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ss7ja [257]
2 years ago
9

A boat operates under its motor and 10 m/s and is headed downstream. If the river flows downstream at 2m/s, what is the resultan

t velocity of the boat?

Mathematics
2 answers:
Simora [160]2 years ago
8 0

Answer:

The resultant velocity will be 12m/s

Step-by-step explanation:

If the river flows downstream at 2m/s and also the boat is heading downstream at 10m/s. You can add the two velocities to get the resultant velocity:

Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.

Lemur [1.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

To calculate magnitude:

Given\\x=10m/s\\y=2m/s\\C=\sqrt{10^2+2^2} =\sqrt{100+4} =\sqrt{104} =10.19

To calculate angle:

tan^-^1(2/10)=11.30

So the resultant velocity of boat is

10.19 m/s at 11.30^0

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Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.
olganol [36]

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = \frac{1.4}{100} x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

6 0
2 years ago
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of
AfilCa [17]

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

5 0
2 years ago
Read 2 more answers
In the diagram of circle O, what is the measure of abc? 34° 45° 68° 73°
Lady_Fox [76]

Answer:

A. m\angle ABC=34^{\circ}

Step-by-step explanation:

We have been given a diagram. We are asked to find the measure of angle ABC.

First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.

\text{Measure of arc AC}=360^{\circ}-146^{\circ}

\text{Measure of arc AC}=214^{\circ}

Now, we will use tangent-tangent angle theorem to solve for ABC.

Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.

m\angle ABC=\frac{214^{\circ}-146^{\circ}}{2}

m\angle ABC=\frac{68^{\circ}}{2}

m\angle ABC=34^{\circ}

Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.

5 0
2 years ago
Read 2 more answers
A salesperson receives step commission on sales calculated as follows:
kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0
2 years ago
The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
2 years ago
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