Answers
Answer:
Total surface area=
304+9pi
~= 332.3
Step-by-step explanation:
Surface area is the areas of all the parts/sides/surfaces of the shape all added together.
There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.
The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)
BOTTOM: 8×10 =80
SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.
There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80
For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.
CIRCLE (under the dome):
Area of a circle is A=pi•r^2= pi•3^2
A = 9pi
So the flat TOP is:
80 - 9pi ~= 51.7
The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.
DOME =
4pi•3^2•(1/2)
= 4pi•9•(1/2)
= 18pi
~= 56.5
Now add up all the pieces:
80+64+80+80-9pi+18pi
= 304+9pi
~= 304 +28.3
= 332.3
Related Questions
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. f(x)= x+a b g(x)=cx−d Part 2. Show your work to prove that the inverse of f(x) is g(x). Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y = x on the same graph. Task 2 Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model: a√x+b+c=d Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. Part 3. Explain why the first equation has an extraneous solution and the second does not.A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.” Use the graph below to justify the lead executive’s statement. Determine the approximate year that the two ad revenues were equal. See Text Version Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0: Year number Western Beach width (in feet) Dunes Beach width (in feet) 0 100 20 5 90 45 10 80 70 11 78 75 12 76 80 15 70 95 Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table. Between which years will the beaches have approximately the same width? Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
Answers
Answer: 5+10-15=30
5=35
=7
х=49
5√49+10-15=30
30=30
+1+7=4
=-4
it is no solution
Step-by-step explanation:
Determine the interquartile range for the following data 1,15,16,16,19,24,25
Answers
Answer:
IQR = 9
Step-by-step explanation:
Q3 = 24
Q1 = 15
24-15=9
Give brainliest, please!
Hope this helps :)
A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at the profit of 5%.What was the selling price of each bulb?
Answers
Answer:
₹165.79
Step-by-step explanation:
Given:-
No. of electric bulbs = 1000
cost of each electric bulb = ₹ 150
No. of bulbs broken = 50
Selling price of each bulb = x
Profit percentage = 5%
To Find:-
The selling price of each bulb.
Solution:-
Cost price of 1000 electric bulbs,
= 1000 × ₹150
= ₹1,50,000
5% profit on the total cost price,
= {5}/{100}× ₹150000
= ₹7500
Total selling price = ₹157500
No. of bulbs remaining = 950
Therefore, selling price of each bulb,
= {₹157500}/{950}
= ₹165.79
Therefore,
Selling price of each bulb = ₹165.79
Geometry problem help, will reward brainly! both dont have to be solved, but id really appreciate it.
Answers
Answer:
height: 8 mslant height: 5 inStep-by-step explanation:
The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...
V = 1/3s²h . . . . . s is the base length; h is the height
A = s(s +2h) . . . . s is the base length; h is the slant height
__
height given volumeUsing the given values for the volume and the length of the base, the formula becomes ...
V = 1/3s²h
96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s
(96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h
The height of the pyramid is 8 meters.
__
slant height given areaUsing the given values for area and the length of the base, the formula becomes ...
A = s(s +2h)
47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s
13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in
10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in
5 in = h . . . . . . . . . . . . . . . . divide by 2
The slant height of the pyramid is 5 inches.
simplify square root of 10,000,000 using powers of ten
Answers
using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]
Meaning of IndicesIndices in mathematics can be defined as a value that takes up in index form but still retain its magnitude.
It is writing big or complicated values in a simpler and smaller way.
Indices is so important for simplicity purposes.
in conclusion, using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]
Learn more about indices: https://brainly.com/question/170984
#SPJ1
PLEASE ANSWER PLEASEEEEEEEEE
Answers
Answer:
C
Step-by-step explanation:
11 | 2 means 112
A is wrong because 11 | 2 cannot mean 12.
B is wrong because stem with value 1 doesn't exist.
D is wrong because stems and leaves are not added to give real value.
Hope this helps!
Move a phrase and number to the blanks to complete the sentence.
Answers
2nd blank- 75 min
Answer:
The sophomore in her school is 75
Step-by-step explanation:
Solution
The plot shows the distribution of 30 sophomores
We can see that there are 3 main vertical
line in red pen in the picture above.( distribution)
The first line means Minimum
The third line means the maximum
The second line means the medium
So the Medium is 75. And 30 sophomores in her
School took the survey.
So the medium belongs to them
what is the surface area of a rectangular prism that has a length of 5 cm, a height of 14 cm, and a width of 12 cm? a. 298 cm2 b. 378 cm2 c. 616 cm2 d. 596 cm2
Answers
Answer:
sorry for being late but the answer is c 616 cm
Step-by-step explanation:
A system of equations is graphed on the coordinate plane.
y = 1/2+2
y = x + 1
What is the solution to the system of equations?
Answers
Answer:
y=2.5, x=1.5
Step-by-step explanation:
y=1/2+2 ---(1)
y=x+1 ---(2)
y=1/2+2=2.5
Substitute y=2.5 into equation (2)
y=x+1
2.5=x+1
2.5-1=x
x=1.5
Which climate has moderate rainfall, nutrient rich soils, and has a relatively thick layer of topsoil?
A. Desert
B. Arctic
C. Tropical rainforest
D. Grassland
Answers
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
A or 2
Step-by-step explanation:
Reason:
The 5's cancel out leaving the 2 behind as the final answer.
Another way to look at it is that the 5*2 up top multiplies to 10, then we divide that by the 5 in the denominator to end up with 10/5 = 2
If you are a visual learner, then draw a circle and divide it into 5 equal slices. Do this a total of five times. Each pizza having 2 slices, and 5 pizzas total, gives 2*5 = 10 slices overall. These ten slices can be rearranged into making 2 full pizzas.
See below.
A ramp rises 3.5 feet & has an angle of elevation
of 24 degrees. How long is the ramp?
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
5 points and brainliest to the best correct answer, questions in photo, thank you
Answers
Answer:
C) 150
Step-by-step explanation:
A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C
Layla walked a total of 12 kilometers by making 4 trips to school. After 5 trips to school, how many kilometers will Layla have walked in total? Assume the relationship is directly proportional.
Answers
Answer:
[tex]=15km[/tex]
Explanation:
[tex]12[/tex] [tex]km[/tex] ÷ [tex]4[/tex]
[tex]=3[/tex] [tex]km[/tex] per trip to school
Now that we know that Layla walks 3 km to walk to school, we multiply that by 10
[tex]3[/tex] [tex]km[/tex] × [tex]5[/tex] [tex]trips[/tex]
[tex]=15[/tex] [tex]km[/tex]
∴ Layla walked 15 km in total
students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.
Answers
we know that
The formula for combinations is
[tex]C=n!/[(n-r)!*r!][/tex]
where
[tex]n[/tex] is the total number of objects you choose from
[tex]r[/tex] is the number that you choose to arrange
in this problem
[tex]n=15[/tex] students
[tex]r=4[/tex] students
[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]
[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]
the answer is
1,365
i need help can u guys help ;-;
Answers
Answer:
The answer for x and y will be x = Y + 7 and Y = 6x + 7Step-by-step explanation:
Y=6x - 7
6x - 7 = Y
6x = Y + 7
6x/6 = Y + 7/6
X = Y + 7
PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.
Answers
Answer: Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B
Step-by-step explanation:
* Lets revise the vertical and horizontal stretch with reflection
- A vertical stretching is the stretching of the graph away from the
x-axis
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched
by multiplying each of its y-coordinates by k.
- If k should be negative, the vertical stretch is followed by a reflection
across the x-axis
- A horizontal stretching is the stretching of the graph away from
the y-axis
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally
stretched by dividing each of its x-coordinates by k.
- If k should be negative, the horizontal stretch or shrink is followed
by a reflection in the y-axis
* Lets solve the problem
∵ G(x) = sin x
∵ F(x) = -5.8 sin x
∴ F(x) = -5.8 G(x)
- From the rule above
∴ G(x) is stretched vertically by scale factor -5.8
∵ The scale factor is negative
∴ The vertical stretch is followed by a reflection across the x-axis
* The transformation is:
Vertical stretch by a factor of 5.8 , reflection across x-axis
What is the slope of the line that passes through the points (-8, 6) and (-8, 2)?
Write your answer in simplest form.
Answers
Answer: Undefined or Vertical Slope.
Round 418 to the nearest ten.
Answers
Answer:
The answer should be 420.
~
Step-by-step explanation:
The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from A to C and the distance from A to B. Round to the nearest tenth, if necessary.
(Only really need A to B though)
Answers
Using Pythagorean theory
10^2 + 52^2 = c^2 (hypotenuse)
2704 = c^2
52 = c (A to B)
Multiply. 2 5/8⋅(−4 3/4)
A. −12 15/32
B. −8 15/32
C. −7 3/8
D. −2 1/8
Answers
option b
see attachment for solution
hope it helps...!!!
If humans have infinity magnetite why cant we think of a another colur
Answers
10 units
What is the approximate area of the circle?
Answers
Because pi r ^2
#76 will give brainliest! please help
Answers
Answer:
2nd option, (6x + 8)(x - 1) = 0
Step-by-step explanation:
Answer:
[tex](6x+8)(x-1)[/tex]
Step-by-step explanation:
We can separate the 2x into -6x + 8x. Then this will give us [tex]6x^2 - 6x + 8x - 8 = 0[/tex]. Now we can factor out a 6x and an 8 to give us [tex]6x(x-1) + 8(x-1) = (6x+8)(x-1)[/tex] by the distributive property.
Hope this helps! :)
Jeremiah paid $5.76 for some pencils at the school store. if each pencil cost $0.18, how many pencils did jeremiah buy?
Answers
Answer:
They bought 32 pencils
Step-by-step explanation:
5.76 divided by 0.18 = 32
In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. the next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. what is the cost of one toy car? $1 for one car $2 for one car $4 for one car $8 for one car
Answers
Answer:
$2
Step-by-step explanation:
see photo for solution
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
17,964.9 cubic meters
Step-by-step explanation:
Hey there!
The formula for finding the area of a sphere is:
[tex]V=(4/3)\pi r^3[/tex]
Where V is volume, and r is radius
The question already tells us that the diameter is 32.5m
*Remember, the diameter isn't the radius. It is the radius times two*
Now, we have to divide 32.5 by 2 to get the radius
32.5/2 is 16.25
Now we can plug this into the formula
16.25 cubed is 4291 after being rounded to the nearest tenth
Now we multiply 4291 by 3.14 (pi)
4291 x 3.14 is 13473.7 after being rounded to the nearest tenth
Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere
13473.7 x 4/3 is 17964.93333333...
Since it is asking us to round to the nearest tenth of a cubic meter;
The volume of the sphere will be 17,964.9 cubic meters
[tex]\rule{300}{1}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the volume of a sphere, which we can find using the following formula:-
[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]
Where:-V=volumeπ=pi (3.14…)r=radiusProvided information:-diameter (d)=32.5 mWhat we need in order to find the volume:-radiusWhat we need in order to find the radius:-Since the radius is exactly one-half of the diameter, we divide the diameter by 2 in order to find the radius:-[tex]\bold{r=d\div2}[/tex]
Replace d with 32.5:-
[tex]\bold{r=32.5\div2}[/tex]
Therefore, the sphere's radius is as follows:-
[tex]\bold{r=16.25}[/tex] m
[tex]\rule{300}{1}[/tex]
Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-
[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]
Replace r with 16.25:-
[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex] Next, we replace π with 3.14:-
[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]
On simplification,
[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]
On further simplification,
[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
What is the difference of the y coordinate (0,3) and the y coordinate (4,0)
Answers
Answer:
3
Step-by-step explanation:
The difference of the two y-coordinates is found by ...
a) identifying the y-coordinates
b) computing their difference.
__
Each ordered pair lists the y-coordinate second.
(0, 3) ⇒ y-coordinate = 3
(4, 0) ⇒ y-coordinate = 0
The difference of the y-coordinates is ...
3 -0 = 3
answer that for me xx
Answers
Hope it helps.
Refer attachments
I hope this helps!
length of a rectangular garden is 9m and breadth is 6m calculate it's area in mm2
Answers
Given
Length =9 m
Breadth =6 m
Area of the rectangle= (length × breadth) sq. units
=(9×6) m
2
=54 m
2
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