a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel
The train will take 16 seconds to pass completely through a 300 meter tunnel.
Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:
[tex]t = \frac{L+l}{v}[/tex] (1)
Where [tex]v[/tex] is the train velocity, in meters per second.
If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:
[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]
[tex]t = 16\,s[/tex]
The train will take 16 seconds to pass completely through a 300 meter tunnel.
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what number set does -7 belong to
Answer:
Integers
Step-by-step explanation:
Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.
Put these numbers in order from least to greatest.-12/40 -5 19/38
this is the answer: -5 < -12/40 < 19/38
Pls explain how to solve it! (Will mark brainylist)
Answer:
1,1
Step-by-step explanation:
x=1
y=1
if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1
add 30 to both sides to get 35y-4y=31
subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6
7x1 is 7 so then 7-6=1 and that gives us x=1.
Hope this helped
0.41g -2) + 1.2 =-(g-1) + 2.9
Answer:
g=-3repeated
Step-by-step explanation:
plz help ppl keep putting links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Can you explain how you got the answe
Answer:
3
Step-by-step explanation:
she put 4 stickers on each car
Someone please help it’s due today in like 30 min I will give brainliest
Answer:
First pic X= 13.036
Second pic x= 11.23
Step-by-step explanation:
Pls help right answer gets brainliest
Answer:
x=3/2
Step-by-step explanation:
.D .I
9x 7x+3
.C .E .H .J
7x+3=9x
-7x -7x
-------------
3=2x
-- --
2 2
x=3/2
Check
9(3/2)=13.5
7(3/2)+3=13.5
what is 5 7/20 written as a decamal
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
what is 90 degrees plus 39 degrees plus 7x+16
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
Find out more on proportions at https://brainly.com/question/11570843.
Which substances will make a salt when combined?
Question 6 options:
Vinegar and soda
Soda and wine
Detergent and ammonia
Fertilizer and vinegar
A.Vinegar and soda
-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.
-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,
y=6x-17 -12x+2y = -34 ??
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Stay safe!
Study hard!
I need help anyone please help.
Answer:
1/4 or 1/2 good luck my guy
Step-by-step explanation:
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
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Answer:
a
Step-by-step explanation:
SOLVE FOR ASA
-GEOMETRY
Step-by-step explanation:
Hope It Helps You
Here You Answer
Kindly help out with this question!
Step-by-step explanation:
33+22+90=145
180-145=35
x=180-35
x=145
Can you please help me find number for D
Step-by-step explanation:
the slope of the line between the first 2 points must be the same as the slope between the second and the third point.
the slope is y difference / x difference.
so,
b/a = d/c
-3/1.6 = d/1.5
d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125
I need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.
(a) How many calories is Pablo burning per minute?
(b) what is the slope of the graph?
Answer:
1. 5 calories per minute
2.1/2 is your slope.
Step-by-step explanation:
See the picture first, thank you.
QUESTIONS::
1. Does each graph represent a linear function? Why?
2. What is the domain of the first graph? second graph?
3. What is the range of the first graph? second graph?
Answer:
1. yes, both lines are straight
2. domain: (-∞ ∞)
3. range: (-∞ ∞)
Have students write the answer to the Essential Question and draw examples to explain their answer
Question 14 (5 points)
image
Which of the following is a true statement about the rhombus shown?
Question 14 options:
A)
≅
B)
m∠SPQ = 90°
C)
m∠STP = 90°
D)
≅
Question 15 (5 points)
image
Determine the value of x.
Question 15 options:
A)
x = 90°
B)
x = 45°
C)
x = 20°
D)
x = 4.5°
Answer:
14) C
15) D, because 90:20=4.5
Help a girl out pls!!!
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow
Answer:
x= -3/5
Step-by-step explanation:
-12>= -2x-15
add 15 to both sides 3>= -2xdivide by -23/-2=xKrista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width
Answer:
86.5 inches
Step-by-step explanation:
6228 / 72 = 86.5
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
Learn more about distance, time and speed here:
https://brainly.com/question/12199398
Welcome to Gboard clipboard, any text you copy will be saved here.
Answer:
yooo i got the new rank im now expert :0
Step-by-step explanation:
XD
A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?
Using complex numbers and radicals, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
Hence, since 8i is a root of the function, -8i is also a root.The same is valid for radicals, as they are in the [tex]\pm[/tex] format.
Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.Hence, option C is correct.
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PLEASEEE HURRY. Please I really need this please
Answer:
answer is
Step-by-step explanation:
Answer:
final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)
Step-by-step explanation:
Original: ABC, A (2,-1), B (1,4) and C (-2,2)
translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)
reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)
rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)