HELP
Vaughn is calculating the volume of the cylinder below using the following work.
51 cm
24 cm
V = 3.14(12)(5)
= 3.14(144) (5)
= 2,260.8 cm
What was Vaughn's first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and
5.
He used the wrong units in his final answer.
Answers
Answer:
He confused the height and diameter
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 2.5 cm
Height of the cylinder, h = 24 cm
The volume of the cylinder is given by the formula as follows :
[tex]V=\pi r^2 h\\\\=3.14\times (2.5)^2\times 24\\\\=471\ cm^3[/tex]
Vaughn is confused in diameter and the height of the cylinder. He takes radius as 12 cm and height as 5 cm which is wrong. Hence, the correct option is (a).
Related Questions
Can someone plz help me on this plz I beg u
Answers
Answer:
8
Step-by-step explanation:
So, lets go over a few things:
First off, all triangles have a total angle of 180 degrees.
Secondly, we know that the first two angles are 57 and 51.
Thirdly, we know that the missing angle is 9x
To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.
So, add together the two angles we know:
57+51
=
108
So we know 108 degrees of our triangle. We must find whats left of the 180.
To do this, subtract 108 from 180:
180-108
=
72
So our remaining angle is 72 degrres.
But recall that x isnt the misisng angle, 9x is.
So, to get x on its own, we must divide both the missing angle and 9x by 9:
72=9x
--- ---
9 9
=
8=1x
So now we know that x equals 8.
I hope this helps! :)
Answer:
X = 8
Step-by-step explanation:
Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.
180 = 51 + 57 + 9x we are going to simplify the equation by solving what we can
180 = 108 + 9x * Now we will isolate x
180 - 108 = 9x * Solve the left side of the equation
72 = 9x * Divide both sides by 9
8 = x
Giving brainliest awnser if you help me with this
Answers
The radius of a circle is 6 inches. What is the circle's area?
Use 3.14 for'a.
square inches
Submit
Answers
Answer:
113.04 in^2
Step-by-step explanation:
6^2×3.14=113.04 in^2
Answer:
113.04
Step-by-step explanation:
3.14 x (6x6) = 113.04
the value of the underlined digit in 4,596 is how many times the value of the underlined
--
digit in 481
--
a. 10
b.40
c.100
d.400
e.4,000
Answers
At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which expression represents how much the temperature changed? A. (191 B. |-191 C. |-301 D. |-381
if anyone wants to answer my last 2 questions I would really appreciate
Answers
Answer: -30
Step-by-step explanation:
My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.
#[tex]AnimePower[/tex]
Jessica purchased 30 dolls and play trucks for the play school. Each doll costs $5 and each playtruck costs $10. How many dolls
and play trucks did she buy for $200?
Answers
Answer:
16 dolls and 12 trucks
Step-by-step explanation:
simple math
Factor the GCF: 30a3b4 + 20a2b2 - 15ab3. Please help
Answers
Answer:
The GCF for the variable part is ab².
GCFVariable=ab²
Multiply the GCF of the numerical part 5 and the GCF of the variable part ab².
5ab²
Step-by-step explanation:
How can Aundria be sure that she gets a random sample for her study of average shoe size of 7th graders?
Answers
Answer:
search onthe perfect form thrre
Would you rather have a family of 12 children or never be able to have children at all?
Answers
Answer:
NO children. Because too many kids could make me stressed out. and I dont wanna be stressed out. I may be able to handle 1 or 2 kids but 12? nah imma be stressed and may think suici.d.e thoughts.
Step-by-step explanation:
Answer:
never be able to have children at all
Step-by-step explanation:
what is the equation of the line with m=-2 and b=5?
Answers
Answer:y=-2x+5
Step-by-step explanation:
The m will represent the slope so the slope would be -2x
the B represents the y intercept which 5.
so the equation would look like this
y=-2x+5
Answer:
y = -2x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b where m is slope and b is the y-intercept
Graph below of equation
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answers
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
Calculate the average rate of change of f(x)=x²-1/x-4 for 2≤x≤6.
