Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
9514 1404 393
Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
factorise fully 6x+15x²
Answer: the fully factorized answer is 3x(2 + 5x)
Answer:
6x time 15x times 15x you will get your answer
Step-by-step explanation:
easy A F.
Help pls!! Find the value of DB and AE
Answer:
B
Step-by-step explanation:
x=2
3x + 10
3(2) + 10
6+10
16
Db=16
16(x)
16(2)
32=AE
Db=16, 32=AE which is B
plz brainliest
Answer:
16, 32
Step-by-step explanation:
BD is midsegment of the ΔACE ⇒ 16x = 2(3x + 10)
16x - 6x = 20 ⇒ x = 2
BD = 3(2) + 10 = 16 units
AE = 16(2) = 32 units
What is the value of x?
24
36
12
Select one:
O a. 8
O b. 12
O c. 6
O d.
Answer:
x = 12
Step-by-step explanation:
100 points! I will mark brainliest! Only answer if you know it please. Random answer will be reported because I’m looking for the REAL answer:)
Answer:
2 and -1/2
Step-by-step explanation:
perpendicular lines have slopes that have opposite signs and are reciprocals
Need help cant find the right answer for this one
Step-by-step explanation:
the answer is a
hope it help....
Please help
Write the equation of a line that is parallel to y=-x + 7 and passes
through the point (-4, 1). Write your answer in slope-intercept form,
y = mx + 6.
Answer:
y = -x -3
Step-by-step explanation:
I went to Desmos and kept guessing y intercepts until the line passed through the point (-4, 1). Sorry I can't explain the real way to figure this out.
The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
True or False: If there are multiple operations inside a parentheses, you do not need to complete these in the order of PEMDAS.
Answer:
False
Step-by-step explanation:
I would say false. The operations inside should always go by PEMDAS unless instructed otherwise
Answer:
FALSE
Step-by-step explanation:
Within a set of parentheses, the order of operations should be followed. This is because you will get the wrong answer if you don't.
Which equation is equivalent to the given equation? If anyone can help it means a lot
Answer:
x^2 + 16x + 60 = 0
Step-by-step explanation:
Add 16x to both sides of the given equation. We get x^2 + 16x + 60 = 0.
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Answer:
As
ST is corresponding to XY
Hence, we conclude that:
ST = XYStep-by-step explanation:
Given
△RST ≅ △TXY
To determine:
ST = ?
As
△RST ≅ △TXYSo the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.Please check the attached graph.
From the graph, it is clear that:
RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.We need to determine ST
as
ST is corresponding to XY
i.e. ST = XY
Hence, we conclude that:
ST = XYplease help me with this
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Answer:
(c) 16πx^6y^10
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
Putting the expression for r in the formula, you have ...
A = πr^2
A = π(4x^3y^5)^2 . . . . . substitute for r
A = π(4^2)(x^(3·2))(y^(5·2)) = 16πx^6y^10
Pleaseee help mee I will appreciate it
Answer:
Read explanation!
Step-by-step explanation:
A = $0.89
B = $0.92
C = $0.94
What is the slope of the line that passes through the points (0,5) and (2,8)
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
11 out of 24 peopled surveyed stated that they prefer glazed donuts at Dunkin Donuts. If 288 people buy a donut, how many can you predict will get a glazed donut?
Can smbdy help me???
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Answer:
a. One solution
Step-by-step explanation:
These are two linear equations with different x-coefficients. They have one solution.
__
Additional comment
If the x-coefficients are the same, the system may have 0 or infinite solutions, depending on the constants. It is not possible for a system of linear equations to have exactly two solutions.
Show how to simplify this problem using the distributive property.
4(12 + 6)
Hey there!
4(12 + 6)
4(12) + 4(6)
4(12) = 48
4(6) = 24
48 + 24 = ?
48 + 24 = 72
Answer: 72 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
It takes Serina .5h to walk to school. Her route is 15km long. What is
her average speed?
Answer: 3km/h
Step-by-step explanation:
15km per 5h, which is 3km per 1h. This is pretty easy. I don't know what you want for her average speed like in unit (e.g 1 hour). If you are asking for the hour unit it is 3km/h
Find the values of x and y.
Answer:
x=30° y=5
Step-by-step explanation:
All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.
so
8y=40
y=40/8
y=5
Since it's an equilateral triangle. All angles are equal And each angle has dimensions
=180°/3=60°
The angle of the straight line = 180°
so The obtuse angle of the lower isosceles triangle is 180°-60°=120°
The angles at the base of the isosceles triangle are equal
so 2x° = 180°-120°
2x°=60°
x°=60°/2
x°=30°
What’s the answer please?
Answer:
19.375
Step-by-step explanation:
Answer:
19.375
Step-by-step explanation:
[-15(-1.5)] + [(-2.5) x 1.25]
= [22.5] + [-3.125]
= 19.375
5x^2 + 42x + 16
what would the area be if x = 5
Answer:
The area would be 301 if x=5.
Step-by-step explanation:
Given expression is:
5x²+42x+16
We have to find the area when x=5
So putting x=5 in the given expression.
Area = 5(5)²+42(5)+16
Taking square of 5 and multiplying 42 by 5
Area = 5(25)+210+16
Area = 75+210+16
Adding all the terms
Area = 301
Hence,
The area would be 301 if x=5.
Which pair of points have -3 as the y-coordinate
A. Points C and G
B. Points F and E
C. Points B and D
D. Points B and L
I NEED THIS NOW PLEASEE
A local business in Central Florida is looking for a new employee to manage the company’s website. The company is looking to hire someone who can type at least 55 words per minute. Maria can type at a constant rate of 696 words in 12 minutes. Does Maria type at a fast enough rate to qualify for the job? PLSS HELP
Answer:
The answer is 58
Step-by-step explanation:
The number 696 with 12 minutes you can divide 696 with 12 then you get that value which is 58.
What equation in slope intercept form represents the line that passes through the two points?
(2, 5), (7, –1)
Answer:
y = -3/2 + 8 and/or 3x + 2y = 16
Step-by-step explanation:
(x,y) is helpful to remember
*I believe I'm correct, but I would recommend a quick double-check
solve for x and y. please, i'll give brainiest. i really need help!
Which description corresponds to the relationship shown in the table
Answer:
A
Step-by-step explanation:
earning $10 an hour because it increases by 40
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT
Pls help
Answer:
9.42
Step-by-step explanation:
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answer:
64m2+2m+255
Step-by-step explanation:
NOBODY HAS HELPED ME TODAY ??? please help me !!!
WHAT IS 7/3 OF 6093?????????
Answer:
14217
Step-by-step explanation:
(7÷3)×6093=
14217