Answers
Answer:
[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]
[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]
Step-by-step explanation:
For solid iron sphere:radius (r) = 2 cm (Given)Formula for [tex]V_{sphere} [/tex] is given as:[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex][tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex][tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4xFormula for [tex]V_{cone} [/tex] is given as:[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex][tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex][tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex][tex]\implies 12x^3= \frac{32}{3}[/tex][tex]\implies x^3= \frac{32}{36}[/tex][tex]\implies x^3= \frac{8}{9}[/tex][tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex][tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\because r = 3x [/tex][tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex][tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:[tex]log r = log (2\times \sqrt [3]3)[/tex][tex]log r = log (2\times 3^{\frac{1}{3}})[/tex][tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex][tex]log r = log 2+ \frac{1}{3}log 3[/tex][tex]log r = 0.4600704139[/tex]Taking antilog on both sides, we find:[tex]antilog(log r )= antilog(0.4600704139)[/tex][tex]\implies r = 2.8844991406[/tex][tex]\implies \huge \red{r = 2.88\: cm}[/tex][tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]Related Questions
Please helppppppppppp
Answers
please help need asap
Answers
brainly.com/question/27661391 yo im begging some one to help
Step-by-step explanation:
Find the volume of the candle:
3^2 x 3.14 x 4= 113.04cubic inches.
now divide total wax used by volume of a candle.
3278.16 / 113.04 = 29 candles.
The universal set is the set that contains no elements.
True
False
Answers
Answer:
False,
Step-by-step explanation:
The set that contains no elements is the null set Ф.
Answer: True
Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.
A car rental company charges $120 plus $0.37 per mile, m. Which equation represents the total cost, c, of renting a car?
Answers
Explanation: 120 is the cost of the renting so you just add that to the total amount. Next, since it is 0.37 PER mile, you will have to multiply and add 0.37 to each mile that the car is driven.
determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)
Answers
Answer:
Amplitude:2
b value: pi/6 ± 2 pi/3
period: 2 pi /3
phase shift: 3/2 pi to the left
vertical shift: 0
Hope this helps!!!
Please mark me as brainliest!!!
P.S. I only need one more brainliest to get Virturoso
4.5,4.316,4.32,4.312 from least to greatest
Answers
4.5, 4.316, 4.32, 4.312
= 4.500, 4.316, 4.320, 4.312
Look at the thousandths and hundreths place in the decimal section.
Least to greatest = 4.312 < 4.316 < 4.32 < 4.5
Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answers
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]
comparing -4 to -5 integers
Answers
what they have in common is that there both Intergers but What's different is that there -1 off
Solve for x.
Your answer must be simplified
15<−5x
Answers
Because it doesn’t work for me to do that one time
What is the slope of the line through (-4,2) and (−4,2)
Answers
Answer:
Step-by-step explanation:
there is no slope. they have the same coordinates
6
5
4
3
2
1
A
654-3-2-1₁.
-2-
3-
4+
B
5
2 9 4 9
6
uje
1 2 3 4 5 6 X
с
What are possible coordinates of point F if ADEF is
congruent to AABC?
(-1,4)
(4,-1)
(0,-1)
(-1,0)
Answers
Answer:
(-1;4)
Step-by-step explanation:
as the triangles are congruent
The coordinate of point F is (1-, 4). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given graph, the coordinate points are A(-5, 0), B(-5, -5) and C(2, -5).
Here, ΔABC and ΔDEF are congruent triangles.
So, the coordinate of point F are (1-, 4)
Therefore, option A is the correct answer.
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Find the area of a circle with a diameter of 8 cm. Use T = 3.14 Round your answer to the nearest hundredth.
Answers
Answer:
25.12
Step-by-step explanation:
c=(pi)(d)
c=3.14*8
c=25.12
The ratio of cats to dogs at pet shelter is 4 to 3. if there are 36 dogs, how many cats are there?
A. 27
B. 36
C. 48
D. 52
Answers
In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?
Answers
Answer:
12/28
Step-by-step explanation:
the answer is 12/28 because 12 are men and the rest are mos likely girls,
Answer:
12 / 28
Step-by-step explanation:
Given:
- 28 students total
- 12 are men
so 12 out of the 28 are men which is the same as 12 / 28
Simplify 22-2(12/4+2*3)/3+7
Answers
Answer: 23
Step-by-step explanation:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
Mia has two cylindrical bird feeders. Her red bird feeder has a diameter of 10 inches and is 8.3 inches tall. What is the volume of the red bird feeder?
Answers
The volume of the red bird feeder will be equal to V=651.88 cubic inches
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.
It is given that:-
Diameter = 10 inches
Height = 8.3 inches
Volume=?