Answers
Answer:
3/140 or 0.0214
Step-by-step explanation:
[f(2) - f(6)] / 2-6
f(2) = -3/2
f(6) = 35/2
-3/2 ÷ 35/2 = -3/2 × 2/35
= -6/70 or -3/35 (simplified)
-3/35 ÷ -4 = -3/35 × -1/4
= 3/140
Randy Elks purchased 3,000 shares of a juice company stock at $50.10
per share. His broker charges $30.50 for fewer than 2,000 shares, or
$0.03 per share for 2,000 or more shares. What is the total cost of the
stock?
Answers
Answer is: $150,390. Hope this helps! This is my first answer to a question.
Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation of 8. The developer of the test claims that the population standard deviation of 15. Do these data provide sufficient evidence to significance? Use =0.05α=0.05 . Test by using a confidence interval. Show step1-step3.
Answers
Answer:
Yes, the data provides sufficient evidence at 0.05 level of significance
Step-by-step explanation:
n = 25
s = 8
σ = 15
χ² = (n - 1)s² / σ²
χ² = (25 - 1)*8² / 15²
χ² = (24 * 64) / 225
χ² = 6.827
The critical value at 0.05 ; df = 25 - 1 = 24
12.4012 and 39.3641
Reject H0 if χ² < 12.4012 or if χ² > 39.3641
Since,
χ² < 12.4012 ; We reject H0 ;
the perimeter of a square is 32cm. find the area
Answers
Answer:
64 cm
Step-by-step explanation:
If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8
Each side equals 8. 8•8=64 The area is 64cm.
what is the volume of the figure shown? explain how you solved the problem.
Answers
Answer:
840
Step-by-step explanation:
To find the volume of a rectangular prism, you do length * height * width
The height for both of the figures are 6
The length is 10 for both of the figure
The width for the bottom figure is 9 and for the top, the width is 5
First solve the top one
5 * 6 = 30
30 * 10 = 300
So the volume for the top figure is 300
The solve the bottom figure with the same formula
6 * 9 = 54
54 * 10 = 540
So the volume for the bottom figure is 540
Finally add them together
300 + 540 = 840
Your answer is 840
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Answers
explanation:
a=(pi)r^2
a=(3.14)[(13/2)^2]
a=132.665
On a trip you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will you get for 300 dollars?
A)60
B)210
C)429
D)540
**all pounds**
Answers
Answer:
B. 210
Step-by-step explanation:
800/560 = 1.42857142857
300/1.42857142857= 210
Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and require an area of 2,025 ft2. Two individual adjacent enclosures would be rectangular, with dimensions 20 ft by 40 ft with a 40 ft divider between the two enclosures. A square and a rectangle are shown. The square has an area of 2,025 feet squared. The rectangle is comprised of 2 rectangles that are 20 by 40 feet long. Which statement explains the design Maria should choose to minimize her costs
Answers
Answer:
A. The singular enclosure would minimize cost because it requires 180 feet of fencing.
Step-by-step explanation:
Given
Single enclosure
[tex]Area = 2025ft^2[/tex] --- of square
Two adjacent enclosures
[tex]Dimension= 20ft\ by\ 40ft[/tex] ---- both rectangles
[tex]Divider = 40ft[/tex]
Required
Determine the true statement to minimize cost
Start by calculating the perimeter of the single enclosure.
Let
[tex]l \to[/tex] length of the enclosure (square shape)
So:
[tex]Area = l^2[/tex]
[tex]2025 = l^2[/tex]
Rewrite as:
[tex]l^2 = 2025[/tex]
Take square roots
[tex]l = 45[/tex]
The perimeter (P) is then calculated as:
[tex]P = 4l[/tex]
[tex]P = 4 * 45[/tex]
[tex]P_1 = 180ft[/tex]
Next, the perimeter of the two enclosures.
