Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
The sum of 1/2 and 1/3 is?
Answer:
5/6
Step-by-step explanation:
Which of the following are "like" terms: 6b 5x 4x x 2e
Answer:
5x, 4x and x.
Step-by-step explanation:
Like Terms. "Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. So say we have 4,5,and 3x. 4 and 5 would be like terms because they are just whole numbers. If we added another number with a coefficient of x, it would be 3x's like term. It's not as simple though, because a number having letters doesn't just make it a like term. It has to be the same letter(s). 4x and 5y are not like terms but 4x and 5x would be. 4xy and 5yz are not like terms but 5yz and 6yz would be like terms.
Hope this helps!
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A sector has a radius of 12 centimeters and an angle of 65 degrees. Find it's arc length.
A. 18.2 cm
B. 13.6 cm
C. 12.6 cm
D. 14.6 cm
The arc length will be option B. 13.6 cm.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
If radius of the circle is of r units, then
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The superscript 'c' shows the angle measured in radians.
Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.
So we input our values in the formula:
2π (12) x 65/360
= 24π x 65/360
= 13.6
Hence, the arc length will be option B. 13.6 cm.
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A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
I WILL MARK YOU AS BRAINLIST PLEASW HELPPP
Answer:
A = 30
Step-by-step explanation:
it's a 30,60,90 triangle by the sides but to prove it:
sohcahtoa
cos A = 3√2/2√6 = 4.24/4.899 = .865
A = 30°
Which equation demonstrates the distributive property?
Answer:
B-36*8=8*36
The distributive property is just using the same numbers except it's just switched around but hte same numbers are in the problem/equation.
Hope this helps!
Have a great day!
- Hailey
Look below for an example!
Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way. first, she needs to buy an access pass that costs $5.50 there is also a fee of $1.25 first stop Kela doesn't want to spend more than $15 on the trip so she wants to know the largest number of stops she can afford write an inequality to solve this problem.
Pls answer fast I'll mark brainliest
Answer:
Kela will be able to travel for 7 stops before her money runs out.
Step-by-step explanation:
Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:
(15 - 5.5) / 1.25 = X
9.5 / 1.25 = X
7.6 = X
Therefore, Kela will be able to travel for 7 stops before her money runs out.
PLEASE ANSWER FAST! WILL GIVE BRAINLIEST
Answer:
B po
Step-by-step explanation:
Kase interquartile range po yan
Cuáles son los elementos de un polinomio
Three times the sum of a number and three is equal to six times the number, minus three. Find the number
The number is ?
Answer:
n = 4
Step-by-step explanation:
3(n + 3) = 6n - 3
3n + 9 = 6n - 3
12 = 3n
n = 4
I’ll mark ya brainless who can help?
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
You have 12 marbles and you have 4 of each color.
A group of 30 individuals are trying out for the soccer team. Only the top 11 make it in the team. Find the number of possible teams?
Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
Help pleaseee! Whats the answer
Answer:
The answer is 16 for the blue dot
I'm think it's 16
Step-by-step explanation:
This is because it seems that it jumps from 0 to 4. So you add four to the number 4...
Please help I’ll give points + brainalist
Answer:
hi sjsjsejrjhrhrjrjehhwhkekekhehe
Step-by-step explanation:
d part is the answer
it it was the same as the last time you had
Primalia knows there are 3 feet in 1 yard. She writes the equation 3= to find the number of yards, , in any number of feet, .
Use the drop-down menus to complete the statements about Primalia's equation.
The word choices for the first part is "greater than" or "less than".
The word choices for the second part is "greater than" or "less than"
The word choices for the third part is "will" or "will not"
The word choices for the fourth part is "3 x f = y", "3 + f = y", "3 x y = f", or "3 + y = f"
Answer:
Step-by-step explanation:
1. Greater than
2. Greater than
3. will
4. 3 × f = y
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.
Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3:00 p.m. in Houston.
Step-by-step explanation:
The half-life of a radioactive kind of tellurium is 2 months. If you start with 40 grams of it, how much will be left after 4 months?
Answer:
10 g
Step-by-step explanation:
40/2 = 20 g
20/2 = 10 g
If half-life of a radioactive kind of tellurium is 2 months. If you start with 40 grams of it, then 10 gm of it left after 4 months.
What is Half life?Half-life is the time required for a quantity to reduce to half of its initial value.
Given,
The half-life of a radioactive kind of tellurium is 2 months
It started with 40 grams of radioactive kind of tellurium
As given, half is for two months
In first two months it becomes 20 gm
40/2= 20gm
In second two months the 20 gm is reduced by half
20 gm/2=10gm.
Hence, 10gm of radioactive kind of tellurium is left after 4 months.
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If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.
Find the distance between the pair of points (-7, 2) and (-2, 14)
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
ava walks to the end of her section of trail and back in 90 minutes Luis walks his his section of the trail in 1 3/4 hours. Who walks longer?
Answer:
Luis
Step-by-step explanation:
One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.
Evaluate the rational expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real #.
Answer:
-3
Step-by-step explanation:
In 2 years, Duncan wants to buy a bicycle that costs $400.00. If he opens a savings account that earns 11% interest compounded annually, how much will he have to deposit as principal to have enough money in 2 years to buy the bike?
Answer:
Current deposit amount = $324.65 (Approx.)
Step-by-step explanation:
Given:
Cost of bicycle = $400
Future amount = $400
Rate of interest = 11% = 0.11
Number of year = 2 year
Find:
Current deposit amount
Computation:
Compound interest formula
A = P[1+r]ⁿ
Future amount = Current deposit[1+Rate of interest]ⁿ
400 = Current deposit[1+0.11]²
400 = Current deposit[1.11]²
400 = Current deposit[1.2321]
Current deposit amount = 400 /1.2321
Current deposit amount = $324.65 (Approx.)
A data set has a median of 48, and six of the numbers in the data set are less than
median. The data set contains a total of n numbers.
If n is odd, and exactly one number in the data set is equal to 48, what is the value of
n?
A 13
B 16
C 15
D 17
find the value of 1 + 3x when x = 1
Answer:
Step-by-step explanation:
x = 1
Therefore 1 + 3x = 1 + 3 (1)
= 1 + 3
= 4
Answer:
4Step-by-step explanation:
1 + 3x
[By putting the value of x =1]
= 1 + 3×1
= 1 + 3
= 4 (Ans)
A garden has a length of (x + 2) feet and a width of (2x - 1) feet. The garden’s total area is 88 square feet. Find the length.
Answer:
x= 29
Step-by-step explanation:
LOOK AT IMAGE PLEASE I MARK BRAINLIEST
Answer:
0.2 I think
Step-by-step explanation:
7x6=42
35÷42=0.2
Please help me out on this- I will give brainliest
Answer:
A) choice on the left
B) choice on the right
C) choice on the right
D) choice on the right
Step-by-step explanation:
Question 17
17. Find the scale factor that was used in the dilation shown.
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation: