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Vitek1552 [10]
3 years ago
8

A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the boat turns around and returns with the cur

rent. What still-water speed should the captain use to complete the tour in 5 hours?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
Speed= distance/time, speed =60/5, speed=12. because the river is travelling with a current of 5mph which takes 5mph off the speed, so the still water speed = 12+5 =17mph
Speed=17 mph
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Answer:    The answer is either letter A or letter C

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

5 0
3 years ago
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Tpy6a [65]

Given:

\angle a and \angle b are complementary angles.

\angle a=32^\circ

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The measure of \angle b.

Solution:

According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.

It is given that, \angle a and \angle b are complementary angles. So,

\angle a+\angle b=90^\circ

32^\circ+\angle b=90^\circ

\angle b=90^\circ-32^\circ

\angle b=58^\circ

Therefore, the measure of \angle b is 58°.

3 0
3 years ago
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