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Brrunno [24]
2 years ago
13

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I

Mathematics
1 answer:
pentagon [3]2 years ago
6 0
Answer: 1h and 25min

To find how long you can drive in a minute we do 48 divided by 32 = 1.5. So it takes 1 min to drive 1.5km

Then we 146 divided by 1.5 = 97 and a third to find out how long it takes to drive 146km.

Then we convert it to hours to get 1h and 57min.

Then we - 32 because we already drove 32min. 1h and 57min - 32 = 1h and 25min
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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
Leona [35]

Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

6 0
3 years ago
One of the tables shows a proportional relationship.
IRINA_888 [86]
The 2nd option is the answer :)!
4 0
3 years ago
Read 2 more answers
Use the formula to solve the problems.
Ber [7]

Answer:

$4,309.12

Step-by-step explanation:

The computation of the interest earned is given below:

But before that the amount would be

Amount = Principal × (1 + rate of interest)^number of years

= $6,000 × (1 + 0.07)^8

= $6,000 × 1.07^8

= $10,309.12

Now the interest earned is

= Amount - principal

= $10,309.12 - $6,000

= $4,309.12

3 0
3 years ago
Can you answer this question ?
Elden [556K]

Answer:

k = -14

Step-by-step explanation:

We should cross-multiply

9/(k -  7)  =  6 / k

9*k  = 6 * (k - 7)

9k = 6k  - 42

9k - 6k = -42

3k = -42

k = -14

7 0
3 years ago
The total cost of owning a home for 6 years is $120,000. The
Agata [3.3K]

After 6 years, the difference between owning the house and renting is $12,000.

<h3>What is the difference in owing and renting the house?</h3>

The first step is to determine the total cost of renting the house for six years.

Total cost of renting the house = rent per month x number of years x number of months in a year

1500 x 12 x 6 = $108,000

Difference = cost of owning - cost of renting

$120,000 - $108,000  = $12,000

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

6 0
2 years ago
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