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Dima020 [189]
2 years ago
6

A boat traveled 150 miles downstream (with the current) and back (against the current). The trip downstream took 10 hours. The t

rip back took 30 hours. What is the speed of the boat (b) in still water? What is the speed of the current (c)?
Mathematics
1 answer:
Margarita [4]2 years ago
3 0

Answer:

b= 10 miles/hr and c= 5 miles/hr

Step-by-step explanation:

Let it's downstream and upstream speed be d and u respectively

also speed of the boat be b and speed of stream be c.

as per question d = 150/10= 15 miles/hr

and, u= 150/30= 5 miles/hr

also we know d= b+c = 15.....i and u = b-c= 5....ii

solving i and ii we get b= 10 miles/hr and c= 5 miles/hr

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Margarita traces a circle with a radius of 20 centimeters like the one shown below. She will color in the shaded region. What is
lana66690 [7]

Answer:

314 cm ^ 2

Step-by-step explanation:

First do, 3.14 x 20 ^ 2

3.14 x 20 ^ 2 = 1,256

Then do, 1,256/4

1,256/4 = 314

Why 4?

This part of the circle is 1/4 of the entire circle.

What does ^ mean?

It's just a way to say to the power of on a computer.

Hope this helps! :)

7 0
3 years ago
Help me find the surface area
lesya [120]

Step-by-step explanation:

it looks like this is a regular (right) triangular prism with 3 equal side areas and one bottom area.

the surface area of the pyramid is the sum of all 4 of these areas.

all these areas are triangles.

the area of a triangle is

baseline × height / 2

in our case

1 side area is 6×8.2/2 = 3×8.2 = 24.6 yd²

all 3 side areas together are 24.6×3 = 73.8 yd²

the bottom triangle is

6×5.2/2 = 3×5.2 = 15.6 yd²

so, the total surface area is

73.8 + 15.6 = 89.4 yd²

7 0
2 years ago
X^3+x²-36 Find all real zeros.
Harman [31]

Answer: x=3

Step-by-step explanation:

To find the zeros, you want to first factor the expression.

x³+x²-36

(x-3)(x²+4x+12)

Now that we have found the factors, we set each to 0.

x-3=0

x=3

Since x²+4x+12 cannot be factored, we can forget about this part.

Therefore, the zeros are x=3. You can check this by plugging the expression into a graphing calculator to see the zeros.

4 0
3 years ago
How do you solve the equation 5x= 1 2/3
disa [49]
I hope it helps you get it right

3 0
3 years ago
Which table does NOT represent a linear function
topjm [15]

TABLE D does NOT represent a linear function

<h2>Explanation:</h2>

The Table is shown below. Each table is a relationship between two variables, namely x and y. By plotting each table in a graphing tool we get:

TABLE A, FIRST FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{8-5}{-1-0} \\ \\ m=-3

TABLE C, SECOND FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{5-10}{-1-0} \\ \\ m=5

TABLE C, THIRD FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{1-2}{-1-0} \\ \\ m=2

TABLE D, FOURTH FIGURE:

It is not a linear function. It is likely this is a parabola that opens downward.

<h2>Learn more:</h2>

Linear function: brainly.com/question/12560127

#LearnWithBrainly

5 0
3 years ago
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