It will take 24 cones to fill the cylinder.
so you have a cylinder and you have a cone. The radius of the base of the cylinder is 10cm And its height is 20 cm. A cone is used to fill the cylinder with water. The cone's base, the radius of the cone space. Okay good. Is five centimeters And his height is 10 cm. The number of times one needs to use the cone to completely fill the cylinder of water. So let's find the volume. The volume of a cylinder is the area of the base times the height. So this is pi r squared times the height. I'm going to leave it in units of pie. So r squared is 100, 100 times 20 is 2000. So this is 2000 bye. The volume of a cone is 1/3 area of the base times the height Which is 1 3rd pi R squared. H. So Ah this is not going to be an even number, but that's fine. Five times five is 25, 25 times 10 is 250. So this volume is 250 over three pi And we need to know how many cones give us a cylinder. So we have 250 over three pi times the number of cones Will give us 2000 pi. So pi is on both sides. It cancels which is why I left it in units of pie. Multiply 3 to both sides. So this is 250 and is equal to 6000 6000 divided by 250 is 24. So it will take 24 cones to fill the cylinder
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Identify a pattern in each list of numbers. Then use this pattern to find the next number.
5, 12, 33, 96, 285, ___
=====================================================
Explanation:
The given sequence is 5, 12, 33, 96, 285, ...
The jump from 5 to 12 is +7The jump from 12 to 33 is +21The jump from 33 to 96 is +63The jump from 96 to 285 is +189The sequence of increases is: 7, 21, 63, 189
Then notice,
The jump from 7 to 21 is "times 3"The jump from 21 to 63 is also "times 3"The jump from 63 to 189 is also "times 3".Assuming this pattern keeps up, the next increment will be 189*3 = 567
We add this increment to the last term of the original sequence
285+567 = 852
The sequence is now 5, 12, 33, 96, 285, 852, ...
HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
Rewrite -4/15 as an equivalent fraction
[tex](\frac{-4}{5} )[/tex] in the form of Equivalent Fraction can be written as [tex]\frac{-4x}{15x}[/tex], where "x" is any integer.
As per the question statement, we are provided with a fraction, [tex](\frac{-4}{5} )[/tex].
We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.
To solve this question, we need to know what an equivalent fraction is.
Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.
For example, [tex](\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})[/tex] all equate to [tex]\frac{1}{2}[/tex] when simplified.
Now, for this case, equivalent fractions of [tex](\frac{-4}{5} )[/tex] are [tex](\frac{-8}{30}, \frac{-12}{45}, \frac{-16}{60},...)[/tex], where
[tex]\frac{-8}{30}=\frac{(-4)*2}{15*2}\\\frac{-12}{45}=\frac{(-4)*3}{15*3}\\ \frac{-16}{60}=\frac{(-4)*4}{15*4}[/tex]
i.e., the equivalent fractions of [tex](\frac{-4}{5} )[/tex] are in the form of [tex]\frac{-4x}{15x}[/tex], where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)
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angle EFG and angle GFH are a linear pair, angle EFG=2n + 25 and angle GFH=4n + 17 what are angles EFG and GFH?
The angles EFG and GFH are 71 and 109 degrees
How to determine the angles EFG and GFH?The given parameters are:
EFG =2n + 25
GFH = 4n + 17
Linear pair angles are supplementary angles
So,we have
2n + 25 +4n + 17 = 180
Evaluate the like terms
6n= 138
Divide by 6
n = 23
Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17
EFG = 2 * 23 + 25 =71
GFH = 4 * 23 + 17 = 109
Hence, the angles EFG and GFH are 71 and 109 degrees
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If the number 12,345x is divisible by 11, the lest digit of x must be....
Answer:
The last digit you multiplied by.
Step-by-step explanation:
It's not that hard, but here you go :)
If you multiplied 12 by 11 you would get 2 as your last digit, because 2 is the last digit of 12. (12x11=132)
So for 123 by 11, following this pattern, 3 is the last digit of 123 so the answer must end in 3. (123x11=1353)
If you still don't get the pattern I'll give you a few more examples here:
If you multiply 1234 by 11 you would get a number ending in 4 because the last digit of 1234 is 4! (1234x11=13574)
So what would be the last digit of 12345?
Hope this was helpful!
(The answer was 5 btw)
Pls Help me please!!
