Answers
Answer:
a) S_tot 320 cm² (cube), 282.743339 cm² (cylinder) thus the cube is a greater surface area.
b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.
Step-by-step explanation:
First solve for the cube:
length l = 10 cm
width w = 10 cm
height h = 3 cm
diagonal d = 14.4568323 cm
total surface area Stot = 320 cm²
lateral surface area S_lat = 120 cm²
top surface area S_top = 100 cm²
bottom surface area S_bot = 100 cm²
volume V = 300 cm³
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Formulas for a rectangular prism or cube:
Volume of Rectangular Prism:
V = lwh
Surface Area of Rectangular Prism:
S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism:
d = √(l² + w² + h²)
_______________________________
Second we solve for the cylinder
radius r = 5 cm d/2 = 10/2 = 5 cm
height h = 4 cm
volume V = 314.159265 cm³
lateral surface area L = 125.663706 cm²
top surface area T = 78.5398163 cm²
base surface area B = 78.5398163 cm²
total surface area A = 282.743339 cm²
In Terms of Pi π
volume V = 100 π cm³
lateral surface area L = 40 π cm²
top surface area T = 25 π cm²
base surface area B = 25 π cm²
total surface area A = 90 π cm³
Agenda:
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder:
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Related Questions
just the red triangle use the Phytogram theorem please :(
Answers
Explanation: The formula for the triangle is A^2 + B^2 = C^2. So plugging that into this equation is 10^2 + 4^ = C^2, making it 116 = C^2, square root both sides and it equals 10.770033.
Factor completely 3x2 − x − 4.
Answers
Answer:
(3x-4)(x + 1)
Step-by-step explanation:
first, split the middle term,
3x^2-x-4
= 3x^2 + 3x - 4x - 4
= 3x( x+ 1) - 4( x + 1)
= (3x-4)(x + 1)
plz mark as brainliest
Answer:
(3x − 4)(x + 1)
Step-by-step explanation
Find the surface area of the prism. PLZ HELP
Answers
Answer:
180 cm
Step-by-step explanation:
Surface Area = 2(length * width + length * height + width * height)
S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)
S.A. = 180 cm.
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Answers
Answer:
is greater than
Step-by-step explanation:
The answer is C less than we got it wrong
Step-by-step explanation:
Simplify: (-4/15) - (9/10) *
Answers
Answer:
Given
Step-by-step explanation:
(-4/15)-(9/10)
LCM = 150
(-4/15)= (-40/150)
(9/10)= (135/150)
So the equation becomes
= (-40/150)-(135/150)
= (-40-135)/150
= (-40+-135)/150
= -175/150
= -7/6 ( divide both by 25 to simplify)
The simplified value of (-4/15) - (9/10) is -7/6
How to simplify step by step using BODMAS rule?
The given question is (-4/15) - (9/10)
⇒first take L.C.M 15 and 10 which is 30.
⇒divide 30 by both the denominator 10 and 15 which is 3 and 2 respectively.
⇒multiply 3*-9 and 2*-4
⇒now solve using sign.
(-4/15) - (9/10)
⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]
⇒[tex]\frac{-35}{30}[/tex]
⇒ [tex]\frac{-7}{6}[/tex]
Learn more about Simplification here: https://brainly.com/question/723406
#SPJ2
Evaluate −6 − (−4).
A. −10
B. 24
C. −2
D. 2
Answers
Answer:
The answer is -2
Step-by-step explanation:
-6 + 4 = -2
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Answers
gasoline is stored in a cylindrical container that has a diameter of 13.8 meters and a height of 4.7 meters. which is closest to the amount of plastic needed to cover the entire container?
Answers
Answer:
V = 702.984763 m³
Step-by-step explanation:
radius r = 6.9 m
height h = 4.7 m
volume V = 702.984763 m³
lateral surface area L = 203.7637 m²
top surface area T = 149.571226 m²
base surface area B = 149.571226 m²
total surface area A = 502.906152 m²
In Terms of Pi π
volume V = 223.767 π m³
lateral surface area L = 64.86 π m²
top surface area T = 47.61 π m²
base surface area B = 47.61 π m²
total surface area A = 160.08 π m²
Agenda:
r = radius = diameter/2
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formula: Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Another car is 4 years old And has been valued at 2600
Answers
Answer:
Step-by-step explanation:where is the rest of the question
Factorise 28x+30......
Answers
Answer:
2(14x +15)
Hope it helps
......
I think that this I correct
what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)
Answers
Answer:
4(x-3)(x-2)
Step-by-step explanation:
4x^2-20x+24
4(x-3)(x-2)
1) A camera costs £180 in a 10% sale. What was the pre-sale price
Answers
Answer:
£200
Step-by-step explanation:
Let the original price of the camera be x.
The 10% discounted price of the camera is £180. This means that 10% of x was deducted from x to give £180:
x - (10/100 * x) = 180
x - 0.1x = 180
0.9x = 180
x = 180 / 0.9 = £200
The pre-sale price was £200.
5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?
