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TiliK225 [7]
3 years ago
11

Two fishing boats leave a marina at the same time. One boat travels north at a speed of 12 miles per hour. The other boat heads

east at a speed of 9 miles per hour. Approximately how far apart are the two boats 15 minutes after they leave the marina?
Mathematics
2 answers:
Nikolay [14]3 years ago
5 0

Answer:

5.25 miles

Step-by-step explanation:

15 min=1/4 of hour

12/4=3

9/4=2.25

3+2.25=5.25

DochEvi [55]3 years ago
4 0

Answer:

<em>d = 4.59 miles</em>

Step-by-step explanation:

<u>Distance Between Two Points in the Plane</u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

The fishing boats leave the marina in perpendicular directions. The first boat travels north at v=12 mph for t=15 minutes. Converting to hours t=15/60=0.25 hours.

The distance covered by this boat is

d1 = 12*0.25 = 4 miles

The boat ends up at the point (0,4).

The second boat travels east at v=9  mph for the same time t=0.25 hours. The distance is:

d2= 9*0.25 = 2.25 miles

This boat ends up at the point (2.25,0)

The distance between them is

d=\sqrt{(4-0)^2+(0-2.25)^2}=\sqrt{16+5.0625}=\sqrt{21.0625}

Calculating the square root:

d = 4.59 miles

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Step-by-step explanation:

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2 years ago
A container can hold quarts of 8 3/5cooking oil. It contains 1 1/3 quarts of cooking oil. How much more cooking oil is needed to
Mamont248 [21]

Answer:

4 14/15

Step-by-step explanation:

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2 years ago
Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *​
krek1111 [17]

Here are a couple I found:

<u>Similarities</u>:

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  • They are both in slope-intercept form.

<u>Differences</u>:

  • The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
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<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

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2 years ago
8x+3y=4 <br> -7x+5y=-34 <br><br> Elimination using multiplication
irga5000 [103]

Answer:

x= 2    and y = -4

Step-by-step explanation:

8x + 3y = 4 ---------------------------------(1)

-7x + 5y = -34 -----------------------------(2)

Multiply through equation (1) by 5 and multiply through equation(2) by 3

40x + 15y = 20 ----------------------------(3)

-21x + 15y =-102----------------------------(4)

Subtract equation (4) from equation (3)

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Divide both-side of the equation by 61

61x/61 = 122/61

(At the left-hand side of the equation 61 will cancel-out 61 leaving us with just x, while at the left-hand side of the equation 122 will be divided by 61)

x = 122/61

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Substitute x= 2 into equation (1)

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4 0
3 years ago
Read 2 more answers
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storchak [24]

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

<em></em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

x = 3.2

3 0
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