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fiasKO [112]
1 year ago
6

4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi

les. Find the distance of the ship from its original position.
Mathematics
1 answer:
olga2289 [7]1 year ago
8 0

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

x^{2} =4804.9

\sqrt{x} ^{2}  = \sqrt{4804.9}

x= 69.3 mi

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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
2 years ago
A man spent 15/16 of his entire fortune in buying a car $7500. How much money did he possess?
Anvisha [2.4K]
X=his fortune
15/16X=7500
X=7500 x 16/15
X=8000
3 0
1 year ago
Read 2 more answers
Asap pls help and explain
eduard

Answer:

the answer would be 90

Step-by-step explanation:

100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.

3/8 times 240 elves is 90 elves.

If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!

4 0
1 year ago
A- 5.57<br> B- 41<br> C-12<br> D-21.71
Kryger [21]

Answer:

Step-by-step explanation:

If KM bisects angle NKL, the angle 3 is congruent to angle 4.  

We are given that angle 1 is congruent to angle 2, so that means that angle JKP is congruent to angle PKN.  By the definition of an angle bisector, we know then that angle NKM is congruent to angle MKL.  By the definition of a straight angle formed by opposite rays, all those angles named above add up to equal 180 degrees.  So if angle JKN = 8x + 2 and angle MKL = 3x + 5 and angles NKM and MKL are congruent, then angle NKL = 2(3x + 5) which is 6x + 10.  Again, if all those angles above add up to equal 180, then

8x + 2 + 6x + 10 = 180 and

14x + 12 = 180 and

14x = 168 so

x = 12.

Angle MKN = 3x + 5 so if x = 12, then

Angle MKN = 3(12) + 5 and

Angle MKN = 41 degrees

4 0
1 year ago
On zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one d
Natasha2012 [34]

Answer:

6 is the correct answer

Step-by-step explanation:

Hope it is helpful...

3 0
2 years ago
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