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Give the dimensions of 2 solids with equal surface area and different volume
Two solids with the same surface and different volumes are a cube of side length of 1 unit, and a sphere of radius of 0.69 units.
How to find the two solids?
First, let's define a cube of a side length of 1 unit. The surface of this cube is equal to 6 times the area of one of the faces, or:
S = 6*(1 unit square) = 6 units square.
And the volume is equal to the side length cubed, so we have:
V = (1 unit)^3 = 1 unit cubed.
Now, let's find a sphere with the same surface than our cube. For a sphere of radius R, the surface is:
S = 4*3.14*R^2
Then we must have:
4*3.14*R^2 = 6 units square
R = √(6/(4*3.14)) units = 0.69 units.
And the volume of this sphere is:
V = (4/3)*3.14*R^3 = (4/3)*3.14*(0.69 units)^3 = 1.38 cubic units.
So the sphere has the same surface and more volume.
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A vet is preparing a diet for a group of dogs. Each serving should be no larger than 8
ounces and must contain at least 29 units of Nutrient I and at least 20 units of Nutrient II.
The diet will be prepared from a combination of 2 brands, brand A and brand B. Each ounce
of brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of brand B
contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 3 cents/ounce and B
costs 4 cents/ounce. Determine how many ounces of each brand of dog food should be used
per serving in order to meet the given requirements at a minimum cost.
Help picture below problem 11
Answer:
Missing Angle = 26⁰ ( corresponding angles )
im confused can somebody help me please
well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]
hmmm so what's f(-1), namely what is f(x) when x = -1?
well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say
f(-1) = 7(-1) + 10
f(-1) = 3
so hmm what's f(0) or namely, what's f(x) when x = 0?
well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20
f(0) = 7(0) + 20
f(0) = 20.
am I right? please only answer if you are positive that you’re correct. thank you!
Answer:
yes you are correct :)))
please help me please pleasr please
Answer:
which one's anwer you want
2. length= 65 ft width=24 m area=135 in2
Number 1. Don’t worry about the other stuff well you can the other stuff if you want I don’t know them either
Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:
1. x = 75°; y = 85°, z = 210°
2. x = 38°
3. x = 143°
What is the Angles of Intersecting Tangents Theorem?The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.
What is the Angles of the Intersecting Chords Theorem?The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)
1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)
x = 75°
y = 180 - 95 = 85°
z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]
m(HEF) = 210°
2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]
x = 1/2(76)
x = 38°
3. x = 1/2(146 + 140) [angles of intersecting chords theorem]
x = 1/2(286)
x = 143°
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Lela bought 3.3 pounds of nuts they cost $1.79 a pound. How much money did she spend
Answer:
5.907
Step-by-step explanation:
I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:
Find the 18th term in the arithmetic sequence.
2, 8, 14, 20, 26, ...
87
110
104
102
Answer:
104
Step-by-step explanation:
1st term + or - common difference (term -1)
common difference is +6
2 + 6 (18-1)
2 + 6 (17)
2 + 102
104
Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
This dress will be sold in the boutique for $6,716.25.
Price calculationGiven that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:
(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X(1800 + 2205 + 720 + 648) x 1.25 = X5373 x 1.25 = X6,716.25 = XTherefore, this dress will be sold in the boutique for $6,716.25.
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Answer:
This dress will be sold in the boutique for $6,716.25.
Step-by-step explanation:
Determine the perimeter of the figure below:
6 cm
5 1/2
helpppp
Answer:
•SEE BELOW••WHAT IS PERIMETER?
>> PERIMETER MEANS THE SUM OF ALL SIDES OF FIGURE
NOW,LET'S SEE YOUR GIVEN QUESTION.
