Answer:
1 : 4
Step-by-step explanation:
[tex]Pressure = \frac{F}{A}[/tex]
[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 20}[/tex]
[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]
[tex]=\frac{F}{20 \times 10 \times 5}[/tex]
[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex] [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]
Therefore ,
[tex]P_1 : P_2 = 1 : 4[/tex]
The dimensions of the brick are :
20 cm10 cm5 cmSolution :[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]
The largest surface area would be : -
[tex]➢ \: \: 20 \times 10[/tex]
[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]
(product of two greater sides)
pressure applied by greatest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.02} [/tex]
[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]
[tex]➢ \: \: 1000 \: \: pascals[/tex]
The smallest surface area would be : -
[tex]➢ \: \: 10 \times 5[/tex]
[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]
[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]
(product of two Smaller sides)
pressure applied by smallest surface area of brick :
[tex]➢ \: \: \dfrac{20}{0.005} [/tex]
[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]
[tex]➢ \: \: 4000 \: \: pascals[/tex]
Let's find the ratio :
[tex]➢ \: \: \dfrac{1000}{4000} [/tex]
[tex]➢ \: \: \dfrac{1}{4} [/tex]
[tex]➢ \: \: 1 : 4[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
What is 16/5 inches by 10/4 inches in area
Answer: 8
Step-by-step explanation:
16/5 x 10/4 = 8
Answer:
Area = 8 inches
Step-by-step explanation:
[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]
Find the volume of each shape, please and I will give you a lot of points
Step-by-step explanation:
1.V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18×16=288
3.V=LWH L is the length, W is the width and H is the height
10×14×5=700
please can you help me thanks
Answer:
Step-by-step explanation:
mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.
to find median arrange the data from ascending to descending order.
Data = 1,2,3,4,5,7,7,7,8,8
median = N + 1/2 (N means no of data )
=10 + 1/2
=11/2
=5.5
= 5th term + 6th term/2
=5+7/2
=12/2
=6
mean = sum of data / no of data
=3+7+2+4+7+5+7+1+8+8/10
=52/10
=5.2
range = largest value - smallest value
=8 - 1
=7
Write an algebraic equation to represent the following problem:
Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?
PLS I NEED THIS!! I'll give brainiest if correct!!!!!!
Answer:
$47.60
Step-by-step explanation:
[tex]18+\frac{148}{5} =47.60[/tex] ($)
can you please please help me.
Answer:
yes
Step-by-step explanation:
yes
Answer:
[tex]x=22\text{ and } y=123[/tex]
Step-by-step explanation:
By definition, the interior angles of a triangle must sum to 180°. Therefore:
[tex](2x+13)+(57)+(3x)=180[/tex]
Combine like terms:
[tex]5x+70=180[/tex]
Subtract 70 from both sides:
[tex]5x=110[/tex]
And divide both sides by five. Hence:
[tex]x=22[/tex]
Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:
[tex]y+57=180[/tex]
So:
[tex]y=123[/tex]
Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:
[tex]y=(2x+13)+(3x)[/tex]
Since we've determined that x = 22:
[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]
We acquire the same answer.
3. Điền tiếp vào dãy số:
a. 0; 1; 4 ;9 ;16 ;25 ;36 ;49 ; …
b. 1; 1; 3; 15; 105; …
c. 0; 100; 6; 94; 12; 88; 18; 82; …….; ……
d. 72496 đối với 1315 62134 đối với 97
85316 đối với 167 28439 đối với ……
Answer:
D hope this kinda helped:)
Step-by-step explanation:
Can someone pls help me!
Answer: y =2x-5
Work:
2x-y=5
-y=-2x+5
-1y/-1 = -2x+5/-1
y =2x-5
‼️‼️‼️‼️HELPP‼️‼️‼️‼️
Answer:
I can't see the small numbers.post it again
Step-by-step explanation:
Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.
How many pieces can he cut?
Ignore the answer I put
Answer:
80
Step-by-step explanation:
Given that :
Length of rope = 16 m
Length per Piece of rope to cut = 0.2 m
The number of pieces of rope that can be cut :
Length of rope / length per piece of rope
16 / 0.2
= 80
Hence, 80 pieces of 0.2 m rope will be cut
Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
[tex]h = 2r[/tex]
Cone B
R = 2r
[tex]h=r[/tex]
The volume of a cone is
[tex]V = \frac{1}{3}\pi r^2h[/tex]
For cone A, we have:
[tex]V = \frac{1}{3}\pi r^2*2r[/tex]
[tex]V_A = \frac{2}{3}\pi r^3[/tex]
For cone B, we have:
[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]
[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]
[tex]V_B = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]
Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]
[tex]V_B = 2 * V_A[/tex]
Make VA the subject
[tex]V_A = \frac{1}{2}V_B[/tex]
Hence, I agree with Ahmad
classify the expression: 5x-4
An angle that measures between 90 and 180° is called?
