A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone?!
2 cm
3 cm
4 cm
5 cm
Answer:
Step-by-step explanation:
VC = (1/3)·pi·r2·h
VC = volume of a cone
r = radius of base of cone = 6 cm
h = height
VC = (1/3)·pi·62·h
VC = 12·pi·h
VS = (4/3)·pi·r3
VS = volume of a sphere
r = radius of base of sphere = 3 cm
VS = (4/3)·pi·33
VS = 36·pi
Since the volume of the cone and the sphere are equal:
VC = VS
12·pi·h = 36·pi
Solve for h.
Please help ASAP! Will give brainlyest to best answer!
Option B:
m∠C = 35°
Solution:
Given data:
m(ar BD) = 30° and m(ar AE) = 100°
To find the measure of angle C:
We know that,
Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.
[tex]$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)[/tex]
[tex]$=\frac{1}{2}{( 100^\circ-30^\circ )[/tex]
[tex]$=\frac{1}{2}\times {70^\circ[/tex]
= 35°
m∠C = 35°
Option B is the correct answer.
If 20 - 2 = 15, what is the value of 3x ?
Answer:
x = 1
Step-by-step explanation:
20-2 = 18, now -3x = 15
A cone has a volume V, radius r, and a height of 12 cm. A cone has the same height and 1/3 of the radius of the original cone. Write an expression for its volume.
Answer:
[tex]\displaystyle \frac{4r^2\pi }{9} \text{ cm}^3[/tex]
Step-by-step explanation:
We will write an expression for the second cone's volume. Let r be equal to the radius of the first cone.
The volume of a cone can be found with the following formula. Here, h is the height, r is the radius, and V is the volume.
[tex]\displaystyle V=\frac{1}{3} \pi r^2h[/tex]
We will substitute our given values and simplify.
[tex]\displaystyle V=\frac{1}{3} \pi (\frac{1}{3}*r )^2(12)[/tex]
Square.
[tex]\displaystyle V=\frac{1}{3} \pi \frac{r^2}{9} (12)[/tex]
Divide 12 by 3.
[tex]\displaystyle V=\pi \frac{4r^2}{9}[/tex]
Move π to the numerator.
[tex]\displaystyle V=\frac{4r^2\pi }{9}[/tex]
The volume of the new cone, with the same height but one-third of the original radius, is represented by the expression (4 / 9)πr².
The volume of a cone is given by the formula V = (1/3)πr²h.
For a cone with a radius r and height 12 cm, its volume can be expressed as:
[tex]V = (\frac{1}{3})\pi r^2(12) = 4\pi r^2[/tex]
Now, consider a cone with the same height, but with 1/3 of the original radius. Let the new radius be (1/3)r. Using the volume formula again:
[tex]V = (\frac{1}{3})\pi (\frac{1}{3}r)^2(12) = (\frac{1}{3})\pi(\frac{1}{9}r^2)(12) = (\frac{12}{27})\pi r^2 = \frac{4}{9}\pi r^2.[/tex]
Thus, the expression for the volume of the new cone is (4 / 9) πr².
Darlene has eaten three eights of the pizza what fraction of the pizza remains?
Answer:
5/8
Step-by-step explanation:
1-3/8=5/8
how do you factor x^2+ bx+ c
Answer:
Plug in the Quadratic formula
Step-by-step explanation:
ANSWER IN ONE MINUTE AND YOU WILL BE THE BRAINLIEST!
Sabrina and four friends share 3 1/4 pizzas. If they all ate the same amount, which expression could be one of the steps in determining how much pizza each person ate?
A. 5/1 X 13/4
B. 13/4 X 1/5
C. 13/4 X 5/1
D. 5/1 X 4/13
Answer:
B
Step-by-step explanation:
what is -4.5= a - 8
Answer:
Step-by-step explanation: -4.5=a-8
1. add 8 to both sides -4.5+8= 3.5
2. since you added 8 to negative 8 you get zero so it just goes away
3. ANSWER= 3.5=a
Which system of equations below has exactly one solution?
