Step-by-step explanation:
12360 is the answer to the problem
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
can anyone help me ?
Answer:
d
Step-by-step explanation:
The sum of the angles of a triangle is ALWAYS 180 degrees.
Find x
A: 11.2
B: 13.1
C: 9.2
D: 22.9
Hi there!
[tex] \large{tan35\degree = \frac{x}{16} }[/tex]
We can also use the other angle but I will focus on 35°.
The reason why we use the equation above because tan is equivalent to opposite/adjacent
From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.
Define theta = 35°. Thus, the equation would be tan35° = x/16.
Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)
[tex] \large{0.7 = \frac{x}{16} }[/tex]
Then solve the equation for x-term.
[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]
Hence, the value of x is 11.2
Answer
11.2Questions about the problem be asked through comment.
Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.
Hope this helps, and Happy Learning! :)
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)
c=
Answer:
120 broAB ayi dónde es 120 desde A asta B
Find the length of the slide board. Round your answer to the nearest tenth place.
Answer:
22.8
Step-by-step explanation:
(18²+14²)½
= 22.8
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?
Answer:
18/4
Step-by-step explanation:
If y varies directly as x then the equation is y = kx
If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4
The value of y when x = 18 is,
y = k *&x
= (1/4) * 18
= 18/4
then the equation is y = 18/4
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
Connie is 4 years younger than Max. Max is twice as old as Tom. If Tom is t years old, how old is Connie in terms of t?
Answer:
8t
Step-by-step explanation:
c = 4m
m = 2t
c = 4(2t) = 8t
Answer:
2t-4
Step-by-step explanation:
Tom: t.
Max is twice as old as Tom - 2t.
Connie is 4 years younger than Max - 2t-4.
So, Connie is 2t-4 years.
Please mark me as brainliest if you like the answer! :)
The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.
Answer: 99.7%
Step-by-step explanation:
A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.
In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.
The question was not clear for me! Help :(
Answer:
0.1 , 0.2 , 0.05
Step-by-step explanation:
*each column adds to 1*
20 x 1/2 = 10
1/2 x 20 x 0.1 = 1
top left box = 0.1
; 5 x 2 x 0.1 = 1
1/2 x 10 = 5
; 0.2 x 1/2 x 10 = 1
bottom middle box = 0.2
; 5 x 1 x 0.2 = 1
; 2 x 10 x 0.05 = 1
middle right box = 0.05
; 20 x 1 x 0.05
SOMEONE!!!
QUESTION: What is the measure of each angle in a regular polygon with 6 sides?
Answer:
polygon do all the number times each outher divided in half then times 6 for the hight and langht
Step-by-step explanation:
The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
A line is the locus of points that:
students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for the 4 students tickets if the regular cost per ticket is $6.00.
options- $21.60, $26.40, $6.60, or $5.40
Answer:
$21.60
Step-by-step explanation:
Answer:
Answer is $ 21. 60
Step-by-step explanation:
$22 or 21.60 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.60
you can also round this off and get the answer as $ 22 .
Hope this answer helps you :)
Have a great day
Mark brainliest
ill give brainliest to the correct answer
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
Find the Missing Angle!!!!
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
The school has two separate buildings, one is shaped
like a triangle and the other a rhombus. The base of
the triangle is 100 meters and the height is 150
meters, what is the area? The rhombus is a kite shape
with one diagonal 50 meters and the other 40 meters,
what is the area?
Answer:
250 = triangle
90 = rhombus
(i think, its all i know)
Step-by-step explanation:
just use 1/2 x b x h for triangles
and A = l x w for rectangles
What is the median of this data set?
{3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15}
Answer:
Hi, there your answer is 9.5
Median=10
9 + 10 = 19
19 ÷ 2 = 9.5
Step-by-step explanation:
Sorry my bad I forgot to add and divide
Answer:
The median would be 9.5
Step-by-step explanation:
To find our answer we will first put them in numerical order:
3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15
Now that we have the numbers in order, we will find the middle numbers. Since the middle numbers are 9 and 10, we will add them both and divide them by 2.
9 + 10 = 19
19 ÷ 2 = 9.5
Therefore 9.5 is our answer!
1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?
7%
What is 3^5 as a product of the same factor?
Answer:
9
Step-by-step explanation:
what is the area of a triangle with base 18cm and height 4cm
Answer: The area of the triangle would be “36cm^2”
Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.
Have a nice day!
Answer:
Area=36
Step-by-step explanation:
18x4=72
72/2=36