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harkovskaia [24]
4 years ago
6

7. GEOGRAPHY The discharge of a river

Mathematics
1 answer:
Rama09 [41]4 years ago
8 0

Answer:

10 m

Step-by-step explanation:

Given:

The discharge of water is equal to the product of of its width, its average depth and its speed.

Let D be discharge of water, w be its width, h be its average depth and v be its speed.

So, D=vwh

As per question,

D=3198\textrm{ }m^{3},w=533\textrm{ m},v=0.6\textrm{ }m/s

Plug in the above values and solve for h.

3198=0.6\times 533\times h\\3198=319.8h\\h=\frac{3198}{319.8}=10\textrm{ m}

Therefore, the average depth of the Mississippi river is 10 m.

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3 years ago
16. a) In the given figure, OB bisects ABC and OC bisects ACB, prove that BOC - BAC = ABO+ACO.​
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Answer:

Points ABC and points OBC form two separate triangles. Triangle ABC is made up of angles BAC, ABC, ACB, while triangle OBC is made up of angles BOC, OBC, OCB. Since interior angles of triangles add up to 180 degrees, m<BAC + m<ABC + m<ACB = 180 and m<BOC + m<OBC + m<OCB = 180. 180 is equal to 180, so m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB.

Since OB bisects <ABC and OC bisects <ACB, m<ABO = m<OBC and m<ACO = m<OCB. We can also say that m<ABC = 2m<ABO and m<ACB = 2m<ACO. Substitute and simplify the equation.

m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB

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m<ABO + m<ACO = m<BOC - m<BAC

4 0
2 years ago
Explain how you would find the length of each segment of this bar. The total length of the bar is 26 inches and each of the segm
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