The triangle is rotated about an axis then it creates a cone and the approximate circumference of the base is 63 mm. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The equilateral triangle shown is rotated about line a.
Each side of the triangle measures 20 mm.
If the triangle is rotated about an axis then it creates a cone.
Then the radius of the cone will be
[tex]\rm r = \dfrac{20}{2} = 10 \ mm[/tex]
Then the height of the cone will be
[tex]\rm h = 20 \sin 60^o\\\\h = 17.32 \ mm[/tex]
Then the circumference of the base circle will be given as
[tex]\rm Circumference = 2 \pi r\\\\Circumference = 2 \pi \times 10\\\\Circumference = 62.8318 \approx 63 \ mm[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
C. A cone with a base circumference of about 63 mm !!!
Step-by-step explanation:
Correct on Edge2022 <3
Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)
Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.
The parameters are given as follows:
[tex]\overline{x} = 78, s = 10, n = 4[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]
The 95% confidence interval is (71.63, 84.36).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
(62.09, 93.91)
Step-by-step explanation:
The correct answer on Khan
How many lines of symmetry does the figure have?
Will mark brainlyest!
4
hope it helps....!!!!
Need help with this problem
Answer:
44
Step-by-step explanation:
i done this
If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?
Answer:
+6
Step-by-step explanation:
8x+2y=2so,
-3(8x+2y)
-3(-2)
-3×-2
remember -×- is a + so,
the answer is +6
Answer:
6Step-by-step explanation:
Given
8x + 2y = -2Multiply both sides by -3
-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)
Answer:
3x + 6.
Step-by-step explanation:
That would be x + x +2 + x + 4
= 3x + 6.
Verify this by adding 7 9 and 11:
7 + 9 + 11 = 27
3(7) + 6 = 21 + 6 = 27.
Which graph best represents the solution set of -4x ≤ 6y − 54?
Answer:
a
Step-by-step explanation:
if its the same one i saw, the answer is a :)
6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Which equation results from taking the square root of both sides of (x 9)2 = 25?
The values of the x when the square root is taken on both sides are negative 4 and negative 14.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The equation is given below.
(x + 9)² = 25
Taking square root on both sides, then we have
(x + 9) = ±5
When the positive sign is considered, then we have
x + 9 = 5
x = -4
When the negative sign is considered, then we have
x + 9 = -5
x = -14
More about the Algebra link is given below.
https://brainly.com/question/953809
What is the cube root?
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
Answer:
4 / 5
Step-by-step explanation:
∛( 64 / 125 )
= ∛64 / ∛125
64 can be simplified as 4 x 4 x 4.
∛64
= ∛ ( 4 x 4 x 4 )
= 4
125 can be written as 5 x 5 x 5.
∛125
= ∛ ( 5 x 5 x 5 )
= 5
∛ ( 64 / 125 ) = 4 / 5
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?
Answer: 19.5ft
Step-by-step explanation: L represents length and b represents width or breadth
Find the stepsteps in the file.
PLEASE HELP ME WITH THIS
Select the correct answer.
Function w is a nonlinear function. Which representation could represent function w?
Answer:
D
Step-by-step explanation:
ABC are linear so it has to be d
Write the inverse of 6x + 8y= 13 in f-1 (x) notation.
Answer:
Step-by-step explanation:
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f^-1(x)) / 8
8x = 13 - 6f^-1(x)
6f^-1(x) + 8x = 13
f^-1(x) = (13 - 8x) / 6
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
how do i solve this exponential equation
Answer:
x = 0 or 1/2
Step-by-step explanation:
Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.
__
[tex]3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}[/tex]
_____
Additional comment
A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.
A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?
Answer:
$20
Step-by-step explanation:
revenue would be price * quantity
p ( 120-3p)
-3p^2 + 120p = revenue max will occur at p = - b/2a = - 120/((2)(-3))
p max rev = 20
what is is a true statement?
Answer:
The Second option, all parallelagrams are quadralatterals.
Step-by-step explanation:
because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.
Please help me, I will mark a brainiest
Answer:
..... :P
Step-by-step explanation:
I'm not sure man try asking a tutor
A company has total sales in 2018 of $500,000 and expects sales to grow at a compounded annual rate of 3% each year for the next several years. What will sales be in 2020?
a) $515,000
b) $530,450
c) $ 546,363
A group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two-way table. a = b = c = d = e =
Answer:
a = 13, b = 28, c = 6, d = 22, e = 31
Step-by-step explanation:
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said
Kyra had a sheet of stickers. She gave 5/8 of the sheet of stickers to Phil. She gave 2/8 of the sheet of stickers to Lisa. What fraction of the sheet of stickers did Kyra give to Phil and Lisa in all?
Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30
Answer:
D
Step-by-step explanation:
(z + 6)(2z² + 3z + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis
= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms
= 2z³ + 15z² + 23z + 30
How do I find the measures of angles a,b, and c. I included a picture
Which digit correctly completes the
comparison below?
21.851 < 21.?05
A. O
B. 5
C. 8
D. 9
Answer:
D. 9
Step-by-step explanation:
All the other answers are lower than 8.
please help!
what are the angle measures of a and s?
Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
A walk-in path BE in a park intersects two sides of the park at their midpoint. You walk from point D to E , from E to B, from B toC, and back to point D. How many yards did you walk
See attached image.
No measurements were given for the park, so I made an assumption to demonstrate how the calculation might be done,. Adjust for the actual measurements.
A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53
Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.
Answer:
let's see....
lil info about elimination method:
it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.
look at -6 in the first equation and the other -6 below it in the second equation.
if you have something like that, then just look for a symbol like - or + that will eliminate them
so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.
so x cannot be negative...
so x = -2.
( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)
I hope this helps
9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?
Volume of the box = 5.2 × 9.6 × 6
= 299.52 ≈ 300 cm³ (approx)