If it is given that m ∠ J K L = m ∠ X Y Z and m ∠ X Y Z = m ∠ Q R S , then concluding that m ∠ J K L = m ∠ Q R S is an example of:
Concluding that m∠ J K L = m ∠ Q R S is an example of: substitution property of equality
What is Substitution Property of Equality?The substitution property of equality states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any equation/expression and y can be substituted in place of x in any equation/expression.
Now, we are told that m ∠ J K L = m ∠ X Y Z and m ∠ X Y Z = m ∠ Q R S.
Thus, concluding that m ∠ J K L = m ∠ Q R S is an example of: substitution property of equality
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April wants to borrow $200 from her father and is willing to pay $9 in Interest. Her father wants to charge an interest rate of 6%. How long can April keep the money?
Answer:
principle (p)= $200
interest (I) =$9
Rate (R) = 6%
time (T)= ?
we know,
Time(T) = I×100÷P×R
= 9×100÷ 200×6
= 3÷4 years
According to the bar chart, Alphabet's revenue in 2011 was 37,905 million dollars. Write Alphabet's 2011
revenue in ordinary notation.
thirty-seven billion nine hundred five million
Answer:
hskekndndndokn jskjskiwijsnjskjskiwijsn kkskskskjd kdkdkdndndn
Step-by-step explanation:
Can someone please help me with This question? I don’t understand it. Please and thank you I would really appreciate it!! :)
(A∩B)∪(A∩C) using roster method is as follows:
(A∩B)∪(A∩C) = {a, e, f}
What are sets?Sets are an organized collection of objects that can be represented in set-builder form or roster form.
Therefore,
The universal sets is as follows:
U = {a, b, c, d, e, f, g, h}
The subsets are as follows:
A = {c, e, f}
B = {a, e, f}
C = {a, b, d, g, h}
Therefore, let's find (A∩B)∪(A∩C) using roster method.
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
Hence,
(A∩B) = {e, f}
(A∩C) = {a}
Finally,
(A∩B)∪(A∩C) = {a, e, f}
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what is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1
Answer: 24
A hyperbola is the locus of a point in a plane which moves in the plane in such a way that the ratio of its distance from a fixed point in the same plane to its distance from a fixed line is always constant, which is always greater than unity.
the fixed point is called the focus and the fixed line is directrix and the ratio is the eccentricity.
The general equation for the vertical hyperbola is
[ (y-k)^2 / a^2 ] – [ (x-h)^2 / b^2 ] = 1
The conjugate axis of the vertical hyperbola is y = k
Length of the conjugate axis = 2b
According to the question k = 2, h = -1, a = 4, b = 12
Length of the conjugate axis = 2b = 2 * 12 = 24
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Perform the indicated operation
7 1/8 ∙ 5 2/3
26. Julie says that sin A/cos A = tan A and sin B / cos B = tan B. Use the triangle shown to prove
Julie's statements true or false. Make sure you enter your work
-confused as to what this even means.
Julie is correct because:
[tex]\frac{\sin A}{\tan A}=\frac{a/c}{b/c}=a/b=\tan A \\ \\ \frac{\sin B}{\cos B}=\frac{b/c}{a/c}=b/a =\tan B[/tex]
Please list the intercepts I need help!
Answer:
{(5,1),(5,0),(1,0),(0,-3),(-3,0),(-4,-3),(2,5)}
Step-by-step explanation:
This is all I could get from the cropped out picture of the graph
(100 points!) What is the slope-intercept form for the following equation?
x + 5y = 12
Questions:
x= 5y + 12
y= -1/5x + 12/5
x + 5y = 12x
5y= −x + 12
Answer:
the slope intercept form is 5y= -x+12
In a room, 9 students have glasses on, while 15 do not. Give the percentage of students wearing glasses. (Round to the nearest tenth of a percent)
Work Shown:
9+15 = 24 students total
9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.
Given: Triangle ABC
Prove: mA = 64°
A
(4x)
B
(90)
C
(x+10)
For the given triangle ABC, the value of angle A = 64°.
What is defined as the triangle?A triangle is a two-dimensional closed shape. It has three sides and is a polygon. Straight lines make up all of the sides. The vertex is the intersection of two straight lines. As a result, the triangle does have three vertices. Each vertex creates an angle.A triangle is made up of three angles. These angles are made up of two triangle sides meeting at a main point recognized as the vertex. The total of all 3 interior angles is 180 degrees.For the given ΔABC;
∠A = 4x
∠B = 90
∠C = x + 10
By the sum of angles of triangle property;
∠A + ∠B +∠C = 180
Substitute the values;
4x + 90 + x + 10 = 180
Simplifying the equation;
5x = 180 - 100
5x = 80
x = 16
Put the value of x in angle A.
