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3 years ago

A train travels at a constant speed of 24

Mathematics

2 answers:

guapka [62]3 years ago

4 0

Answer:

$d=24h$

Step-by-step explanation:

The table is

h d

1 24

2 48

3 72

4 96

This relation can be presented as the following linear equation

$d=24h$

Because, the distance is defined as the product between the speed and the time. Also, we obtain this relation, by finding the slope of the given vales

$m=\frac{96-24}{4-1}=\frac{72}{3}=24$

Then, using one point, the slope and the point-slope formula, we have

$y-y_{1}=m(x-x_{1})\\y-24=24(x-1)\\y=24x-24+24\\y=24x$

Where $y=d$ and $x=h$ .

Therefore, the expression that models this situation is

$d=24h$

Masja [62]3 years ago

3 0

Answer:

Step-by-step explanation:

d = 24 x h

since d is the distance in order to get that we need to multiply the speed times time and get the answer

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Can someone help please!

slava [35]

Answer: Area of the dotted line square is 120ft^2 and area of figure a. is 60 ft^2

Step-by-step explanation:

So the area of the dotted square/rectangle is 120 because we can take the entire length and width which is 10ft and 12 ft and multiply to find the area

Now the weird looking shape can be a little tricky but we have to remember that it is alot easier to solve for area of separate shapes. So if you look at the side of the 5ft and look all the way down we can see this figure makes both a rectangle and a triangle. The rectangle has a length of 10 and width of 4 so the area of that is 40ft^2. Now for the triangle. To find the base and height lengths 12-4 from the width of the rectangle which is 8 and 10-5 from height of the triangle so 5. Area of triangles is b*h/2 so 8*5/2= 20ft^2. So 40ft^2(rectangle)+20ft^2(triangle) is 60ft^2 area of figure a.

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3 years ago

How can a cyclist minimize friction as he or she rides?

expeople1 [14]

Pretty sure it’s B I think

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3 years ago

2/3 of the product of 3/8 and 16

hjlf

3/8 of 16 = (16 / 8) x 3
= 2 x 3
= 6

2/3 of 6 = (6 / 3) x 2
= 2 x 2
= 4

4 0

3 years ago

Read 2 more answers

The tape diagram represents an equation.

Orlov [11]

Answer:

t = 4

Step-by-step explanation:

13 + t = 17

t = 4

13 + 4 = 17

An easier way to solve a question like this is to subtract the number given by the answer.

Example:

17 - 13 = 4

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3 years ago

Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th

Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0

3 years ago