A boat traveled at a constant speed for six hours, covering a total distance of 58.5 km. To the nearest 10th of a kilometer per hour, how fast was it going?

Answer:

the correct answer is 37°

Step-by-step explanation:

just simple geometry haha

Answer:

37

Step-by-step explanation:

( x + 71 ) and 108 are vertically opposite angles.

Vertically opposite angles are equal.

x + 71 = 108

x = 108 - 71

x = 37

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]

On comparing real and Imaginary parts, we get

[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]

and

[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]

[tex]\rm \:  =  \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]

[tex]\rm \:  =  \: 4{x}^{2} - {4y}^{2}[/tex]

[tex]\rm \:  =  \: 4({x}^{2} - {y}^{2})[/tex]

Hence, Proved

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

Answer:

I'm not sure I understand but if you want more math to do look up Quizlet and do some of those tests

Answer:

So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.

Then, I divided 50.5 by 9 since that is how many number sections there are.

Therefore, I get 5.61.

Answer:

£33

Step-by-step explanation:

A 10% increase is the same as multiplying a value by 1.1.

30 * 1.1 = 33

Answer:

10 x 30 /100 = 3 so 30 +3 = 33

Answer:

thanks for your points and the time

Answer:

I think it's angle 10

Step-by-step explanation:

I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.

I hope this helps

Answer:

49 minutes

Step-by-step explanation:

7: 43

8: 32

17 minutes 'till 8:00

Another 32 'till 8:32

so add 17+32

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

Answer:

$2511.674254, rounded to $2512

Step-by-step explanation:

1700x1.05^8

Answer:

A

Step-by-step explanation:

With way one, we can easily count the tally marks, but with way 2 it becomes much harder for us to count the tallies when we are done.

Answer:

a

Step-by-step explanation:

its easy to count way 1 but way 2 is harder to count

Answer:

i dont know the answer sorry

Step-by-step explanation:

Step-by-step explanation:

slope =3/2

that is the answer

Answer:

13 days

Step-by-step explanation:

Amount of book left = 100% - 35% = 65%

If 35% requires 7 days,

65% requires x days.

Using the 'cross the heart' or 'cross multiplication' method:

35x = 7 * 65

x = (7 * 65)/35

= 455/35

= 13

Hence, it would take 13 more days to complete the book.

Hope this helps and be sure to have a great time ahead at Brainly! :D

The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31

Given:

cost of two books = $4.99 + $12.99

= $17.98

Amount paid for books = $17.98 - 10% of $17.98

= 17.98 - 0.1 × 17.98

= 17.98 - 1.798

= $16.182

Cost of notebooks = quantity × price

= 2 × $2.88

= $5.76

cost of composition books = quantity × price

= 3 × $0.79

= $2.37

cost of pencil packs = quantity × price

= 2 × $1.89

= $3.78

Total cost = $5.76 + $2.37 + $3.78

= $11.91

Amount paid for school supplies = $11.91 - 15% of $11.91

= 11.91 - 0.15 × 11.91

= 11.91 - 1.7865

= $10.1235

Therefore,

total cost of all items Gina bought = $16.182 + $10.1235

= $26.3055

Approximately, $26.31

Read more:

https://brainly.com/question/19535437

Answer:

The slope of Function A is less than the slope of Function B.

Step-by-step explanation:

Using the slope formula:

m = (y2 - y1)/(x2 - x1)

and the following ordered pairs from Function A:

(x1, y1) = (-5, -3)

(x2, y2) = (-10, -8)

m = (y2 - y1)/(x2 - x1)

[tex]m = \frac{-8 - (-3)}{-10 - (-5)} = \frac{-8 +3}{-10+5} = \frac{-5}{-5} = 1[/tex]

Since Function A's slope = 1, and Function B's slope = 4, then it means that the slope of Function A is lesser than the slope of Function B.

Answer:

Dana paid $45.60 in total.

Step-by-step explanation:

20% of 38 is 7.60. Add this to the total price of $38. (38+7.60=$45.60)

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

Answer:

y=1,425-×3

Step-by-step explanation:

the x has to be divided by the 1/3

Answer:

P= 6

Step-by-step explanation:

6P=-6+7P

6P-7P=-6

-P=-6 -------divide both side by negative

P=6 you get

The polygon is 5 units in length and not 4

so using the given formula P = 2l + 2w

(2 x 5) + (2 x 3)

10 + 6

= 16 units

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

To solve this question you need to know some properties of a parallelogram which is the shape given.

Firstly, remember that in a parallelogram opposite angles are equal.

Secondly, remember that the diagonals of a parallelogram bisect each other.

Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.

So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.

Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].

Let's name [tex]<[/tex]SPQ, [tex]y[/tex].

and That gives:

[tex]2y+140=360[/tex]

Subtract 140 from both sides:

[tex]2y=360-140[/tex]

[tex]2y=220[/tex]

[tex]y=\frac{220}{2}[/tex]

[tex]y=110[/tex]

So, [tex]<[/tex]SPQ=110 and

Now using the second property we can find that:

[tex]<[/tex]SPQ=[tex]2x[/tex]

And [tex]2x=110[/tex]

[tex]x=\frac{110}{2}[/tex]

[tex]x=55[/tex]

Hope this helped.

Answer:

1 / 12

Step-by-step explanation:

one hour = 60 minutes

so

5 / 60

= 1 / 12

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

There are 60 minutes in 1 hour , then 5 minutes as a fraction of an hour is

[tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] ← in simplest form