∠A = 4x
∠A = 4×16
∠A = 64°
Therefore, the value of angle A is found as 64°.
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What is the factored form of x2−9
Answer:
(x+3)(x-3)
Step-by-step explanation:
When factoring x^2-9 you'd look for square multiples of -9.
Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)
Hey bestieee!!!
What is a^2 + 3b
When a = 2
And b = 3
Answer:13
Step-by-step explanation:(2)²+3(3)=4+9=13
Answer:
2a^n+ 3b
Differentiate w.r.t a
2na^n - 1
= 13
how to solve this ; 4(x + y) = 48
Answer:
Step-by-step explanation:
First I would begin by dividing both sides by 4
4(x+y) = 48 4/4 = 1 48/4 = 12
x + y = 12
next I'm going to assume this is needed in y = mx+b format so I will solve for y by subtracting the x:
y = -x + 12
this line has a slope of -1 and has a y-intercept at 12.
Evaluate h(r) given that h(t) = 6 - 18t. h(r) =
This problem is related to the formation of a function. We need to know how an function is formed. Here it is given that there is a function which is affected by the value of t. Which means the value of t in the function decides the value of that function.
Similarly we have to write the function as the variable r so that the value of function is related to the value of r.
h(r)=6-18r ; where 6 is the constant and 18r is the variable in the function.
Hence, the required function is h(r)=6-18r.
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refer to the number line. find the coordinate of point C that is 7/8 of the distance from m to j. m = 2 , j=18
The coordinate of point C that is 7/8 of the distance is 14
How to find the coordinate of point C that is 7/8 of the distance?The given parameters are
C =7/8 from m to j
While the points are
M = 2
J = 18
The coordinate of point C that is 7/8 of the distance is calculated as
C = 7/8 * (J - M)
This gives
C = 7/8 * (18 - 2)
Evaluate
C = 14
Hence, the coordinate of point C that is 7/8 of the distance is 14
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Consider the following sequence. -5,5,15,25,35. Write an explicit formula for the sequence.
This sequence's explicit formula is [tex]a_n=-5+(n-1)*10[/tex]
What is a sequence?
A sequence is indeed an acknowledged group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has individuals. The length of the series is the number of components (potentially infinite).The convergence features of sequences can be used to analyze functions, spaces, as well as other mathematical structures in a variety of mathematical fields. In particular, sequences serve as the foundation for series, which are crucial to analysis and differential equations.The common distinction is equal to:
10
The sequence's total is equal to:
40
This sequence's explicit formula is:
[tex]a_n=-5+(n-1)*10[/tex]
This sequence's recursive formula is:
[tex]a_n=a_((n-1))+10[/tex]
Next terms:
-5,5,15,25,35,45,55,65,75,85,95...
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Sterling already owes his parents $40. He asks to borrow money from them to purchase candy bars for his friends that cost $1.50 each. The rule in Sterling's house is that he can owe his parents no more than $50. How many candy bars can he purchase and still stay within the maximum borrowing amount?
Answer: 6
Step-by-step explanation: 6 because then he would owe his parents 49 dollars
Whats 21 - 20 x 2? (Hint: the most used number and the last number)
Answer:
-19Step-by-step explanation:
Whats 21 - 20 x 2?
remember PEMDAS21 - 20 x 2 =
21 - 40 =
-19
Round 0.007492 to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
Nearest hundredth is the second digit after the decimal point.
If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.
Amelia went on a walk that was miles long. She stopped to have lunch
15
4
when she had walked of the way.
12
25
How far, in miles, did Amelia walk before lunch?
Give your answer as a fraction in its simplest form.
4
Amelia went on a walk that was, She stopped to have lunch [tex]\frac{15}{4}[/tex] miles
when she had walked of the way [tex]\frac{12}{25}[/tex] miles. Amelia walk before lunch in
[tex]\frac{3}{25}[/tex] miles.
What do you mean by miles?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. In 1959, the statute mile was formally redefined with respect to SI units as precisely 1,609.344 meters. This resulted in a standardization of the statute mile between the British Commonwealth and the United States.
The unqualified term "mile" is typically understood to refer to the current international mile. The international mile may also be referred to as a land mile or a statute mile when it has to be distinguished from nautical mile.
The term "statute mile" in British English can apply to either the current international mile or any other variation of the English mile since the 1593 Act of Parliament, which established it as 1,760 yards. However, in American law, a statute mile is equivalent to a US survey mile. If it is obvious from the context, as in a discussion of the 2nd-century Antonine Itinerary that the distances are described in terms of miles rather than Roman miles, the qualifier to describe the type of mile being used may be omitted. Foreign and historical units that are translated into English as miles typically employ a qualifier to describe the kind of mile being used.
Now from the above given question:
She stopped to have lunch in [tex]\frac{15}{4}[/tex] miles
She had walked of the way in [tex]\frac{12}{25}[/tex] miles
[tex]\frac{15}{4}-\frac{12}{25} = \frac{60}{100}- \frac{48}{100} = \frac{12}{100}[/tex][tex]=\frac{3}{25}[/tex].
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Solve for x in the inequality 2|x + 1| < 8
After solving the inequality we get the value of x as x ∈ (₋5,3)
Given the inequality is 2 |x + 1| < 8
Divide both sides of the inequality by the coefficient of variable.
|x + 1| < 8/2
Reduce the fraction
|x + 1| < 4
Now convert the absolute inequality to standard inequality.
₋4 < x₊1 < 4
separate compound inequalities into system of inequalities.
x ₊ 1 > ₋4 (1)
x ₊ 1 < 4 (2)
for (1) x ₊ 1 > ₋4
rearrange variables to the left side of the equation.
x > ₋4 ₋1
calculate the sum.
x > ₋5
for (2) x ₊ 1 < 4 (2)
rearrange the terms.
x < 4 ₋ 1
x < 3
therefore ₋5 < x < 3
Hence we get the value ranging from (₋5 , 3)
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Convert the following temperatures from Fahrenheit to Celsius or vice versa.
C= F-32/1.8
F = 1.8C+32
a. 50°F
b. 75°C
c. -40°C
Answer:
10°C
Step-by-step explanation:
c = [tex]\frac{F - 32}{1.8}[/tex] Plug in 50 for F and solve for C
c = [tex]\frac{50-32}{1.8}[/tex]
C = [tex]\frac{18}{1.8}[/tex] Divide
c = 10
maths geometry
i just need 4)
i’ve worked everything else out
Step-by-step explanation:
good job then !
the first thing I see in the graphic is that
BG is half of BD (as a major definition of diagonals in a parallelogram).
BD on the other hand is the Hypotenuse (the side opposite of the 90° angle at A) of the triangle ABD.
to be able to use Pythagoras to get BD, I need to find the length of AB.
this I get from the triangle ABE. this is also a right-angled triangle. AE = 4cm. the angle B1 = 50°. the angle A = 90°.
so, the angle E1 = 180 - 90 - 50 = 40° (remember, the sum of all angles in a triangle is always 180°).
now we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides of the triangle, and A, B, C being the corresponding opposite angles.
so, we have here
AE / sin(50) = AB / sin(40)
4 / sin(50) = AB / sin(40)
AB = 4×sin(40) / sin(50) = 3.356398525... cm
so (Pythagoras),
BD² = AB² + AD² = 3.356398525...² + 9² =
= 11.26541106... + 81 = 92.26541106...
BD = 9.60548859... cm
BG = BD/2 = 4.802744295... cm
and now look at that.
because of the fact that I did not have to go through the other points, I chose the first approach that went through my mind.
and it showed that your teacher created an impossible (contradicting) scenario :
the angle of B1 does not fit to the ratios of the various line segments.
as you correctly calculated CD as 3 cm, that must mean that AB is also 3 cm.
that makes
BD² = 9² + 3² = 81 + 9 = 90
BD = 9.486832981... cm
BG = BD/2 = 4.74341649... cm
PLEASE, USE THIS VALUE.
there is a difference to my previous calculation. and the reason for this is : the 50° for B1 are not correct.
with AE = 4, AB = 3 and then BE = 5, we get
AE / sin(B1) = BE / sin(A)
4 / sin(B1) = 5 / sin(90) = 5
sin(B1) = 4/5 = 0.8
B1 = 53.13010235...°
and not 50° !!!!