Troy has a cylindrical vase that holds exactly 1,000 cm3 of liquid. He knows that the formula for finding the volume of a cylinder is V = pir^2h
where r is the radius of the cylinder's base and h is the height of the cylinder. He also knows that his vase is 12.75 cm tall. What is the radius of
Troy's vase? Round your answer to the nearest tenth.
Answer:
5.0 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
Height,h = 12.75 cm
π = 3.14
Radius,r = r
Volume of the cylinder = 1,000 cm³
Volume of a cylinder = πr²h
1000 = 3.14 × r² × 12.75
1000 = 40.035r²
r² = 1000/40.035
r² = 24.978
r = √24.978
r = 4.99 cm
Approximately 5.0 cm
could someone please help me
Answer:
[tex] \huge \: x = 7 {0}^{o} \\ \: \huge \: y = 3 {0}^{o} \\ \huge z = {20}^{o} [/tex]Step-by-step explanation:
to understand thisyou need to know about:trianglesequationPEMDAStips and formulas:a straight line contains 180°a triangle contains 180°let's solve:equation for x
according to the question
110°+x=180°
x=180°-110°
x=70°
equation for y
according to the question
[tex]11 {0}^{o} + {40}^{o} + y = 18 {0}^{o} [/tex]
[tex]15 {0}^{o} + y = 180^{o} [/tex]
[tex]y = 18 {0}^{o} - 15 {0}^{o} [/tex]
[tex]y = 3 {0}^{o} [/tex]
equation for z
according to the question
90°+x+z=180°
90°+70°+z=180° (since x=70°)
160°+z=180°
z=180°-160°
z=20°
Answer:
X= 70
Z= 20
y= 30°
Step-by-step explanation:
Finding X:
Sum of angle in a straight line is 180
Therefore X = 180-110
Finding z:
Sum of angle in triangle is 180, and it’s a right angled triangle (90°)
Z= 180-(x+90)
Z= 180-( 70+90)
Finding y, look at the big triangle ABC:
There’s a right angle and <C is 40°,
Therefore <B is 180-(40+90)= 50°
<B= y + z
50° = 20° + y
y= 30°
Which expression is equivalent to 364ab7c9?
how to solve two step inequalities
Answer:
Solving two step inequalities
Solving Two Step Linear Inequalities. To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa.
There was 3/4 of a cake left over from a super bowl party. If you eat 2/3 of it, how much
cake did you eat?
Answer:
1/12
Step-by-step explanation:
3/4 turns to 9/12 of the cake is left before
2/3 turns to 8/12
9/12 minus 8/12 is 1/12
pls help me with this multiple choice !
Answer:
D
Step-by-step explanation:
[tex] \sin(60) = \frac{ \frac{5 \sqrt{3} }{2} }{a} \\ a = \frac{ \frac{5 \sqrt{3} }{2} }{ \sin(60) } = 5 \\ \cos(60) = \frac{b}{5} \\ b = 2.5 = \frac{5}{2} [/tex]
quadratic sequence are shown below Work out the next term.
7 11 17 25
2. The first four terms of a quadratic sequence are shown below Work out the next term.
6 12 22 36
3. The nth term of a quadratic sequence is n2 − 2n + 8 Work out the first three terms of this sequence
4. A quadratic sequence has an nth term of 2n2 + 3n − 1 Work out the value of the 6th term of the sequence
5. Asequencehasannthtermof n2−6n+7
Work out which term in the sequence has a value of 23.
6. Here are the first 5 terms of a quadratic sequence
4 11 20 31 44
Find an expression, in terms of n, for the nth term of this quadratic sequence.
7. Here are the first 5 terms of a quadratic sequence 4 10 18 28 40
Find an expression, in terms of n, for the nth term of this quadratic sequence.
8. Here are the first 5 terms of a quadratic sequence 9 17 29 45 65
Find an expression, in terms of n, for the nth term of this quadratic sequence.
9. Here is a tile.
Here is a sequence of patterns made from these tiles.
How many of these tiles are needed to make Pattern number 10?
10. The nth term of a sequence is n2 + 3n
Two consecutive terms in the sequence have a difference of 38
Work out the two terms.