THE FIGURES 2 SIDES DATA IS GIVEN
•6CM
•5.5CM
THEREFORE : 6 + 5.5
: 11.5 CM
THE PERIMETER OF FIGURE IS 11.5 CM
100 points and brainliest. Put nonesense and get reported. What is wrong with the equation below, make sure to explain
Answer: 1 3/4(8)= 14
Step-by-step explanation:
That is the correct answer
Elise drew p pictures. Nora drew 70 fewer pictures than Elise. Write an expression that shows how many pictures Nora drew
Answer:
p - 70
Step-by-step explanation:
elsie drew = p70 less than p
nora drew = p - 70Answer:
p - 70
Step-by-step explanation:
We're looking for the number of drawings Nora made, which is 70 fewer than Elise's, p. In instances like this, always subtract the number of less drawn from the quantity drawn by the other person, which is 70 - p. However, this would almost certainly result in a negative response, which isn't feasible. If you flip them over, you'll get p - 70.
Let a represent a non zero rational number and let b represent an irrational number. Which expression could represent a rational number?
The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.
What are rational and irrational numbers?If a number can be represented by a fraction, it is rational, otherwise, it is irrational.
The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.
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A line passes through the point(5,-6) and has a slope of -2 .
Answer:
Possible answers (6,-8) and (4,-4)
Step-by-step explanation:
These two possible answers show the line has a slope of -2
7(5/14a-5/21)-1/12(3a+6)
[tex]\sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex] or [tex]\sf \dfrac{54a-52}{24}[/tex]
======================================
[tex]\sf \rightarrow 7\left(\dfrac{5}{14}a-\dfrac{5}{21}\right)-\dfrac{1}{12}\left(3a+6\right)[/tex]
use distributive method
[tex]\sf \rightarrow \dfrac{5a}{2}-\dfrac{5}{3}-\dfrac{a}{4}-\dfrac{1}{2}[/tex]
group terms
[tex]\rightarrow \sf \rigtharrow \dfrac{5a}{2}-\dfrac{a}{4}-\dfrac{5}{3}-\dfrac{1}{2}[/tex]
make the denominators same
[tex]\rightarrow \sf \rigtharrow \dfrac{2(5a)}{4}-\dfrac{a}{4}-\dfrac{2(5)}{6}-\dfrac{3(1)}{6}[/tex]
simplify
[tex]\rightarrow \sf \rigtharrow \dfrac{10a-a}{4}-\dfrac{10+3}{6}[/tex]
answer in separate constants
[tex]\rightarrow \sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]
make the denominators same
[tex]\rightarrow \sf \dfrac{6(9a)}{24}-\dfrac{4(13)}{24}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{54a}{24}-\dfrac{52}{24}[/tex]
join both fractions
[tex]\rightarrow \sf \dfrac{54a-52}{24}[/tex]
Answer:
[tex]\boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
Step-by-step explanation:
[tex]7(\dfrac{5a}{14} - \dfrac{5}{21} ) - \dfrac{(3a + 6)}{12}[/tex]
Step-1: Simplify the distributive property
⇒ [tex]\dfrac{35a}{14} - \dfrac{35}{21} - \dfrac{(3a + 6)}{12}[/tex]
Step-2: Make common denominators
⇒ [tex]\dfrac{35a \times 3}{14 \times 3} - \dfrac{35 \times 2}{21 \times 2} - \dfrac{7 \times (3a + 6)}{12 \times 7}[/tex]
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{7 \times (3a + 6)}{84}[/tex]
Step-3: Simplify the distributive property
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a + 42}{84}[/tex]
Step-4: Rewrite (21a + 42)/84 in a different way
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a}{84} + \dfrac{42}{84}[/tex]
Step-5: Add/Subtract if necessary
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}}[/tex]
Step-6: Simplify the fractions
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}} = {\dfrac{9a}{4} - \dfrac{49}{42}} = \boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
The first term of an A.P is 3 and the fifth term is 9.Find the number of terms in the progression if the sum of the progression is 81.
Answer:
its A becauss i tryed b and th en i tried A so its a
A pool measuring 10 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1380 square meters, what is the width of the path?
Answer:
112m
Step-by-step explanation:
A = lw
A = 10(26)
A = 260
1380 - 260 = 1120
1120 = 10(w)
1120 / 10 = 112
I don’t know what is the least common factor of 18 and 12.
