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3 years ago

11

A motorboat travels 448 kilometers in 8 hours going upstream and 516 kilometers in 6 hours going downstream. What is the rate of

the boat in still water and what is the rate of the current?

1 answer:

EleoNora [17]3 years ago

3 0

Where are the answer choices ?

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In this triangle, the product of sin B and tan C is<br> and the product of sin Cand tan B is

Ipatiy [6.2K]

Answer:

$\frac{c}{a}$ and $\frac{b}{a}$

Step-by-step explanation:

sinB = $\frac{opposite}{hypotenuse}$ = $\frac{AC}{BC}$ = $\frac{b}{a}$

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{AC}$ = $\frac{c}{b}$

Thus

sinB tanC = $\frac{b}{a}$ × $\frac{c}{b}$ ( cancel b on numerator/ denominator )

= $\frac{c}{a}$

---------------------------------------------------------------------------

sinC = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BC}$ = $\frac{c}{a}$

tanB = $\frac{opposite}{adjacent}$ = $\frac{AC}{AB}$ = $\frac{b}{c}$

Thus

sinC tanB = $\frac{c}{a}$ × $\frac{b}{c}$ ( cancel c on numerator/ denominator )

= $\frac{b}{a}$

7 0

2 years ago

lana [24]

B I’m pretty sure I think or 826

4 0

2 years ago

write the equation of a line that is parallel to y = - 3/2 x -1 and that passes through the point (4,6)

maria [59]

Answer:

Step-by-step explanation:Given Equation of line has slope m=-3/2

So the line passing through (4,6) has the same slope because both are parallel

From slope intercept form we have

y-y1=m(x-x1)

y-6=-3/2(x-4)

y-6=-3/2x +3/2(4)

y=-3/2x+12

2y=-3x+24

3 0

3 years ago

During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las

Andrews [41]

Answer:

$3\frac {6}{25} hrs \ or \ 3 hrs\ 14 mins \ 24 sec$

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

$1\frac {4}{5} \ hrs$

-and the second lasted

$1\frac {4}{5} hrs$ times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be:

$\frac {9}{5}$

-Now multiplying

$\frac {9}{5}\times\frac{9}{5}\\\\=\frac{81}{25}=3\frac{6}{25}$ hrs

5 0

2 years ago

6x – 4y = -5<br>4x + 5y = -11

kipiarov [429]

Answer:

x= -1.5, y= -1

Step-by-step explanation:

6x= -5+4y

x= (-5+4y) / 6

4((-5+4y) / 6) + 5y = -11

4(-5+4y) + 5*6y = -11*6

-20+16y+30y= -66

16y + 30y = -66+20 = -46

y(16 + 30) = -46

y= -46 / (16 + 30)

y= -46 / 46

y= -1

x= (-5+4(-1)) / 6

x= (-5-4) / 6

x= -9 /6

x= -1.5

3 0

3 years ago