y = –8x – 6 and y = –8x + 6
y = –8x – 6 and One-halfy = –4x – 3
y = –8x – 6 and y = 8x – 6
y = –8x – 6 and –y = 8x + 6
Answer:
The given system of equations [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solutionStep-by-step explanation:
Given that the system of equations [tex]y=-8x-6\hfill (1)[/tex] and
[tex]y=8x-6\hfill (2)[/tex] has exactly one solution
For :Now to show that the given system of equations has exactly one solution :Solving the given equations (1) and (2) to get solutionAdding the equations (1) and (2) we get[tex]y=-8x-6[/tex]
[tex]y=8x-6[/tex]
______________
[tex]2y=0-12[/tex]
[tex]y=-\frac{12}{2}[/tex]
[tex]=-6[/tex]
Therefore the value of is y=-6Substitute the value of y in equation (1) we have[tex]-6=-8x-6[/tex]
[tex]-8x-6+6=0[/tex]
[tex]-8x+0=0[/tex]
[tex]-8x=0[/tex]
[tex]x=-\frac{0}{8}[/tex]
[tex]=0[/tex]
Therefore the value of x is x=0
Therefore it has exactly one solution is (0,-6)Therefore the given system of equations [tex]y=-8x-6[/tex] and [tex]y=8x-6[/tex] has exactly one solutione given system of equations has exactly one solutionAnswer:
y=-8x-6 and
y=8x-6 has exactly one solution
Step-by-step explanation:
Kevin is twice as old as Sean. Together their ages add up to 75.
Answer:
Kevin would be 50 and Sean would be 25
Step-by-step explanation:
Assuming that there is no other information given,
and Kevin is twice as old as sean, and they gotta add up to 75 total
50 + 25 = 75
25x2 = 50
Hope this helped!
Answer:
Kevin is 50 and Sean is 25.
Step-by-step explanation:
Add 25 + 50 = 75
Multiply 25 x 2 = 50
Hope this helps
-Amelia The Unknown
2y-6x=12 what is it in slope intercept form
Answer:y=3x+6
Step-by-step explanation:
the half-life of isotope X is 2.0 years. How many years would it take for a 4.0mg sample of X to decay and have only 0.50 mg of it remain
After 2.0 years, the 4.0 mg sample decays to 2.0 mg.
After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.
And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.
So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.
It takes for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain is 6 years.
What is half-life?It is the continuous disintegration of the matter by the emission of highly penetrating radiation associated with the nucleus.
Given
The half-life of isotope X is 2.0 years.
How to find the years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg?The half-life of isotope X is 2.0 years.
Mass Time period
4.0 mg 0
2.0 mg 2
1.0 mg 4
0.5 mg 6
Thus, 6 years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain.
More about the half-life link is given below.
https://brainly.com/question/24710827
What's the value of x? 40000mg =10x g
The value of x is 4. So 40000 mg= 40 g.
Step-by-step explanation:
The given is 40000mg = 10x g
Step:1
Take given equation as equation (1)
40000 mg= 10x g.................(1)
where, X is known value.
Step:2
Standard value for mg to g for the purpose of conversion of units,
1 milligram = 0.001 gram (or)
1 gram = 1000 milligram
Step:3
From the standard data values,
= 40000 mg
it converted mg to g by dividing 1000
= [tex]\frac{40000}{1000}[/tex] g
= 40 g.......................(2)
Step:4
From the Equations (1) and (2),
40=10x
x=4
Result:
The value of x is 4. So, 40000mg = 40 g.
What is the GCF of 5 , 6 , and 8
Answer:
The GCF of 5, 6, and 8 would be 1.
Step-by-step explanation:
To find the GCF (Greatest Common Factor) of any amount on numbers, you would find the factors of the numbers and find which is the greatest one that they have in common.
To find the GCF of 5, 6, and 8, we must first find the factors of 5, 6, and 8.
Factors of 5: 1, 5
Factors of 6: 1, 2, 3, 6
Factors of 8: 1, 2, 4, 8
Now we found the factors of 5, 6, and 8. to find the GCF, we must now find which factors they have in common.
The factors 5, 6, and 8 have in common is 1. Since they have no other factors in common, 1 would be the GCF.
The GCF of 5, 6, and 8 would be 1.
I hope this helps. :)
Final answer:
The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is 1, as it is the only common factor among all the numbers.