Let
[tex]l \to[/tex] length of the enclosure
[tex]w \to[/tex] width of the enclosure
[tex]l = 20[/tex]
[tex]w =40[/tex]
The perimeter of 1 enclosure is:
[tex]P = 2(l + w)[/tex]
[tex]P = 2(20 + 40)[/tex]
[tex]P = 2*60[/tex]
[tex]P = 120[/tex]
For 2 enclosures
[tex]P_2 =2 * P[/tex]
[tex]P_2 =2 * 120[/tex]
[tex]P_2 =240[/tex]
Remove the length of the divider
[tex]P_2 = 240 - 40[/tex]
[tex]P_2 = 200ft[/tex]
By comparison;
[tex]P_1 < P_2[/tex]
i.e.
[tex]180ft < 200ft[/tex]
Hence, the singular enclosure will minimize costs
Answer:
A
Step-by-step explanation:
HELP I WILL GIVE BRANLIEST
Help pls<3
Answers
Answer:
14 + 11
Step-by-step explanation:
Answer:
2 x 10 + 5
Step-by-step explanation:
The function F is defined by F(x)= 12/x + 1/2
Use this formula to
find the following values of the function:
F(k)
F(a/2)
F(x-1)
F(2x+3)
F(x+h)
Answers
Answer:
F(2x+3) = 12/(2x+3) +1/2
Step-by-step explanation:
Put the argument of the function where the variable is. You can simplify if you want, but the original function definition is not simplified, so we assume it is not required.
F(x) = 12/x + 1/2
Put (2x+3) where x is:
F(2x+3) = 12/(2x+3) + 1/2
12/k+1/2
24/a+1/2
12/x-1+1/2
12/2x+3+1/2
Answers should be correct, respectively (to the order of ur questions)
What is one thing that you learned in math in this past year that you were proud to have accomplished? Take a few sentences to tell me about it.
Answers
Answer:
absolutely nothing
Step-by-step explanation:
lol im joking but i have learned how to use a bar model and how to use a x and y axis
Answer:
Well, I think my best accomplishment was being able to pass Algebra, I don't think I would be where I am had I not had the best teacher in the world, and honestly I thank her so much for having the patients to deal with me, an anxiety filled ADHD, hyper teen
Step-by-step explanation:
Which graph is the graph of f(x)= x-1/x+2
Answers
Answer:
Step-by-step explanation:
Right bottom answer
The graph that represents the function f(x) = x - 1/x + 2 is graph (d)
How to determine the graph of the equation?The equation of the function is given s:
f(x) = x - 1/x + 2
The above function is a rational function, and it has its asymptotes at y = 2 and x = -2
From the list of given options, the graph d (bottom right) has its asymptotes at y = 2 and x = -2
Hence, the graph that represents the function f(x) = x - 1/x + 2 is graph (d)
Read more about functions and graphs at:
https://brainly.com/question/4025726
#SPJ2
Which word BEST describes the 2 in the expression 2x + 3?
Answers
Answer:
2 in the expression is the coefficient of x
Answer:
2 would be the coefficient
pls mark branliest :)
Can someone plz help me with this one problem plzzzzz!!!
Answers
the lowest common multiple of 9, 6 and 4 is? i just need numbers :)
Answers
Answer:
I think its 36
Step-by-step explanation:
Which function has real zeros at x = –8 and x = 5?
g(x) = x2 + 3x – 40
g(x) = x2 + 3x + 40
g(x) = x2 + 14x – 40
g(x) = x2 + 14x + 40
Answers
Answer:
option B is the answer . thank me later , you guys are lame
can you solve 3(x+1)-5 = 3x-2 for me ?
Answers
Have a nice day! :3
find the circumference of the pizza to the nearest tenth (10in)
Answers
Answer:
31.4in
Step-by-step explanation:
In order to solve this, we need to know that circumference of a circle is equal to its diameter times "pi" (a mathematical constant). So we just do...
(π)(10in) ≅ 31.4in (rounded to the nearest tenth)
problem of volume that equals 1
Answers
Answer:
l=1
b =1
h=1
vol=l×b×h
=1×1×1
=1
