The unfilled volume inside the cylinder is 640π cubic units
How to find unfilled volume?Volume of a cylinder = πr²h
= π × 8² × 15
= π × 64 × 15
= 960π cubic unit
h = heightr = radiusl = slant heightVolume of a cone = 1/3πr²√l² × r²
= 1/3 × π × 8² √17² × 8²
= 1/3 × π × 64 √289 × 64
= 1/3 × π × 64 √353
= 320π cubic unit
Unfilled volume = 960π cubic unit - 320π cubic unit
= 640 cubic unit
The complete question:
A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
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Answer:
640pi
Step-by-step explanation:
1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m
Answer:
560
Step-by-step explanation:
16 times 5 times 4=320
6 times 16 divide 2 then multiple 5
You can transform circle F to circle F' by translating it and then performing a dilation centered at F'. Find the translation rule and the scale factor of the dilation
The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8
How to find the transformations used?
First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.
F = (-5, 4)
F'= (3, -1)
To get the translation we take the difference between the two centers:
F' - F = (3, -1) - (-5, 4) = (8, -5)
So the translation moves 8 units to the right and 5 units downwards.
To get the dilation we need to find the quotient between the radius of F' and the radius of F.
This is:
k = 4/5 = 0.8
So the scale factor is 0.8
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Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Answer:
7(5-2)+6
Step-by-step explanation:
difference - subtraction
putting the 7 next to it means that it will multiply times that first
Which of the following statements is true?
A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome
B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.
C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome
D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome
Answer:
B
Step-by-step explanation:
first of all articles are perfect and there is . sign at the last of the sentence
Jeff sells shirts at a store in the mall. Which group should he survey to determine which color of shirt will have the greatest number sold?
Female customers
customers who are wearing blue
200 random customers
10 friends at work
The 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
Jeff sells shirts at a store in the mall.
The selecting the colour of the shirts is subjective.
It also depends on that how many colours that store sell.
Female customers cannot be an option because men also buy shirts and affect the result of the survey.
Customers who are wearing blue data only tells that how many blue shirts sold.
200 random customers. 200 is a sample from a population, so it will give appropriate results about the colour of shirt will have the greatest number sold
Thus, the 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.
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How can you use a single measure to describe a data set?
Answer:
There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.
Step-by-step explanation:
A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.
Solve for x. Round to the nearest tenth.
Answer:
x = 25.84
Step-by-step explanation:
Secx = hyp /adj
Secx = 30/27
x = ArcSec(30/27)
x = 25.84
please answer this question
Answer:
[tex]a_n=3n-2[/tex]
Step-by-step explanation:
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth term[tex]a[/tex] is the first term[tex]d[/tex] is the common difference between termsCreate expressions for the 4th and 6th terms:
[tex]\implies a_4=a+(4-1)d=a+3d[/tex]
[tex]\implies a_6=a+(6-1)d=a+5d[/tex]
The ratio of the 4th term to the 6th term is 5:8, therefore:
[tex]\implies \dfrac{a_4}{a_6}=\dfrac{5}{8}[/tex]
[tex]\implies \dfrac{a+3d}{a+5d}=\dfrac{5}{8}[/tex]
[tex]\implies 8(a+3d)=5(a+5d)[/tex]
[tex]\implies 8a+24d=5a+25d[/tex]
[tex]\implies 8a-5a=25d-24d[/tex]
[tex]\implies 3a=d \quad \leftarrow \textsf{Equation 1}[/tex]
Sum of the first n terms of an arithmetic series:
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
The sum of the first 7 terms of an arithmetic progression is 70:
[tex]\implies S_7=70[/tex]
[tex]\implies \dfrac{7}{2}[2a+(7-1)d]=70[/tex]
[tex]\implies 2a+6d=20[/tex]
[tex]\implies a+3d=10 \quad \leftarrow \textsf{Equation 2}[/tex]
Substitute Equation 1 into Equation 2 and solve for [tex]a[/tex]:
[tex]\implies a+3(3a)=10[/tex]
[tex]\implies a+9a=10[/tex]
[tex]\implies 10a=10[/tex]
[tex]\implies a=1[/tex]
Substitute found value of [tex]a[/tex] into Equation 1 and solve for [tex]d[/tex]:
[tex]\implies 3(1)=d[/tex]
[tex]\implies d=3[/tex]
Finally, substitute found values of [tex]a[/tex] and [tex]d[/tex] into the general form of the arithmetic sequence:
[tex]\implies a_n=1+(n-1)3[/tex]
[tex]\implies a_n=1+3n-3[/tex]
[tex]\implies a_n=3n-2[/tex]
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
2 StartRoot 15 pi EndRoot
4 StartRoot 5 pi EndRoot
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Answer:
C) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFractionStep-by-step explanation:
Given circle with area of:
A = 60 cm²Find its radius
A = πr² ⇒ A/π = r² ⇒ √(A/π) = r ⇒ r = √(A/π)Substitute the values and find the value of r:
r = √(60/π) = 2√(15/π) = 2√(15π) / πNow compare this with answer choices:
A) 2 StartRoot 15 pi EndRoot ⇒ 2√(15π), incorrectB) 4 StartRoot 5 pi EndRoot ⇒ 4√(5π), incorrectC) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction ⇒ 2√(15π) / π, correctD) StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction ⇒ 4√(5π) / π, incorrectAnswer:
c
Step-by-step explanation:
The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.