Explanation:
The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is found by determining the largest number that divides each of the given numbers without leaving a remainder. To find the GCF, we can list the factors of each number:
Factors of 5: 1, 5Factors of 6: 1, 2, 3, 6Factors of 8: 1, 2, 4, 8Looking at the factors, 1 is the only number that is common to all three, making it the GCF.
Hence, the GCF of 5, 6, and 8 is 1. This methodically derived GCF encapsulates the common factor that unifies the numerical trio.
Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.
The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively
Given:
Earnings for babysitting = $7
my Earnings for landscaping = $11
Total earnings = $96
Iet
number of hours babysitting = x
number of hours landscaping = y
y = 3 × x
y = 3x (1)
y = 3x (1)7x + 11y = 96 (2)
substitute (1) into (2)
7x + 11y = 96 (2)
7x + 11(3x) = 96
7x + 33x = 96
40x = 96
x = 96/40
x = 2.4 hours
substitute x = 2.4 into (1)
y = 3x (1)
y = 3(2.4)
y = 7.2 hours
Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively
Learn more about equation:
https://brainly.com/question/4563555
-
7 - 9 = 7+(-9)
Add.
The required sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum.
When adding the numbers 7 and -9, we follow the rules of addition with positive and negative numbers. To add a positive number and a negative number, we can think of it as subtraction. In this case, we have 7 + (-9), which is the same as 7 - 9.
To perform the addition, we subtract 9 from 7:
7 - 9 = -2
Therefore, the sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum. In this case, subtracting 9 from 7 gives us -2.
Learn more about sum here;
https://brainly.com/question/17684163
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1+1=? Easiest 5 points! I know answer but I am giving away points for something that everyone knows.
Answer:
2
Step-by-step explanation:
Step 1: Add the numbers together
1 + 1
2
Answer: 2
Explain how this method is correct...2 times 3 is 6, and 6 times 5 is 30.
Answer:
this method is correct because of the PEMDAS
Step-by-step explanation:
1 1/4 how many ounces
Answer:
There are 2 fluid oz
Step-by-step explanation:
Answer:
2 fluidz
Step-by-step explanation:
Where would you use an inequality in the real world
Answer: Good question, ill answer in the comments
Step-by-step explanation:
Answer:
money problems
Step-by-step explanation:
let's say your in accounted and the most you've made a week is 150 the inequality would be
ñ<150
approximate √29 as a decimal to the tenths place.
Answer:
the correct answer is 5.4
A magazine contains thirteen pages. You
open to a random page. The page number
is two or ten.
If a magazine contains thirteen pages, it means that the pages are numbered from 1 to 13. When you open the magazine to a random page, there are two possibilities for the page number: it can either be two or ten.
Page number in a magazine
In the context of a magazine, the page number refers to the physical numbering of the pages within the publication.
The page number is typically printed near the top or bottom of each page, allowing readers to navigate through the content.
In this case, if you randomly open the magazine to page two, you will find the content printed on that page. Similarly, if you randomly open the magazine to page ten, you will find different content printed on that page.
PLEASE HELP ASAPPP !!!
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{1}{2}\cdot 2^x[/tex]
Putting x = -2[tex]\frac{1}{2}\cdot \:2^{-2}=\frac{1}{2}\cdot \frac{1}{4}=\frac{1}{8}[/tex]
so
(x, f(x)) will be (-2, 1/8)
Putting x = -1[tex]\frac{1}{2}\cdot \:\:2^{-1}=\frac{1}{2}\cdot \:\frac{1}{2}=\frac{1}{4}[/tex]
so
(x, f(x)) will be (-1, 1/4)
Putting x = 0[tex]\frac{1}{2}\cdot \:2^0=\frac{1}{2}[/tex]
so
(x, f(x)) will be (0, 1/2)
Putting x = 1[tex]\frac{1}{2}\cdot \:\:2^1=2\cdot \:\frac{1}{2}=1[/tex]
so
(x, f(x)) will be (1, 1)
Putting x = 2[tex]\frac{1}{2}\cdot \:\:2^2=4\cdot \:\frac{1}{2}=2[/tex]
so
(x, f(x)) will be (2, 2)
The graph is also attached below.
write (2,4) and (1,-2) in slope intercept form
50 points!!!
What is the value of x? Enter your answer in the box.