Answers
Answer:
60km
Step-by-step explanation:
75/10=x/8
Solve For X
75*8=600, 600/10=60
THEREFORE
75/10=60/8
You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage
Answer:
60km
Step-by-step explanation:
Let x represent the required distance.
Since the quantity of petrol is directly proportional to the distance:
x : 75 = 8 : 10
i.e. [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]
x = [tex]\frac{75 * 8}{10}[/tex]
x = 60
∴ The distance is 60 km.
Hope this helps!!!
The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?
Answers
Answer:
Distance between 2 stations= 8.94 miles
Step-by-step explanation:
The coordinates of Symphony Station is given by:
Symphony Station: (x₁ , y₁) : (1,2)
The coordinates of Elm station is given by:
Elm Station: (x₂ ,y₂) : (-3,-6)
We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as
d= √((x₂ - x₁)² + (y₂ - y₁) ²)
Substitute values
d= √((-3 - 1)² + (-6 - 2) ²)
d= √((-4)²+(-8)²)
d= √(16+64)
d=√80
d= 8.94 miles
A. all real numbers
B. x≤0
C. x≥4
D. -2≤x≤2
Answers
Answer:
D. The true answer is D. -2<x<2
tom gets a bonus of 30% of £96
sally gets a bonus of £31.40
work out the difference between the bonus that tom gets and the bonus that sally gets
Answers
Answer:
The difference between the bonus is £2.6
Step-by-step explanation:
First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :
[tex] \frac{30}{100} \times 96 = 28.8[/tex]
Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :
[tex]31.4 - 28.8 = 2.6[/tex]
YEAR 9 MATHS
PLEASE ANSWER ALL THREE QUESTIONS FOR BRAINLIEST
write all the coordinates down to make the shape please
Answers
The x: (3,2)
The big triangle: (-3,3), (-1,5), (-2,1)
(For the big triangle that is only correct if the black dot is the mirror line)
What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2
Answers
Answer:
The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Did da test
The inverse of f(x) is a function
Answers
Answer:
Step-by-step explanation:
Not always. If, however, the given function passes the "horizontal line test," then the given function has an inverse which is also a function. The horizontal line test consists of drawing a horizontal line through the given graph; if the line intersects the graph in only one place, it "passes," and the given function has an inverse function.
whats 700 divided by 178
Answers
Answer:
3.93258426966
Step-by-step explanation:
To 1 d.p = 3.9
Answer:
≈3.9 (3.932584269662921...)
OR
3 R 166
OR
[tex]3\frac{83}{350}[/tex]
Step-by-step explanation:
700÷178=3.932584269662921
700÷178=3 R 166
700÷178=
[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]
If you wanted it in decimal form, the decimal would be infinite.
If you wanted it with a remainder, it's 3 R 166
If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answers
Answer:
B
Step-by-step explanation:
Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.
Answer:
B.
Step-by-step explanation:
Arranged from largest to smallest
Find the sum of the geometric sequence -3,15,-75,375,... when there are 7 terms and select the correct answer below.
Answers
Answer:
-39,063
Step-by-step explanation:
In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.
Now we add the terms together:
-3+15+-75+375+-1875+9375+-46875
=-3+15-75+375-1875+9375-46875
=-39063
Hope this helps :)
Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answers
Answer:
-8y = 6
Step-by-step explanation:
-6x+4y = -8
6x -12y = 14
Add the equations
-6x+4y = -8
6x -12y = 14
--------------------
0x -8y = 6
Answer:
Negative 8 y = 6
Step-by-step explanation:
6x + 4y = - 8.... (1)
6x -12y = 14....... (2)
Adding (1) & (2)
- 6x + 4y = - 8
6x - 12y = 14
--------------------
0x -8y = 6
= - 8y = 6
Hope this helps!
The ratio of the areas of two similar polygons is 25:9.
a) What is the ratio of corresponding side lengths?
b) What is the ratio of the perimeters of the polygons?
Answers
Answer:
the side of the length is 5
Step-by-step explanation:
Which operation should you perform first in the expression 7 × 23?
Answers
Answer:multiplication
Step-by-step explanation:
Answer:
Multiplication
Step-by-step explanation:
Remember PEMDAS.
This is the order of operations
Parentheses, exponents, multiplication, division, addition, and subtraction.
That is the order you need to do things in, and in this case, since there are no other operations, the answer is multiplication.
a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart
Answers
Answer:
Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)
Step-by-step explanation:
1 : 1000
55 : 55000
Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)
Find the slope of the line that passes through (2, 5) and (7, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
(8-5)/(7-2)= 3/5
Step-by-step explanation:
proper fraction
50 pts help pls...
Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)
Felix
mean = 9.4
median = 7
Tyler
mean = 54
median = 66
Answers
Mean = (9.4+54)/2= 31,7
Median= (7+66)/2= 36,5
Is this what you are looking for??
model -5 + (-6) on the number line
Answers
Answer:
-5+(-6 )= -11 so you would pinpoint -11 on the number line
Step-by-step explanation:
14th term of geometric sequence 10,20,40
Answers
Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).
To find the common ratio, we can simply divide the next term after the first (20/2=10).
So, an=10*2^(14-1).
After doing the parentheses and multiplication, we have 20^13, which is 81920.