11. Prove that every term in the sequence n2 − 4n + 21 is positive please help anyone
The quadratic sequence answered this way .
What are quadratic sequence?Quadratic sequences are sequences that include an term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
According to the question
Quadratic sequences are given the next term is :
1> 7 11 17 25
First difference between terms
11 - 7 = 4
17 - 11 = 6
25 - 17 = 8
Second difference between terms
6 - 4 = 2
8 - 6 = 2
Therefore, next term : First last difference + Second difference + Last Term
: 8+2 = 10
: 25 + 10 = 35
2> 6 12 22 36
First difference between terms
12 - 6 = 6
22 - 12 = 10
36 - 22 = 14
Second difference between terms
10 - 6 = 4
14 - 10 = 4
Therefore, 1st next term : First last difference + Second difference + Last Term
: 14 + 4 = 18
: 36+ 18 = 54
2nd next term : First last difference + Second difference + Last Term
: 18 + 4 = 22
: 22 + 54 = 76
3rd next term : First last difference + Second difference + Last Term
: 22 + 4 = 26
: 76 + 26 = 102
4th next term : First last difference + Second difference + Last Term
: 26 + 4 = 30
: 76 + 26 = 102
3> nth term of a quadratic sequence = [tex]n^{2} - 2n + 8[/tex]
first three terms of this sequence :
1st term of the sequence : n = 1
substituting value of n
[tex]1^{2} - 2 + 8[/tex]
= 7
2nd term of the sequence : n = 2
substituting value of n
[tex]2^{2} - 2*2 + 8[/tex]
= 8
3rd term of the sequence : n = 3
substituting value of n
[tex]3^{2} - 2*3 + 8[/tex]
= 17 - 6
= 11
4> Quadratic sequence has an nth term : [tex]2n^{2} + 3n -1[/tex]
6th term of the sequence : n = 6
substituting value of n
[tex]2(6)^{2} + 3*6 -1[/tex]
36*2 + 18 -1
= 89
5> Quadratic sequence has an nth term : [tex]n^{2} - 6n + 7[/tex]
term = 23
therefore,
23 = [tex]n^{2} - 6n + 7[/tex]
0 = [tex]n^{2} - 6n - 16[/tex]
solving the equation
[tex]n^{2} - (8-2)n - 16 = 0[/tex]
n(n- 8) + 2 (n - 8) = 0
(n-8) (n+2) = 0
n = 8 , -2
As term can not be negative , so n = 8
Therefore, term 8 of Quadratic sequence : [tex]n^{2} - 6n + 7[/tex] is 23 .
6> First 5 terms of a quadratic sequence :
4 11 20 31 44
expression for the nth term of this quadratic sequence:
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 4 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 11
4a + 2b + c = 11 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 20
9a + 3b + c = 20 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = 1 , b = 4 , c = -1
now , substituting the value in general equation
[tex]= n^{2}+4n -1[/tex]
Hence, The nth term of this quadratic sequence [tex]= n^{2}+4n -1[/tex]
7>The first 5 terms of a quadratic sequence : 4 10 18 28 40
the nth term of this quadratic sequence :
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 4 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 10
4a + 2b + c = 10 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 18
9a + 3b + c = 18 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = -4 , b = 18 , c = -10
now , substituting the value in general equation
[tex]= -4n^{2}+18n -10[/tex]
Hence, The nth term of this quadratic sequence [tex]= -4n^{2}+18n -10[/tex]
8>First 5 terms of a quadratic sequence : 9 17 29 45 65
the nth term of this quadratic sequence :
As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]
now for n= 1
a + b + c = 9 -------------------(1)
now for n= 2
[tex]a2^{2}+b*2 +c[/tex] = 17
4a + 2b + c = 17 ---------------------------(2)
now for n= 3
[tex]a3^{2}+b*3 +c[/tex] = 29
9a + 3b + c = 29 ----------------------------------(3)
solving equation (1) , (2) & (3)
a = 2 , b = 2 , c = 5
now , substituting the value in general equation
[tex]= 2n^{2}+2n +5[/tex]
Hence, The nth term of this quadratic sequence [tex]= 2n^{2}+2n +5[/tex]
