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chubhunter [2.5K]
2 years ago
8

A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of t

ime. What is the rate of the boat in still water and what is the rate of the current?
Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

9514 1404 393

Answer:

  • boat: 48 km/h
  • current: 14 km/h

Step-by-step explanation:

The upstream speed is ...

  u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

  d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

  b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

  w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.

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The area that lies between Z= - 0.42 and Z= 0.42 is
valentinak56 [21]

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

5 0
3 years ago
Read 2 more answers
Please help?!’ answerr
Ugo [173]

Answer:

The choice Draw 2

Step-by-step explanation:

3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\  24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3

I hope I helped you^_^

6 0
3 years ago
On Tuesday the temperature is 1 ºC. By Wednesday it has dropped to –2 ºC. The temperature drops by twice as much from Wednesday
Finger [1]

Answer: -8^{\circ}C

Step-by-step explanation:

Given

The temperature on Tuesday is 1^{\circ}C

Temperature drops to -2^{\circ}C on Wednesday

Net drop in temperature 1-(-2)=3^{\circ}C

The temperature drops twice from Wednesday to Thursday

\Delta T=2\times 3=6^{\circ}C

Temperature on Thursday

\Rightarrow -2-6=-8^{\circ}C

3 0
2 years ago
What is the answer??
masha68 [24]
The answer is 30, assuming it is a cube, 
7 0
3 years ago
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
ElenaW [278]

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

8 0
2 years ago
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