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2 years ago

8

A motorboat travels 120 miles in 4 hours going upstream. It travels 192 miles going downstream in the same amount of time. What

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

1 answer:

NemiM [27]2 years ago

4 0

Answer:316

Step-by-step explanation:

I just solved it by adding it

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−2+pn/4 when n=5 and p=2.

Gnesinka [82]

Answer:

-2+5*2= -2+10/4

You get 8/4 which is 2

Step-by-step explanation:

6 0

2 years ago

Jessii Vee is 1 5/8 gallons of paint to paint her room so he has 5/6 gallons of paint. How many more gallons of paint does she n

irakobra [83]

Answer:

3 1/2 gallons of paint

Step-by-step explanation:

1 5/8 - 5/6 = x

Turn the mixed number into an improper fraction:

1 5/8 = 13/8 = x

13/8 - 5/6 = x

make the denominator the same:

13/8 * 3 = 104/24

5/6 * 4 = 20/24

Subtract:

104/24 - 20/24 = 84/24

Simplify:

84/24 divided by 6 = 14/4

14/4 divided by 2 = 7/2

Turn into a mixed number:

3 1/2

Hope this helps!!! ~Carley

3 0

2 years ago

Which of the following is a square root of 3(cos(4pi/9)+i sin(4pi/9))

Margaret [11]

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

6 0

3 years ago

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$

The base is reducing at a rate of 3.4cm per min.

8 0

3 years ago

Which is the minimum or maximum value of the given function?

Kobotan [32]

Answer:

the minimum value of the given function is -4

4 0

2 years ago