leq -3\\[/tex]
[tex]2(\frac{1}{2}y)\leq -3(2) \\[/tex]
1*y=y and -3*2=-6
So our inequality stands like this -
[tex]y\leq -6[/tex]
When graphing, it must look like this:
what is the area of 12 1/2 yards by 17 1/5 yards
Answers
Answer:
The answer is more easily found if we convert the measurements to decimal.
It is now 12.5yards by 17.20 yards
= 12.5 x 17.2 = 215 square yards
Step-by-step explanation:
Which list of numbers is ordered from from greatest to least?
Answers
Answer:
A
Step-by-step explanation:
A certain television is advertised as a 90- inch Tv ( the diagonal length).
Answers
Answer:
The width is 64.3 inches
Step-by-step explanation:
Given
[tex]d = 90[/tex] --- diagonal
[tex]h = 63[/tex] --- height
Required
Determine the width (w) of the TV
To do this, we make use of Pythagoras theorem which is illustrated as:
[tex]d^2 = h^2 + w^2[/tex]
So, we have:
[tex]90^2 = 63^2 + w^2[/tex]
Evaluate all squares
[tex]8100 = 3969 + w^2[/tex]
Collect like terms
[tex]w^2 = 8100 - 3969[/tex]
[tex]w^2 = 4131[/tex]
Take positive square roots of both sides
[tex]w = \sqrt{4131[/tex]
[tex]w = 64.3[/tex] -- approximated
what is the equation for g, which is f(x)=2x+3x-1 reflected across the y-axis
Answers
Pls help with this question! Its due today!
Answers
Answer:
down below.
Step-by-step explanation:
straight lines are always 180.
[tex]x+34+2x+2=180\\3x+36=180\\3x+36-36=180-36\\3x=144\\3x/3=144/3\\x=48[/tex]
The only solution to x^2+bx+c=0 is x=5 find a and b
Answers
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
I need help please tell the right answer
Answers
Answer: 47.6 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4Step-by-step explanation:
Find the surface area
Answers
Answer:
144
Step-by-step explanation:
Surface Area is the area of every side.
Top and bottom: 6*8/2=24 (area of a triangle)
small side: 6*4=24
medium side: 4*8=32
large side: 4*10=40
So answer 24+24+24+32+40=144
Have a Great Day! (This is my first answer)
Is this a polygon
Yes or no
Answers
No its not a polygon.
It has a curve where as a polygon is a plane figure with at least three straight sides and angles
Thanks for the help xoxoate!
Plzz help!!!!
Which set of ordered pairs corresponds to the graph?
Answers
Answer:
Option 3rd is correct
Step-by-step explanation:
(1,-6),(2,-4),(2,-2),(4,-2),(6,0)
A(1,-6)
B(2,-4)
C(2,-2)
PLEASE PLEASE PLEASE
Answers
Answer:
C
Step-by-step explanation:
30 x 60 x 70 = 126,000
90 x 60 x 30 = 288,000
288,000 + 126,000 = 288,000cm^3
Answer: 288,000 [tex]cm^{3}[/tex]
Step-by-step explanation:
first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)
small prism dimensions: 60 x 30 x 40 = 72,000
large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000
add them to get 288,000 [tex]cm^{3}[/tex]
1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units
Answers
Help please.................
Answers
Answer:
X > 2
Step-by-step explanation:
