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3 years ago

A high-speed train passes through a 5.4 km long tunnel completely in 1 minute 7.68 seconds.

Mathematics

1 answer:

xenn [34]3 years ago

3 0

Answer:

Step-by-step explanation:

Speed time= distance

Change in/h into m/s by multiplyingby 5/18

=300×5/18=83.33

Time in sec=(1×60)+7.68=67.68

83.33×67.68=5640m

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Hey guys, can you help me please

KatRina [158]

<h3>Answer: 93.382 square cm</h3>

=========================================================

Work Shown:

The green triangle in the back has height 2.6 and an unknown base x. Half of this is x/2, which I'll call y. So y = x/2.

The green triangle in the back is split along the vertical dotted line to get two right triangles. The base of each right triangle is y = x/2.

Use the Pythagorean theorem to find y. Use that to find x

a^2+b^2 = c^2

y^2+(2.6)^2 = (3.2)^2

y^2 + 6.76 = 10.24

y^2 = 10.24 - 6.76

y^2 = 3.48

y = sqrt(3.48) .... apply square root

y = 1.8654758 approximately

x/2 = 1.8654758

x = 2*1.8654758

x = 3.7309516 also approximate

The base of the triangle is roughly 3.7309516 meters

We can now find the area of one green triangle

area of triangle = base*height/2 = 3.7309516*2.6/2 = 4.85023708

two triangles have approximate area 2*(4.85023708) = 9.70047416

----------------------------------

So far we've only considered the triangular faces. There are 3 more faces which are the rectangular sides. These are known as the lateral sides.

One way to get the lateral surface area is to multiply the perimeter of the triangle by the depth of the prism

perimeter of triangle = (side1)+(side2)+(side3)

perimeter = 3.7309516 + 3.2 + 3.2

perimeter = 10.1309516

lateral surface area = (depth)*(perimeter)

lateral surface area = (8.26)*(10.1309516)

lateral surface area = 83.681660216

----------------------------------

The last step is to add this lateral surface area onto the area of the two triangles to get the full surface area

surface area = (triangular area) + (lateral surface area)

surface area = (9.70047416) + (83.681660216)

surface area = 93.382134376

surface area = 93.382 square cm

3 0

3 years ago

Read 2 more answers

The table shows the width and length of different pictures that Coby has enlarged for the school yearbook: Enlarged Pictures Wid

Savatey [412]

Answer:

42 inches

Step-by-step explanation:

Im guessing that the the table looks like this:

Width Length

3 7

6 14

9 21

So we can see the numbers on the right are increasing by 3 and the numbers on the left are increasing by 7.

The width is 3 times some number, and the length is 7 times the same number.

So if the width was 18 then we know the number would be 3 because 3 * 6 = 18

If that number is 6, then the length will be 6 * 7 = 42

So the length is 42 inches

7 0

3 years ago

Read 2 more answers

Justin launches a rocket straight up into the air. The table below gives the height(t) of the rocket (in meters) at a few times

Papessa [141]

Using it's formula, the average rates of change are given as follows:

a) 30 meters per second.

b) -10 meters per second.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

$r = \frac{f(b) - f(a)}{b - a}$

For item a, taking the data from the table, we have that:

f(0) = 0.

f(4.6) = 138.

Hence the rate is given as follows:

r = (138 - 0)/(4.6 - 0) = 30 meters per second.

For item b, taking the data from the table, we have that:

f(9.2) = 23.

f(11.5) = 0.

Hence the rate is given as follows:

r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

3 0

1 year ago

El precio de cada acción de una empresa de tecnología ha presentado a través del tiempo un comportamiento dado por la siguiente

Rainbow [258]

I will ask you to turn it in english instead of española.

6 0

3 years ago

You and your friend rent a canoe. The canoe costs 10 dollars per half hour plus 5 dollars per day for each life vest. Life vests

REY [17]

The greatest range....the range is ur y value, it will be the total cost...the x is gonna be the number of 1/2 hrs. And the 5 per life vest has to be multiplied by 2 because there is 2 people, making it 10
y = 10x + 10

the greatest range will be when u rent the canoe for the longest.
8 a.m to 6 p.m......thats 10 hrs....20 half hrs...so the greatest range is when u rent the canoe for 20 half hrs.

y = 10(20) + 10
y = 200 + 10
y = 210 <=== the greatest range

3 0

3 years ago