A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area
What are the coordinates of the ride located 3.5 units away from the Merry-Go-Round and 1.25 units away from Roller Coaster 1? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
-1.5, 0.5
Step-by-step explanation:
What is the opposite of
π
Answer:
diameter is your answer
Let f(x) = 2x + 1 and g(x) = 3x + 2. Which of the
following describes all values of x for which the
graph of y = f(x) lies below the graph of y = g(x)?
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
12+13+29+18+61+35+21 = 189189/7 = 27you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6then, square each calculated value from above
-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36then, add the squared values together
225+196+4+81+1156+64+36 = 1762you would then divide 1762 by 7 (number of data values given orginally)
1762/7 = 251.714finally, take the square root of 251.714 to find the standard deviation
[tex]\sqrt{251.714} = 15.866[/tex]Giving brainlist to whoever answers
Answer: I belive b, I could be wrong tho.
Step-by-step explanation:
Answer:
I think that the answer is B
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
What does x and y equal
What are the volume of a rectangular pyramid with a length of 39 m, a width of 15 m, and a height of 16 m?
Answer:
3120 m³
Step-by-step explanation:
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation:
1/2 2/3 3/4 the average
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful
Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²
What is the volume of this triangular prism?
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]
Step-by-step explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]
substitute
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]
remove parentheses:
[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]
reduce fraction:
[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]
simplify multiplication:
[tex]\displaystyle V _{ \text{prism}} = 270[/tex]
hence, the Volume of the given prism is 270cm³
PLS HELP
Two students are comparing scientific experiments to investigations. They came up with the following ideas.
Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year
Which student gave an example of a scientific experiment?
Student A because it requires experimental and control groups
Student B because it requires a hypothesis
Student A because it is preferably done in natural settings
Student B because it is preferably done across a long period of time
Answer:
a
Step-by-step explanation:
A because it requires experimental and control groups
Jessie's school has 570 students. Thirty percent of the students are eighth-graders. One-third of eighth-graders walk to school. How many eighth-graders walk to school?
Answer:
57
Step-by-step explanation:
10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).
What is m X to the nearest degree?
Help plssss
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then
∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A
The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
No, the Normal/large sample condition is not met.
Option C is the correct answer.
What is a t-test?A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.
It is used when the sample size is small or the population standard deviation is unknown.
We have,
The conditions for inference in a t-test are:
Random condition:
The sample should be selected randomly from the population to ensure that the sample is representative of the population.
Normal/large sample condition:
The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.
Independence condition:
The observations in the sample should be independent of each other.
In this case,
The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.
Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.
Thus,
No, the Normal/large sample condition is not met.
Learn more about t-test here:
https://brainly.com/question/15870238
#SPJ3
Adjust the number into correct standard form.
0.4×10^5
Answer:
40000
Step-by-step explanation:
Using that thing called pemdas, do the exponents first, then the multiplication so:
10^5 = 100000
100000 x 0.4 = 40000
How do i solve this?
Answer:
5.x^8.y^3
Step-by-step explanation:
15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2
= 15/3. x^(10-2). y^(5-2). z^(2-2)
= 5.x^8.y^3.z^0
= 5.x^8.y^3
[tex]\\ \rm\hookrightarrow \dfrac{15x^{10}y^5z^2}{3x^2y^2z^2}[/tex]
[tex]\\ \rm\hookrightarrow 5x^{10-2}y^{5-2}z^{2-2}[/tex]
[tex]\\ \rm\hookrightarrow 5x^8y^3[/tex]
Option B has type error or none of the above
i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????
Answer:
2116.6_
Step-by-step explanation:
What is the slope of the line that passes through (12, -18) and (11, 12)?
QUICK!!
Answer:
slope= m=-30 hope that helps
Match each equation to its description
A.Circle centered at (0,-4) with radius of 3
1.(x-1)^2 + y^2=9
2.x^2+(y+4)^2=9
3. (x-1) +( y - 4)^2=3
4.(x - 1)^2+(y - 4)^2=9
5.(x - 1)^2 + (y + 4)^2=3
Which is the correct answer
A.1
B.2
C.3
D.4
E.5
Answer:
[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]
Step-by-step explanation:
The equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center of the circle is (0, -4) and the radius is 3. Therefore:
h= 0 y= -4 r=3Substitute the values into the formula.
[tex](x-0)^2+(y--4)^2=(3)^2[/tex]
Solve the first parentheses.
(x-0)² = (x)²= x²[tex]x^2+(y--4)^2=(3)^2[/tex]
Solve the next parentheses.
(y--4)² = (y+4)²[tex]x^2+(y+4)^2=(3)^2[/tex]
Solve the exponent.
(3)²= 3*3=9[tex]x^2+(y+4)^2=9[/tex]
This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
We can substitute a definition of one of the variables by rearranging the first equation.
We set the first equation equal to one of our two variables.
[tex]y = 24 - x[/tex]
Now we substitute this equality into our second equation
[tex]3x + 5(24 - x) = 100[/tex]
Which is the graph of the equation y = 3x - 5?
Its C
Step-by-step explanation:
I NEED HELP ASAP
Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?
3. Solve triangle ABC if a = 4, b = 6, and c = 5.
Show work
Answer:
4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps
Step-by-step explanation:
https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles
The sum of a number and five divided by fifteen
Answer:
Option F
Step-by-step explanation:
Let the number be n.
Sum of a number and 5 is n + 5.
Sum of a number and five divided by fifteen is
( n + 5 ) / 15
Each side of a square is 62/3 m long. Find its Area
Answer:
=> (62/3)m
Step-by-step explanation:
=> (62/3)²
=> (62)²/(3)²
=> 3844/9 m²
Answer:
427.11111
Step-by-step explanation:
This is the answer
Devon ends up paying extra 28% in intrest, if the ps5 is 500 how much did he pay in intrest?
Answer:
780
Step-by-step explanation:
i think sorry if it is wrong
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
a= v^2/r
Solve the formula for the velocity.
v=
Answer:
Step-by-step explanation:
For this case we have the following equation:
a = v ^ 2 / r
From here, we must clear the value of speed.
We have then:
v ^ 2 = a * r
v = root (a * r)
Answer:
the formula for the velocity is:
v = root (a * r)
Answer:
v=[tex]\sqrt{ar}[/tex]
Step-by-step explanation: