We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
When can we find the volume of a considered figure?For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.
Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.
Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?
Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.
Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.
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mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width
Answer:
Width of the fence = 8.5 ft
Length of the fence = 16.5 ft
Step-by-step explanation:
Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?
Perimeter of the fence = 2(length + width)
Perimeter of the fence = 50 ft
Width of the fence = x ft
Length of the fence = x + 8 ft
Perimeter of the fence = 2(length + width)
50 = 2{(x+8) + (x)}
50 = 2(x + 8 + x)
50 = 2(2x + 8)
50 = 4x + 16
50 - 16 = 4x
34 = 4x
x = 34/4
x = 8.5
Width of the fence = x ft
= 8.5 ft
Length of the fence = x + 8 ft
= 8.5 + 8
= 16.5 ft
Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Perimeter of a rectangleA quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.
Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.
So,
Length of a rectangle [tex](l)=x+8[/tex]
Perimeter of a rectangle [tex]=50[/tex] feet
[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]
[tex]x=8.5[/tex] feet
So,
width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
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What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.
Question in picture
Answer:
"I hope your pillow is hot on both sides"
Step-by-step explanation:
"I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides"
Select the two values of x that are roots of this equation.
2x-5=-3x2
Answer:
Step-by-step explanation:
The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
Answer:
b cause its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
THe guy is correct its B
For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why
Answer:
5. B, C and E
6. C
7. None
8. A and D
9. F and G
Step-by-step explanation:
See attachment for complete question
5. B, C and E
B, C and E are not parallelogram because they do not have 2 pairs of parallel sides
B and E are trapeziums while C is just a quadrilateral.
6. C
In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.
7. None
A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.
8. A and D
A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.
9. F and G
These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.
w÷9=9-8
what is the answer to this equation
Answer:
9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
w÷9 = 9-8
simplify 9-8
x÷9=1
multiply both sides by 9
x=9
Find the slope please hurry
Answer:
2
Step-by-step explanation:
Erika opened a checking account with $150. She wrote checks for $23.76, $6.78, $7.26, and $6.16. She made one deposit of $45.79. She had a service charge (a deduction) of $2.25. What is her current balance ?
Answer: 154.08$
Step-by-step explanation:
A carton of ice cream has a radius of 11 cm and a height of 30 cm. A scoop of ice cream has a radius of 3 cm. How many cartons of ice cream should Ester order to make 100 scoops?
Answer:
1 carton
Step-by-step explanation:
The volume of the carton: ~11404 cm^3
The volume of 1 scoop: ~113.1 cm^3
100 scoops --> 113.1 x 100 = ~11310 cm^3
11310<11404 --> ester will need 1 carton because 100 scoops won't fill more than one.
Hope this helped! :)
Fully simplify −10x3y2(9x)
Answer:
Step-by-step explanation:
-10*9*x^3*x*y^2 = -90x^4y^2
the surface areas of two cubes have a ratio of 49 to 81. What is the ratio of the edge lengths of two cubes?
solution to 5y\9-y\9 is equal to 8\9?
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
1) Simplify 5y/9 - y/9 to 4y/9.
[tex] \frac{4y}{9} = \frac{8}{9} [/tex]
2) Multiply both sides by 9.
[tex]4y = \frac{8}{9} \times 9[/tex]
3) Cancle 9.
[tex]4y = 8[/tex]
4) Divide both sides by 4.
[tex]y = \frac{8}{4} [/tex]
4) Simplify 8/4 to 2.
[tex]y = 2[/tex]
Hence, the answer is y = 2.
please help due pretty soon
Dr. Rodriguez does an experiment with bacteria. She starts with 100 bacteria and records
the number of bacteria every hour after the experiment starts. Assume that the bacteria
growth continues in the pattern shown.
Bacteria Data
S
900
800
700
600
500
400
300
200
100
0
0
2
3
number of hours (x)
A. How many bacteria will there be 5 hr after the experiment starts? Show your
work algebraically, and explain how you found your answer.
B. Write an exponential equation of the form ya.b to represent this situation
Explain why you chose the values of a and b that you did.
C. Using your equation from Part B. find how many bacteria there will be 8 hr after
the experiment starts. Show your work algebraically, and explain how you found
your answer
number of bacteria ()
Answer:
500
Step-by-step explanation:
100x<5x=500
Sarah paid $0.75 for 3 limes. How much should she expect to pay for 5 limes at the same price?
O $0.50
O $1.00
O $1.25
O $2.25
Answer:
$1.25
Step-by-step explanation:
0.75 = 3/4
3/4 ÷ 3 = 1/4
1/4 = 0.25
0.25 x 5 = 1.25
Answer:
$1.25
Step-by-step explanation:
Income East and West of the Mississippi
For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.
Incorrect answer iconYour answer is incorrect.
(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
(b) What statistic(s) from the sample would we use to estimate the difference?
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
Answer:
H0: μ1 = μ2
H1: μ1 ≠ μ2 ;
xbar1 - xbar2
Step-by-step explanation:
The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi
H0: μ1 = μ2
H1: μ1 ≠ μ2
Statistic from the sample that would be used to estimate difference
Statistic refers to the numerical characteristic derived from the sample.
To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups
Group 1, East of Mississippi = xbar 1
Group 2, West of Mississippi River = xbar 2
xbar1 - xbar2
The ________________ is the horizontal number line on the coordinate grid.
Answer:
x-axis
Step-by-step explanation:
The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.
Hope this helps! <3
The x-axis is the horizontal number line on the coordinate grid.
It is one of the two axes that form the Cartesian coordinate system, used to locate points in a two-dimensional plane. The x-axis runs horizontally from left to right, intersecting with the vertical y-axis at the origin (0,0). It acts as a reference line, assigning numerical values to the horizontal position of points on the grid.
The x-axis allows us to specify the x-coordinate of a point, which represents its horizontal distance from the origin. Positive values are to the right of the origin, while negative values are to the left. By combining the x-axis with the y-axis, we can precisely define the position of any point in the coordinate plane.
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How to find the height of a cone when only radius is given
Answer:
upload the actually picture of the math problem young lady
What do you think deserves türkey
Write Your own thoughts
Answer:
Hey!
Türkey Server Is [tex]\small\tt{\blue{(eodev.com)}}[/tex]
a construction crew had just finished building a road the road is 6 and 3/5 km long if the crew work for 3 days how many kilometers of the road did they build each day as soon they built the same amount each day write your answer as a mixed number in simplest form
Answer:
2 1/5
Step-by-step explanation:
6 3/5 = 33/5
33/5 ÷ 3 = 11/5 = 2 1/5
The formula for finding the area of a circle is A \piπD B 2\piπr C \piπr^2 2 D \piπD^2 2
Answer:
Area of a circle = πr²
Step-by-step explanation:
The formula used for obtaining the area of a circle denoted as A is : πr²
Where, π is taken as a 22/7 (constant)
r = Radius of the circle, which is half the diameter of the circle
Hence,
Area of a circle = πr²
A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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What is the mapping rule for a 180° rotation?
(x, y) → (y, x)
(x, y) → (–y, x)
(x, y) → (y, –x)
(x, y) → (–x, –y)
Answer:
D
Step-by-step explanation:
Answer:
D. (x, y) → (–x, –y)
Step-by-step explanation:
I did the assignment it is correct :)
Quadrilateral HGFJ is a rhombus. GF = 45 cm and mZGHK= 28°. K к What is JF and mZKGH? ? H Н Enter your answers in the boxes. JF = cm O mZKGH =
Answer:
JF=45
KGH=62
Step-by-step explanation:
since the quadrilateral is a rhombus, its sides are equal GF=FJ and so on
Diagonals of a rhombus bisect each other at 90° angles, to find the missing value we subtract 90+28(the given angle) to get 62
Which expression is a factor of x² − 5x − 6?
A. x − 1
B. x − 2
C. x − 6
D. x − 3
Answer:
C
Step-by-step explanation:
Simplify:-12(5/6a-7/8)+1/4(3 1/2a-1 2/5)
Answer:
−49/8a+99/10
( I hope this was helpful ) >;D
Find the scale factor of quad JKLM to quad ABCD
Answer:
1:8 or 1/8
Step-by-step explanation:
That's your answer.....
Shondra used four ounces of chocolate
chips to make two dozen cookies. At that
rate, how many ounces of chocolate chips
would she need to make five dozen cook-
ies?
Answer:
10 ounces
Step-by-step explanation:
2 ounces per dozen cookies
2*5=10
Which equation is true?
O (8.4 x 103) = (3 x 102) = 2.8
O (8.4 x 10°) : (3 x 10) = 28
O (8.4 x 10) - (3 x 10') = 25, 200
O (8.4 x 10°) . (3 x 10') = 252,000
Answer:
(8.4 x 103) = (3 x 102) = 2.8
Step-by-step explanation:
what's the answer to this
Answer:
125
Step-by-step explanation:
Use your Equation: A= B*H (base x height)
7.8(16)= 124.8
Rounded to the nearest whole number: 125