(3x + 50)
(6x – 10)
x=
Answer:
First of all (3x + 50) is equal to (6x - 10) so (3x + 50) = (6x - 10) 3x + 50 = 6x - 10 60 = 3x 20 = x
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3x + 50)(6x + -10) = 0
Reorder the terms:
(50 + 3x)(6x + -10) = 0
Reorder the terms:
(50 + 3x)(-10 + 6x) = 0
Multiply (50 + 3x) * (-10 + 6x)
(50(-10 + 6x) + 3x * (-10 + 6x)) = 0
((-10 * 50 + 6x * 50) + 3x * (-10 + 6x)) = 0
((-500 + 300x) + 3x * (-10 + 6x)) = 0
(-500 + 300x + (-10 * 3x + 6x * 3x)) = 0
(-500 + 300x + (-30x + 18x2)) = 0
Combine like terms: 300x + -30x = 270x
(-500 + 270x + 18x2) = 0
Solving
-500 + 270x + 18x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-250 + 135x + 9x2) = 0
Factor a trinomial.
2((-50 + -3x)(5 + -3x)) = 0
What is the answer to the problem 21+40(2x-3)
Answer:
x = 1.2375 or 99/90
Step-by-step explanation:
Step 1: Distribute
21 + 40(2x - 3)
21 + 80x - 120
Step 2: Combine like terms
21 + 80x - 120
80x - 99
Step 3: Solve for x
80x - 99 + 99 = 0 + 99
80x / 80 = 99 / 80
x = 1.2375
Answer: x = 1.2375 or 99/80
Answer: -99+80x
Step-by-step explanation:
remember to always use PEMDAS
First, Multiplacation
21+40(2x-3)
21+80x-120
then add 21 to 120
-99+80x
this is the farthest you can go hope i could help please mark brainliest!
you have to loan Rs 75000 for 2 years for a purpose. if a finance company A lends money at 10% per annum compounded annually and Finance Company B lends money at 8% per annum compounded semi annually for which Finance Company will you take the loan and why give your reason with calculation
He will take the loan from Company B.
Step-by-step explanation:
Given,
For Company A
Principal (P) = Rs 75000
Time (T) = 2 years
Rate of interest (R) = 10%
For Company B
Principal (P) = Rs 75000
Time (T) = 2 years
Rate of interest (R) = 8%
To find the amount of the loan he has to pay for both the companies.
Formula
Amount =P [tex](1+\frac{R}{100} )^{T}[/tex]
Amount= P[tex](1+\frac{R}{100Xn} )^{nT}[/tex]
For Company A
Amount = 75000[tex](1+\frac{10}{100}) ^{2}[/tex] [ Here, P= 75000, T=2 and R = 10%]
= 194530 (approx)
For Company B
Amount = 75000([tex](1+\frac{8}{200} )^{4}[/tex] [ Here, P= 75000, T=2, n = 2 and R = 8%]
= 87739 (approx)
Hence,
He will take the loan from Company B, because he has to pay less money for this company.
A souvenir of the Eiffel Tower is scaled at 1/80 inch to 1 foot. If the first-story platform of the tower is 189 ft high, find the height of the first-story platform of the souvenir of the Eiffel Tower. 0.42 in 2.36 in 15,120 in 0.2 in
Answer:
2.36 in.
Step-by-step explanation:
1 foot is equivalent to 1/80 in.
So 189 feet is equivalent to 189/80 in = 2.36 in.
PLEASE ANSWERRRRRRRRR
A student is making a model of the electromagnetic spectrum.
Which text should the student use for label 1 to describe other properties of waves shown?
A. HIGH FREQUENCY, LOW ENERGY
B. LOW FREQUENCY, LOW ENERGY
C. LOW FREQUENCY, HIGH ENERGY
D. HIGH FREQUENCY, HIGH ENERGY
Yo sup??
the correct answer to this question is option B ie
low frequency and low energy because
it's wavelenght is high so it's frequency will be low and
E=hv
where v is frequency
Hope this helps
On a scale model of a shopping center, the scale is 1/3 inch to 1 foot. If the actual length of the shopping center is 144 feet, what is the length on the scale model?
Answer:
48 inches
Step-by-step explanation:
1 in = 3 ft
144/3=48