The approximate circumference of the base of the cylinder is 37.7 cm
How to find circumference of a cylinder?The square based prism and a cylinder both have the same height of 4cm and the same base area.
volume = BH
where
B = base areaH = heightTherefore,
volume of squared base prism = 452
452 = 4B
B = 452 / 4
B = 113
Therefore,
base area of the cylinder = 113 = πr²
Hence,
113 / π = r²
r = √113 / π
circumference of the base of the cylinder = 2πr
circumference of the base of the cylinder = 2 × π × √113 / π
circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885
circumference of the base of the cylinder = 37.6731960524
circumference of the base of the cylinder = 37.7 cm
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PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
Which of the following is equal to the fraction (4/5)^6 A. 6•(4/5)
В.4^6/5^6
С. 4^6/5
D. 24/30
Answer:
b
Step-by-step explanation:
when raising a fraction to a power both the numerator and denominator has to be raised to that power
Identifying linear pairs and vertical angles
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.
Four bells at intervals of 12 minutes, 18 minutes, 20 and 25 minutes. If they toll together at 10 am, when next do they toll together again?
Answer:
1.00 am
Step-by-step explanation:
Find the LCM of 12,18,20 and 25
=900 min ....change it to hrs =15 hrs
10.00am___1000hrs
1000hrs+15hrs
=0100hrs
=1:00 am
sector abc sits inside a circle with a radius of 9cm and is a 80 degree angle what is the area of sector abc
Answer:
56.52 cm²Step-by-step explanation:
Area of sector:
S = πr²θ/360Substitute the values and find the area:
r = 9 cmθ = 80°S = 3.14*9²*80/360 = 56.52 cm²The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression
Answer:
The expression is 70 - 9 u .
Step-by-step explanation:
Digit at ones place = u
Let the digit at tens place is y.
Sum of the digits is 7.
y + u = 7
y = 7 - u
So, the number is
10 y + u
= 10 (7 - u) + u
= 70 - 10 u + u
= 70 - 9 u
Someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
Can someone help me on this
Answer:
d
Step-by-step explanation:
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
d = 4
Step-by-step explanation:
a7 = -9
a19 = 39
We know the formula for an arithmetic sequence is
an = a1+d(n-1)
Using the givens:
a7 = -9 = a1 +d(7-1)
a19 = 39 =a1 +d(19-1)
Subtracting these equations
-9 = a1 +d(6)
39 =a1 +d(18)
------------------------
-48 = 0 -12 d
Divide by -12
4 =d
I need this question
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2 where x is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?
Answer:
(1) 256 inches
(2) 5 feet
(3) 400 inches
(4) 10 feet
Step-by-step explanation:
(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;
h(x) = 160·x - 16·x²
At x = 2 feet, we have;
h(2) = 160 × 2 - 16 × 2² = 256
Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches
(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;
[tex]x_{max}[/tex] = -b/(2·a)
The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;
[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5
Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet
(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;
[tex]h_{max}[/tex] = h(5) = 160 × 5 - 16 × 5² = 400
The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches
(4) The water is at ground level where h(x) = 0, therefore;
At ground level, h(x) = 0 = 160·x - 16·x²
160·x - 16·x² = 0
∴ 16·x × (10 - x) = 0
By zero product rule, we 16·x = 0, or (10 - x) = 0, from which we have;
x = 0, or x = 10
The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.
Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.
For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.
What is equal distribution?
The distribution of a something in a way that each will get same amount.
How 189 can be divided equally?
If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.
For this we will check that 189 is divisible by which numbers.
Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.
Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.
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what is the y coordinate of the solution
Answer:
Y = -5
Step-by-step explanation:
2x - 3x+ 26 = 19
X = 7
Y = -5
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.
Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25
Answer:
A, E or 1, 5
Step-by-step explanation:
Its not A, D
Find the slope of the line that passes through (7, 2) and (9, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
the slope is m=7/2
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer
The present age of Madison's Mother is 3 time that of Madison. After 6 1/4 years, the sum of their age will be 53 3/4 years. Find their present ages. (Estimate to the nearest whole number)
Answer: [tex]10, 31\ \text{years}[/tex]
Step-by-step explanation:
Given
The present age of Madison's Mother is three time that of Madison
Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]
After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]
[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]
Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
What does the numerator of the fraction 4/3 mean?
Choose 1 answer:
(Choice A)
There is 4 parts per whole.
-
(Choice B)
There are 3 parts per whole.
-
(Choice C)
We are counting 3 parts
-
(Choice D)
We are counting 4 parts.
choice A bcs 4 is the numerator and 3 is the denominator
In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *
Answer:
4π inches
Step-by-step explanation:
Formula for finding length of arc AB = θ/360*2πr
Where,
Central angle (θ) = 120°
Radius (r) = 6 inches
Length of arc AB = 120/360*2*π*6
Length for arc AB = ⅓*12π
= 4π inches
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
Somebody can help me please
In the parallelogram below,
z = [ ? ]°
124°
2z+16°
Helpp!
2z+16+124=180
2z=180-16-124
2z=40
z=40/2
Z=20°
I hope I helped you ^_^
Find the value of 65°11' - 58°32'
Answer:
dddddd=666=7777
Step-by-step explanation:
Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative
Answer:
The correlation has no unit of measurement; it is just a number.
Correlation requires both variables to be quantitative.
Step-by-step explanation:
Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.
What is the media and explain why.
Answer:
26
Step-by-step explanation:
Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
The median of set N is 14
Since the median of Set N is the lowest number of set L, it would look like this
Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38
The median of Set L is 26
plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]144\pi[/tex]cm
multiple 24 pi with 6 on a scientific calculator.
Answer:
4pi
Step-by-step explanation:
that is the procedure above
The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.
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➯Question:The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.Answer:Both numbers are 25 and 400.Step By Step Explanation:Given that:The product of two numbers is 10000.One number is 16 times the other number.To Find:Both numbers?Solution:Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.According to the Question :[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]
Hence,1st number = n = 252nd number = 16n = 16 × 25 = 400∴ Hence, both numbers are 25 and 400.▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:
(25, 400) or (-25, - 400)Step-by-step explanation:
Let the numbers be x and y.
We have:
y = 16xxy = 10000Substitute y and solve for x:
x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25Then y is:
y = ± 25*16 = ± 400The numbers are:
25 and 400 or -25 and - 40016. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.
Answer: See explanation
Step-by-step explanation:
Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 12 + 0.5t
Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 2.5t