Answer:
the common factors for both are 1,2,3,6
if x-y= -10 and x-y=2 what is the value of x
Answer:
No solutions
Step-by-step explanation:
if x-y=-10, then x<y
but in x-y=2, x>y
x cannot be bigger than and less than y at the same time
An architech was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. what is the volume, in cubic feet , or the room?
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 6 feet and a height of 18 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .
Step by step explanation :
Given -
Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feetTo find -
The percent of container B that is left after pumping the water of Container A full in it.
Solution -
Firstly, we have to find how much water each container can hold i.e. volume of containers .
We know that -
[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
For Container A
Given, diameter = 6 feet
.•. Radius = [tex] \frac{6}{2} [/tex]
[tex] = 3 \: \mathfrak{feet}[/tex]
Height = 18 feet
•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]
[tex] = \frac{3564}{7} [/tex]
[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth . ..
[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]
For Container B
Given, Diameter = 8 feet
.•. Radius = [tex] \frac{8}{2} [/tex]
[tex] = 4 \: \mathfrak{feet}[/tex]
Height = 17 feet
•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]
[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]
[tex] = \frac{5984}{7} [/tex]
[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth. ..
[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]
Now,
Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A
= ( 850 - 510 ) ft^3
= 340 ft^3
Now ,
The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100
[tex] = \frac{340}{850} \times 100[/tex]
[tex] = \boxed{ 40 \: \%}[/tex]Solve for x. Round to the tenths place. Can somebody help
Answer:
12.12
Step-by-step explanation:
7^2+x^2=14^2, as by the Pythagorean theorem.
49+x^2=196,
x^2=147,
square root of 147;
it's close to 144,
thus, 12.12
(WORTH 70 PLS HELP) What percent of the values represented in this box-and-whisker plot are less than 20?
Box-and-whisker plot defined by points at 5, 20, 25, 30, and 45.
about 10%
about 25%
about 50%
about 75%
Answer:
About 25%
Step-by-step explanation:
The median is 25, and you know there are quartiles. From the median to a consecutive quartile, there is a range of 25%. For less than 20, It's from 5-20. Since there is a consecutive quartile, you get 25%!
Answer:
25%
Step-by-step explanation:
I took the test Hope this helps :)
The amount of work to move a chair to the living room is equal to 10 joules. How much work would it be to move the same chair using a simple machine?
The work done by the machine is the product of force and distance
The amount of work done by the machine is 10 joules
How to determine the amount of work?The amount of work done is calculated using:
W = Fd
Where:
F represents the forced represents the distanceThe distance moved to the living room is the same when you move the chair or a machine does is the same.
Also, if the force applied in moving the chair remains unchanged, the amount of work done would be the same.
Hence, the amount of work done by the machine is 10 joules
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I need help please give explanation and thank you
Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear completes 1/4 of a rotation.
How many rotations does the smaller gear complete when the larger gear completes 1 rotation?
A.1/10
B. 5/8
C. 5
D. 10
The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:
2 1/2 x 4 = 10
answer: D. 10
please help and please leave a legit answer
Answer:
y= -12/x + 3
Step-by-step explanation:
Here's my answer
Tori made a scale drawing of an Italian
restaurant. The restaurant's kitchen is 2
millimeters long in the drawing. The actual
kitchen is 16 meters long. What scale did Tori
use for the drawing?
1 millimeter :
meters
Step-by-step explanation:
2mm : 16m
so to get 1mm you need to divide 16 by 2
16/2 is 8 therefore
1mm : 8m
1 millimeter represents 8 meters in real life
hope that helps :)
BRAINLIEST GIVEN)The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
Answer:
238
Step-by-step explanation:
You have to find the area for each box and then you add all of them together
Answer:
238 mm²
Surface area of rectangular prsim = 2(lw + lh + wh)
Here,
length = 11 mm
width = 4 mm
height = 5 mm
area:
2*(4*11+5*11+5*4)238 mm²