Since the feeder is cylindrical so the volume will be calculated as:-
[tex]\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\[/tex]
V=651.88 cubic inches
Hence volume of the red bird feeder will be equal to V=651.88 cubic inches
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Christine had 157 dollars to begin with. She just spent k dollars. Using k write an expression for the number of dollars she has left.
Answers
Answer:
157 - k = (However much she has left)
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
157 --> Base number
k --> how much money was spent
x --> money left over
157-k=x
You flip a coin and then roll a 6-sided number cube (a die).
a. When finding the probability, does it matter whether you roll the die or flip the coin first?
b. Is there more than one way to draw a tree diagram for this problem? If so, does that change the likelihood that any outcome will occur?
c. Draw the shape of the tree diagram that you would use.
d. How many outcomes are there? List them.
e. Find the probability of rolling an even number and getting heads.
Answers
Answer:
a) No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.
b) Yes.
Let event 1 be flipping a coin and event 2 be rolling a die.Let event 1 be rolling a die and event 2 be flipping a coin.The likelihood that any outcome will occur will not change, as the events are independent.
c) see attached
d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)
H 1 T 1
H 2 T 2
H 3 T 3
H 4 T 4
H 5 T 5
H 6 T 6
e)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]
PLEASE HELP NOW PLEASE
Answers
Answer:
C.
Step-by-step explanation:
-5.3 rounds up to -5
7.9 rounds up to 8
sum is 3
2.4 rounds to 2, not 3
It's not reasonable
so, the answer is C.
Answer:
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.
Step-by-step explanation:
https://brainly.com/question/27663230
Becky bought a display case with a rectangular lid that is 134 feet long and 56 feet wide.
What is the area of the lid?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answers
Answer:
1 11/24
Step-by-step explanation:
u multiply both numeators and both denominators for example 1 3/4 5/6 i would first turn 1 3/4 into 7/4 and then multiply
They had taken 8 galons of water along the bus. If there were 62 sixth graders and 2 teachers how many cups did each person get
Answers
Answer:
2
Step-by-step explanation:
8gallons=16 cup
8x16=128
62+2=64
128÷2=64
1. Why is it important to separate experimental groups by a random process?
2. Why is it important to select samples from a population using random selection?
Answers
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
What is randomization?Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.
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find the center and the radius of the circle (x-7)^2+(y+4)^2=81
Answers
A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
What is the equation of the circle with radius r units, centred at (x,y)?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:
(x-h)² + (y-k)² = r²
Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be rewritten as,
(x-7)² + [y-(-4)]² = 9²
Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.
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-4x + 2 > 26.
O A. x> 6
O B. x < 6
O C. x>-6
O D. x<-6
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is -4x+2>26?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First subtract 2 on both sides, which results in
-4x>24
Now, divide by -4 on both sides:
x<-6
The inequality sign changed because we divided both sides by a negative number.
So the values of x less than -6 will make this inequality true (will satisfy the inequality).
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.
Answers
The sum of the infinite geometric sequence 16, 8, 4, 2 is 32
How to find the sum of a geometric sequence?The sum can be represented as follows:
s∞ = a / 1 - r
where
r = common ratio
a = first term
Therefore,
r = 8 / 16 = 1 / 2
a = 16
hence,
s = 16 / 1 - 1 / 2
s = 16 / 1 / 2
s = 16 × 2 / 1
s = 32
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look at attachment and try to solve
Answers
The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The problem can be solved as,
The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.Learn more about Triangle:
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If
x
=
−
9
and
y
=
2
, evaluate the following expression:
2
(
y
−
3
x
y
)
Answers
Explanation: x=-9 y=2
2(y-3xy)
=2(2-3(-9)(2))
=4-2(3(-18))
=4-108
=-104
Hope it helped
Samuel is trying to construct the inscribed circle of a triangle.
However, all he can remember is the first step: Use angle bisectors
to find the incenter. What is the next step he needs to do to
complete the construction?
Answers
The next step to complete the construction will connect the in-center to one of the sides of the triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
Samuel is trying to construct the inscribed circle of a triangle.
Using the angle bisectors to find the in-center.
Where two angles bisector meets, the point called in-center.
Next step will be: connect the in-center to one of the sides of the triangle.
Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.
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the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answers
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
find the speed and direction of a plane with a velocity of 〈5,-12〉.
Answers
Answer:
Below in bold.
Step-by-step explanation:
Speed = √(5^2 + (-12)^2)
= √169
= 13,
Direction = arctan (5/-12)
= -22.61 degrees ( its in the 4th quadrant)
So we can write the direction as 90 + 22.61
= 112.61 degrees.
