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artcher [175]
3 years ago
12

The speed of a stream is 4km/h. A boat travels 6 km upstream in the time it takes to travel 12 km downstream. What is the speed

of the boat in still water
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
<span>6 km × 1 hour/(b-4 km) = 12 km × (1 hour/(b+4 km) 

6/(b-4) hours = 12/(b+4) hours

6(b+4) = 12(b-4)

6b + 24 = 12b - 48
72 = 6b
b = 12 
The boat's speed in still water is 12 km/hour.</span>
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Triangle ABD is i<span>nscribed in circle and </span>has hypotenuse as circle's diameter so angle ABD must be 90°

Since it is parallelogram, ∠ABD = ∠BDC = 90° and it is given that ∠ADB = 30°

So we have ∠CDO = ∠CDB + ∠ADB = 30° + 90° = 120°

Final answers: ∠CDO = 120° and ∠ABD = 90°
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Pavel [41]

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Step-by-step explanation:

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kumpel [21]
<h3>Answer:  b = 17</h3>

====================================================

Explanation:

The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.

We'll plug these x and y values into the equation and solve for b.

y = -3x+b

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The equation y = -3x+b turns into y = -3x+17

8 0
2 years ago
the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi
Natali5045456 [20]

Answer:

\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup  }}

<h3><u>Related</u><u> </u><u>Infor</u><u>mation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

• The sum of n terms of an AP is

\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}

• nth term of an AP is given by ,

\boxed{\blue{\sf T_n = a+(n-1)d }}

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2 years ago
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