9> Pattern is not given (incomplete question)
10> The nth term of a sequence is : [tex]n^{2} + 3n[/tex]
Two consecutive terms in the sequence have a difference of 38
The two terms of the sequence :
N2 - N1 = 38
substituting n as n2 and n1
[tex](N_{2}) ^{2} + 3N_{2} - (N_{1}) ^{2} - 3N_{1}[/tex] = 38
[tex](N_{2}) ^{2} - (N_{1}) ^{2} + 3N_{2} - 3N_{1} = 38[/tex]
[tex](N_{2} - N_{1} ) (N_{2} + N_{1})+ 3(N_{2} - N_{1}) = 38[/tex]
[tex](N_{2} - N_{1} ) [N_{2} + N_{1}+ 3] = 1*38\\\ (as (N_{2} - N_{1} = 1 ) consecutive terms)[/tex]
now,
[tex](N_{2} - N_{1} ) = 1 ,\\\ [N_{2} + N_{1}+ 3] = 38[/tex]
solving both equations
[tex]N_{2} =18\\ N_{1} = 17[/tex]
Hence, two terms of sequence are 18th and 17th the whose difference in 38 .
11> The sequence: [tex]n^{2} - 4n + 21[/tex]
To proof the sequence is positive always
As n cannot be negative
let n = 0
substituting the value in equation we get
+ve
As we conclude in equation +ve part is larger than -ve part always ,
so this equation is always be +ve for any value of n .
Hence, The quadratic sequence answered this way .
To know more about quadratic sequence here:
https://brainly.com/question/22412845
#SPJ2
What is the composite perimeter of this shape? I will crown anybody who answers correctly!
Write 2.673 × 10^4 as an ordinary number
2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730
How to rewrite the number?The number in scientific form is given as:
2.673 × 10^4
Express 10^4 as 10000
2.673 × 10^4 = 2.673 × 10000
Evaluate the product
2.673 × 10^4 = 26730
Hence, 2.673 × 10^4 as an ordinary number is 26730
Read more about standard forms at:
https://brainly.com/question/5756316
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!!! please help !!! i’ll mark brainlest or whatever if it’s right :)
What is the best name for the given solid figure?
A. rectangular pyramid
B. rectangular cone
C. rectangular prism
D. rectangle
Answer:
rectangular prism
Step-by-step explanation:
The area of a rectangular prism is 51 square feet. The base is 6 feet. What is it's height?
Answer fast pls!
The height is ~1.42 sqr ft
How do you write 28/50 as a percentage?
Answer: 56%
Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.
So we need to find a fraction that's equivalent
to 28/50 that has a 100 in the denominator.
To do this, we set up a proportion.
So we have 28/50 = n/100.
To find the value of n, we first find the fraction that
is equivalent to 28/50 that has a denominator of 100.
If we multiply both the numerator and denominator of
28/50 by 2, we can see that 28/50 = 56/100.
So 28/50 is equal to 56/100 or 56%.
Which set of numbers forms a right triangle
Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound
of candy.
Answer:
$0.88 per pound
Step-by-step explanation:
you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound
Give the standard form for 900.000 000 + 50 50.000 000 + 9.000 + 600 + 20 + 7
Answer:
900.000 000 + 5050.000 000 + 9.000 + 600 + 20 + 7
=900+5050+9+600+20+7=6586 is standard one
PLEASE HELP THIS IS LATE AND I DON WANNA FAIL! IF YOU CAN ANSWER AND EXPLAIN (I’ll give brainliest)
(Also don’t mind the one answer)
Answer:
Part 1: G)52% H)28% I)19% J)75% K)95%
Part 2: 88%
Step-by-step explanation: I did math stuff lol, converted the decimal into a percent
Ex: 13/25= 0.52
0.52= 52%
Answer:
g. 52%
h. 28%
i. 19%
j. 75%
k. 95%
l. 88%
Step-by-step explanation:
g. 13/25
The denominator is currently 25. We must multiply it by 4 to reach 100. By converting the denominator to 100, the numerator will give us the answer to the percentage. However, when multiplying one side of the fraction (the denominator), we must also do the same to the other side of the fraction (the numerator).