Answer:
3 cm
Step-by-step explanation:
Formula :
Area = 1/2 x Base x HeightGiven :
Area = 7.5 cmBase = 5 cmSolving :
Height = 7.5/5 x 2Height = 3 cmthe coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are
Answer:
1, 5, 10, 10, 5, 1
Step-by-step explanation:
The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...
1, 5, 10, 10, 5, 1
__
Algebraically, they are computed using the formula for 5 things taken k at a time:
5!/(k!(5-k)!)
Use the graph to determine the function’s DOMAIN and RANGE
Answer:
Domain = x ≥ 0
Range = f( x ) ≥ 1
Step-by-step explanation:
The graph starts from 0 in the x - axis and 1 in the y hence the given domain and range.
The product of a 25 and a number, increase by 8 is 68. find the number.
Answer:
2.4
Step-by-step explanation:
set up an equation to find x, the number.
[tex]25x+8=68[/tex]
subtract 8 from both sides
[tex]25x=60[/tex]
divide both sides by 25 to get x (the variable) alone
[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]
A bakery had 953 bags of suger a baker used 32 of these bags to make pies how many bags does the bakery stil have?
Answer: 921 bags
Step-by-step explanation:
We will subtract bags used from the total number of bags.
953 - 32 = 921
The bakery still has 921 bags of sugar.
A popcorn concessionaire has 25pounds of popcorn kernel. if he uses 1/4 pound of kernels for every bag he sells, how many bags of popcorn can he make?
Answer:
6.25 bags of popcorn
Answer:
6.25 Bags
or
6 whole bags
Step-by-step explanation:
= 25 * 0.25 <-- (This is how you write percentage algebraically)
= 6.25 Bags
5 STARS FOR A CORRECT ANSWER IMAGE ATTACHED can anyone please answer this or how i find the weighted mean?
So, basically this is the formula to calculate weight mean.
Thank you.
Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4
Step-by-step explanation:
this is the answer
hope it help
find tan (0) from sin 0= 7/9
Step-by-step explanation:
First, use the Pythagorean theorem to find cos x.
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]
[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]
[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]
Now, use the quotient identity
[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]
[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]
[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]
The answer is A
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
35
840
1,680
2,620
Answer: b=840
Step-by-step explanation:
edge 2022
do good on your tests !!
There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
ⁿPₓ = n! / (n - x)!
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
There is no difference. So, 7 people can be sit in different ways as;
ⁿPₓ = n! / (n - x)!
⁷P₄ = 7! / (7 - 4)!
= 7! / 3!
= 840
So, the correct answer is, 840
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Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?
Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,
Number of keychains>(40/2.50)
Number of keychains > 16
Thus, Wyatt needs to sell at least 17 keychains.
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Answer:
Step-by-step explanation:
17
Brainly for the one who help me
Answer:
the 3rd choice
Step-by-step explanation:
need help due in 10 mins
Answer:
A) The amount of money deposited monthly
Step-by-step explanation:
y = 35x (slope) (amount deposited each month)+ 250 (y-intercept) (starting amount)
Please help asap.Thanks
Ratio & rate graphs:
A commercial airplane is flying at a rate of 15 miles every 2 minutes.
Complete the table.
Minutes: 2,___, 6, 10
Miles flown: 15, 30,___,___
Answer:
4, 45, 75
Step-by-step explanation:
15 miles per 2 min = 7.5 miles per 1 min
2 min = 15 min
4 min = 30 min
6 min = 45 min
10 min = 75 min
A pedestrian walks 7.4 kilometers west
and then 9.2 kilometers south.
What is the magnitude of the
pedestrian's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below
[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
How to determine the amount of rose petals left?The given parameters are:
Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kgThe amount left is the difference between the amount purchased and the amount used.
So, we have:
Remaining = 0.454 + 0.056 - 0.02 - 0.095
Evaluate
Remaining = 0.395
This means that the remaining amount is 0.395kg, not 0.413 kg
Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
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Answer: she is left with 0.395 kilogram of rose pedals
Step-by-step explanation: she misalinged the first step,
0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395
Find X
A = 49
B = 27
C = 98
D = 76
Answer:
C=98°
Step-by-step explanation:
125°- 27°
=98°
At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?
Answer:
The correct answer is:
P(nuts)=7/9
Step-by-step explanation:
The experimental probability that the next sundae sold will have nuts is
7/9
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting the experimental probability of occurrence of E.
We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.
Therefore,
Probability that the next sundae has nuts is 14/18 = 7/9.
Thus, Probability that the next sundae does not have nuts = 2/9
P(nuts)=7/9
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Six people want to share five boxes of raisins. How many boxes of raisins will each person get?
5/6 or 0.83 boxes of raisins
Help me pretty please!
Answer:
g
Step-by-step explanation:
Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]
To solve this equation, let's apply the distributive property:-
Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-
[tex]\tt 3x - 3=15 - 20x+8[/tex]
Add 15 and 8 = 23
[tex]\tt 3x - 3=23 - 20x[/tex]
Now, add 20x to both sides:-
[tex]\tt 3x - 3=23 - 20x[/tex]
Combine like terms:-
[tex]\tt 23x-3=23[/tex]
Add 3 to both sides:-
[tex]\tt 23x=23+3[/tex]
[tex] \tt 23x=26[/tex]
Divide both sides by 23:-
[tex]\tt \: x = \dfrac{26}{23} [/tex]
- :)