Answer:
Obtuse AngleStep-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
I need help understanding these it’s my school work
Answer:
I believe that
1) Isosceles, acute
3) Scalene, obtuse
5) Isosceles, right
7) Equilateral, acute
Step-by-step explanation:
This should help in the future. :)
3x+25=7x URGNET urgenttt
Answer:
6.25
Step-by-step explanation:
3x+25=7x
3x-7x=-25
-4x=-25
x=6.25
3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989
Answer:
311.104
010.989
Step-by-step explanation:
Please solve with explanation
Answer:
The amount of wood left is 36 9/16 in
Step-by-step explanation:
Here, we want to get the amount of wood left
To calculate this, we have to subtract what is cut and what is wasted from the original total length
So we have what is left as follows;
45 1/2 - 8 7/8 - 1/16
45 1/2 = 91/2
8 7/8 = 71/8
91/2 - 71/8 - 1/16
(728 - 142 - 1)/16
585/16 = 36 9/16 in
An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.
Answer:
Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.
so 96/120
48/60
24/30
12/15
so the answer is 12/15
Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: 7.142857142857143
Step-by-step explanation: all you have to do is divide 28.5 by 3.99
The cost per ounce of shampoo is 7.15 ounce.
Assume that the cost per ounce of shampoo is ${x}.
Total cost of bottle of a dog shampoo is $3.99.
Amount of shampoo in the bottle is 28.5 ounces.
So, we can write the cost per ounce of shampoo as
x = 28.5/3.99
x = 7.15 ounce
The cost per ounce of shampoo is 7.15 ounce.
To solve more questions on division, visit the link below-
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Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?
Can someone help me? It's urgent and thank you!
Answer:
480,700
Step-by-step explanation:
C(25,7)
25!/(7!*(25-7)!)
15511210043330985984000000/(6402373705728000*5040)
480700
I need a answer asapppppppp
Answer:
0.97
Step-by-step explanation:
in this case the number 1 signifies 100 percent hence
1-0.03=0.97
:))) enjoy your day
The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .
Find the perimeter of the figure below, in inches.
Answer:
The perimeter of the figure is 114.6
Step-by-step explanation:
If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.
Answer:
114.6
Step-by-step explanation:
just add all the sides together
Enter an equation in point-slope form for the line. (4, 4) and (-9, 4) is on the line..
Answer:
y=4
Step-by-step explanation:
it's a straight line on y=4
I don't really understand it's due soon can someone please help me
Answer:
60
Step-by-step explanation:
Given: 1/2a + 2/3b =50
(Since b is equal to 30 we will automatically replace b with 30)
Step 1: Simplify both sides of the equation.
1/2a+20=50
Step 2: Subtract 20 from both sides.
1/2a=50-20
1/2a=30
Step 3: Multiply both sides by 2.
2(1/2a) 2(30)
a=60
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Answer:
a = 15
Step-by-step explanation:
1/2(a) + (2/3 x 30) = 50
2/3 x 30 = 20
1/2(a) + 20 = 50
Rearrange > 20 to -20
-20 + 50 = 30
1/2(a) = 30
Rearrange 1/2 to 2
2 > 30/2
30/2 = 15
a = 15
Hope this helps, and please let me know if it is correct or isn't.
Have a nice day
Please help ASAP!!!
A rectangle is formed by placing two identical squares side by side. the area of the rectangle is 892 cm2. What is the perimeter of the square?
Answer:
288 cm^2
Step-by-step explanation:
If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.
We divide 72 by 6 to find sidelength, and get 12.
We square 12 to find the area of a square, and get 144.
Multiply by 2 to find the area of the rectangle, and get 288 cm^2
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
Solve the equation 5x - 10 = 25
please tell me the working
Answer:
x = 7
Step-by-step explanation:
5x - 10 = 25
shift -10 to the other side then -10 become plus 10
5x = 25 + 10
now do addition in right hand side
5x = 35
shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)
x = 35/5
x = 7
The solution to the equation 5x - 10 = 25 is x = 7.
To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.
First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:
5x - 10 + 10 = 25 + 10
This simplifies to:
5x = 35
Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:
5x/5 = 35/5
This yields:
x = 7
Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:
5(7) - 10 = 25
35 - 10 = 25
25 = 25
Since the equation holds true, we can conclude that x = 7 is the solution.
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(125^2 +25^2) (5^2-1) is divisible by 3
Answer:
See Below.
Step-by-step explanation:
We want to prove that the expression:
[tex](125^2+25^2)(5^2-1)[/tex]
Is divisible by three.
We can simplify the second factor:
[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]
Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.
Answer:
It is divisible by 3.
Step-by-step explanation:
(125² + 25²)(5² - 1) ÷ 3
(15625 + 625)(25 - 1) ÷ 3
(16250)(24) ÷ 3
390000 ÷ 3
130000
Solve this pleaseeeee
Answer:
-4 < n ≤ 5
Step-by-step explanation:
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