Hence:
13 × 4 / 25 × 4
52/100
Since the denominator is 100, we can confidently say the answer is 52%
h. 7/25
Multiply by the numerator and the denominator by 4 so that the denominator equals 100.
7 × 4 / 25 × 4
28/100
28%
i. 19/100
The denominator for this fraction is 100, meaning the percentage is the numerator:
19%
j. 3/4
To get from 4 to 100, we must multiply by 25. What we do to the denominator, we must do to the numerator.
3 × 25 / 4 × 25
75/100
75%
k. 19/20
In order to change the denoninator to 100, multiply the denominator by 5 (20 × 5 = 100). Multiply by 5 to the numerator too to get the percentage.
19 × 5 / 20 × 5
95/100
95%
l. Out of 25 questions, Maria answered 22 correctly. If we write this as a fraction, we would put the total number (of questions) as the denominator with the correctly answered (number of questions) as the numerator:
22/25
We have to convert the denominator to read as 100 instead of 25. To do so, we must multiply 25 by 4. Whatever we do to the denominator, we must do to the numerator which means multiply the numerator by 4 as well.
22 × 4 / 25 × 4
88/100
88%
Sebastian has 12 more trophies than Megan.megan has t trophies.how many trophies does Sebastian have
Answer:
12 + t
Hope This Helped :)
Answer:
sebastian has 12+t trophies.
Simplify: 1/2n – 1/4n + 1/3a + 1/2a
Answer:
Step-by-step explanation:
make common denominators
2/4n - 1/4n + 2/6a + 3/6a
add common equations
1/4n + 5/6a
Marcus and Mary have £30 between them. The amount of money Marcus has compared to Mary is in the ratio 1:5. How much money would Mary have?
Answer:
25
Step-by-step explanation:
30÷6=5
5×5= 25
.........
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
Looking at the angle relationship below, what is the value of x?
Q
107
x
Answer:
73 degrees.
Step-by-step explanation:
If they're on a line together, they add up to 180 degrees. You can do 180 - 107 = 73 degrees.
Apply the distributive property to create an equivalent expression.
6(3c - 5d + 6) =
Answer:
18c - 30d + 36
Step-by-step explanation:
6(3c - 5d + 6)
6 × 3c = 18c
6 × -5d = -30d
6 × 6 = 36
-8x=-56 one step help
Answer:
x=7
Step-by-step explanation:
divide both sides by -8
Answer:
Divide each term by −8 - 8 and simplify.
x = 7x = 7
I need help with this, please. Someone?
Answer:
6:8:10
Step-by-step explanation:
Please help 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 =
Answer:
1.626 and then theres a lot more numbers
Step-by-step explanation:
Answer:
1.62614012e-7
Step-by-step explanation:
this is the answer to 7/9 to the 8th power
help me or i brek all kneecap
the answer is d (x+v). hope this helps :))
Answer:break my kneecaps
Step-by-step explanation:
What is the slope of (4,4) and (-2, -1)
Need help please!!!!
Answer:
b^(-4/5) ...............
can someone help me with this problem? A game results in either a positive or a negative score for the player during each turn. One player had a total score of -288 points after nine turns. What was his average score per turn?
Answer:
He or she got around -32 points per turn.
Step-by-step explanation:
-288 points (the total) divided by the player's 9 turns equals -32. This means that they got negative 32 points on average every round.
The weight (in kg) of cubical block of ice 75 cm in length (if one cubic metre of ice weight is 80 kg) is
(1) 35
(2) 42.50
(3) 33.75
(4) 40
Answer: The weight = 33.75kg
Step-by-step explanation:
Given that
one cubic metre of ice weight is 80 kg
which is mathematically written as
1m³ of ice = 80 kg
Therefore 75 cm length of cubical block of ice =???
First
changing 75 cm to meters, we have 75/100 = 0.75 m
Volume of block = l³= 0.75³ = 0.421875m³
Given that
1m³ = 80kg
0.421875m³= 0.421875 x 80
= 33.75kg