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
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°
please 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
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
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.
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.
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
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 expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answer:
64m2+2m+255
Step-by-step explanation:
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?
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 = XYShow 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:)
What is the slope of the line that passes through the points (0,5) and (2,8)
Pleaseee help mee I will appreciate it
Answer:
Read explanation!
Step-by-step explanation:
A = $0.89
B = $0.92
C = $0.94
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.
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:
Need help cant find the right answer for this one
Step-by-step explanation:
the answer is a
hope it help....
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:
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
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
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
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
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.
The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
NOBODY HAS HELPED ME TODAY ??? please help me !!!
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.
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
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.
WHAT IS 7/3 OF 6093?????????
Answer:
14217
Step-by-step explanation:
(7÷3)×6093=
14217
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
solve for x and y. please, i'll give brainiest. i really need help!