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nataly862011 [7]
3 years ago
15

Worked a total of

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

26 for the first and 18 for the second.

Step-by-step explanation: 44-8=36. 36÷ 2=18. 18+8=26. So, you get 26 and 18 hours.

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Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
iVinArrow [24]

Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA

7 0
3 years ago
A tap running 20ml a minute. How long to a fill a litre. In minutes please
zhannawk [14.2K]

Answer:

20ml in 1 minute. 1000ml is equal to 1 litre.

Step-by-step explanation:

1000/20 = 50

. 50 minutes will take to fill a litre

6 0
2 years ago
Read 2 more answers
A softball team played 149 games. The team won 8 more than two times the number of games they lost. How many games did they lose
BlackZzzverrR [31]

The number of game the softball team lose is 47 games.

<h3 /><h3 /><h3>The softball team played 149 games. </h3>

Total games played = 149 games

The team won 8 more than two times the number of games they lost.

Let

the number of games they lost = x

Therefore,

  • number of game won = 8 + 2x

The number of game they lose can be calculated as follows:

8 + 2x + x = 149

8 + 3x = 149

3x = 149 - 8

3x = 141

x = 141 / 3

x = 47

Therefore, the team lost 47 games.

learn more on algebra here: brainly.com/question/14406047?referrer=searchResults

6 0
2 years ago
Ben and Tom each take a driving test.
GaryK [48]

Answer:

(b)0.56

(c)0.38

Step-by-step explanation:

(a)The tree diagram is attached.

P(Ben Fails)=1-0.8=0.2

P(Tom Fails)=1-0.7=0.3

(b)Probability that  both will pass their driving test.

P(both will pass)=0.8 X 0.7 =0.56

(c)Probability that  only one of them will pass their  driving test.

P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)

=(0.7 X 0.2)+(0.8 X 0.3)

=0.14+0.24

=0.38

3 0
3 years ago
6. Select all the expressions that are equivalent to 10-6. 1 a. 1000000 b. 1000000 1 C. 106 d. 108 . 10-2 6 10 e. 10 1 f. 10-10-
zhuklara [117]

N/A

Step-by-step explanation: Just pay attention Haden

7 0
3 years ago
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