A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?

Answers

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The woman will land on the east bank of the river at a downstream of 37.5 miles.

What is meant by relative velocity ?

Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.

Here,

Width of the river, W = 60 miles

Velocity of the boat in still water, Vb = 2 mph

Velocity of river, Vr = 5 mph

Relative velocity of the boat with respect to river in downstream,

Vbr = Vb + Vr

Vbr = 8 mph

Drift of the boat, d = Vr W/Vbr

d = 5 x 60/8

d = 37.5 miles downstream

Hence,

The woman will land on the east bank of the river at a downstream of 37.5 miles.

To learn more about relative velocity, click:

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The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

*See attachment for the diagram

Answer:

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Step-by-step explanation:

Area of a rectangle = Length × Width

The width of the shaded rectangle = ½ of 1 = ½ unit

Length of the shaded rectangle = 3 units

Therefore,

Area of the shaded rectangle = 3 × ½ = 1.5 units²

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Step-by-step explanation:

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Answers

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

7% of $3.80 = 0.266

Tax = 0.266

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Calculate the distance d using the distance formula

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

18 months loan and with a 4.75% annual simple interest rate

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

A

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Answer:

x is 5 cm as the entire base is 10 cm, so 10/2 = 5

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Answers

Answer:

I believe your answer would be C. square root of 67

Step-by-step explanation:

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A restaurant wants to study how well its salads sell. The circle graph shows
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Answers

Answer:

20 total salads

Step-by-step explanation:

If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.

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The unit price would be $5 per pizza

Answer:

The unit price would be $5 per pizza

Step-by-step explanation:

At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year

Answers

Answer:

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Step-by-step explanation:

From the question we are told that

1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]

2nd year sales:[tex]S_2=18.1\%[/tex]

Rocky road sales doubled

Banana sales increased by 50%

Pumpkin sales increased by 20%

Rocky road ice cream had one less percent then banana

Let

Banana =x

Pumpkin=y

Rocky road ice cream=z

Generally the first year equation is given mathematically as

[tex]x+y+z=13......(1)[/tex]

Generally the second year equation is given mathematically as

100% increase in Rocky road ice cream sales()z i.e double

[tex]2*z=2z[/tex]

50% increase in banana ice cream sales()x

[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]

20% increase in pumpkin(y)

[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]

Therefore second year equation is given as

[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]

Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as

[tex]1.5x-2z=1........(3)[/tex]

Therefore combining the three equations

x+y+z=13

1.5x+1.27y+2z=18.1

1.5x-2z=1

matrix form

[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]

Generally the determinant of the first three columns

[tex]\triangle=1.8[/tex]

Solving with Crammers Rule by solving Determinant when;

Column 4 replace column 1

[tex]\triangle_1=5.8[/tex]

Column 4 replace column 2

[tex]\triangle_2=14.15[/tex]

Column 4 replace column 3

[tex]\triangle_3=3.4[/tex]

Therefore x is given my

[tex]x=\frac{\triangle_1}{\triangle}[/tex]

[tex]x=\frac{5.8}{1.8}[/tex]

[tex]x=3.22[/tex]

Therefore y is given my

[tex]y=\frac{\triangle_2}{\triangle}[/tex]

[tex]y=\frac{14.15}{1.8}[/tex]

[tex]y=7.86[/tex]

Therefore z is given my

[tex]z=\frac{\triangle_3}{\triangle}[/tex]

[tex]z=\frac{3.4}{1.8}[/tex]

[tex]z=1.89[/tex]

Therefore

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Please help I need to pass this

Answers

Answer:

153 units²

Step-by-step explanation:

Area of a Parallelogram: L x W (same as a rectangle)

L x W = A

17 x 9 = A

A = 153

Find two consecutive even integers who's sum is 34.

Answers

Answer:

Step-by-step explanation:

Let the smaller integer be x

x+x+2 =34

2x+2=34

2x=32

x=16

Smaller even integer = 16

Larger even integer = 16+2 = 18

Answer = 16,18

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