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joja [24]
3 years ago
8

What is 5.03 rounded to the nearest decimal place

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0
5 is the answer answer

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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
Questions in picture!! Math!!!! Brainliest if correct!!
Natalija [7]

Answer:

x=85 , y=45

Step-by-step explanation:

If there is a line intersecting another line, the 2 angles being created must add up to 180. So, to find x, you basically just have to subtract 95 from 180, which is 85.

The angles of a triangle must add up to 180 as well. If we already know 2 of the angles, then we can find the other one by subtracting those numbers from 180. 180-85-50= 45.

Therefore x=85 and y=45.

5 0
3 years ago
Read 2 more answers
Can you Rewrite the following expression using the GCF and distributive property of 15+21?
sertanlavr [38]

You know i am learning the same thing but sorry i don't know the answer

7 0
3 years ago
Describe the y-intercept and end behavior of the following graph
castortr0y [4]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Which of the points listed is the same distance from the y-axis as the point (−1.5, 6)?
Volgvan
The complete question in the attached figure

we know that
<span>the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates
</span>
in this problem
the point <span>(−1.5, 6)
the </span>absolute value of x-coordinates is 1.5
hence 
the distance is 1.5

therefore

the answer is
the option B) the point (1.5,-3)

7 0
3 years ago
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