What is the surface area of the cylinder with height 8 ft and radius 3 ft? Round your
answer to the nearest thousandth.
A: 186.885
B: 195.004
C: 205.132
D: 207.345
Answers
We know that,
The surface of a cylinder is given by,
2πr(r + h)h= heightr= radiusso,
the surface area of the given cylinder would be,
⇢2π*3(3+8)⇢6π*11⇢66π⇢207.345OPTION D
[tex]\bold{EXPLANATIONS:}[/tex]
Related Questions
Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.
Answers
Answer:
In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.
I hope this helps!
Answer:
In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees. Therefore, the other two angles sum to 90 degrees, which means they are complementary. They are also acute angles, since they are each less than 90 degrees.
Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.
Answers
Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.
Step-by-step explanation:
aye man you gotta believe me ;)
The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.
We have,
f(x) = (1/2)³x
and, g(x) = -(1/2)³⁻ˣ
In f(x), the coefficient 3 in the exponent represents exponential growth.
Now, g(x) = –One-half(3)–x.
Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.
and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.
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[50 points!]
Find P (Freshman | Boy)
Hint:
P(A and B)/P(B)
Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answers
Answer:
1/3
Explanation:
P(Freshman | Boy)
Freshman = 4Boy = 12⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes
P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3Answer:
[tex]\sf \dfrac13[/tex]
Step-by-step explanation:
From the table:
Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]
[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]
[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]
Find the numbers of faces, edges, and vertices of the solid.
Answers
Answer:
7 faces15 edges10 verticesStep-by-step explanation:
This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.
__
FacesThere are two pentagonal faces and 5 rectangular faces for a total of ...
7 faces
__
EdgesThere are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...
15 edges
__
VerticesThere are 5 vertices on the top face, and 5 on the bottom face, for a total of ...
10 vertices
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Answers
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line crosses the y-axis)To determine the equation of a line:
Find the slopePlug the slope into y=mx+bPlug in a point that falls on the line as (x,y)Solve for bSolving the Question
We're given:
[tex]m=-\dfrac{1}{3}[/tex]The lines passes through the point (3,5)[tex]y=mx+b[/tex]
⇒ Plug the slope into the equation:
[tex]y=-\dfrac{1}{3}x+b[/tex]
⇒ Plug in the given point (3,5) and determine the y-intercept:
[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]
⇒ Plug this back into the equation along with the slope:
[tex]y=-\dfrac{1}{3}x+6[/tex]
Answer[tex]y=-\dfrac{1}{3}x+6[/tex]
Find two numbers whose product is 110, and whose sum is 21.
Answers
Step-by-step explanation:
The answer is 10 and 11
10 + 11 = 21
10 × 11 = 110
Spot the difference
Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3
Answers
This is because B,C, and D all have exponents while A does not.
Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?
Answers
Answer:
3/16
Step-by-step explanation:
The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16
5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!
Answers
Answer:
1.c
2.a
3.d
4.b
5.b
Step-by-step explanation:
I found the answers on a web site.
Answer:
1.A
2.D
3.C
4.B
5.A
Step-by-step explanation:
Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?
Answers
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.
Answer:
Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.
Please See the attached screenshot for the exact solutions and answer for this question
Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left
Answers
Answer:
Seventy-two million, six hundred and seven thousand games remaining
please mark brainliest
Answer:
72607000
Step-by-step explanation:
just subtract 5312 from 72612312
Dylan has 58912 cookies he eats 34512 how much does he have now?
Answers
Answer:
24,400
Step-by-step explanation:
58912 minus 34512 equals 24400.
Hope this Helps.
BTW it's my birthday
Answer:
24400
Step-by-step explanation:
No explanations; 58912-34512=24400
Evaluate x^3-3y when x=-3 and y=4
Answers
Answer:
If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:
x = - 3
y = 4
x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39
The correct result would be A -39.
Step-by-step explanation:
pa answer PO Ng question ko plss BRAINLYES Naman dyan
The transformation of triangle ABC is an example of what?
Answers
Answer:
The relation between preimage and image
Step-by-step explanation:
Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity
Answers
To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
Factorizationq(x)=12x^5+40x^4-32x³
q(x)=4x³ (3x²+10x-8)
q(x)=4x³(3x²+12x-2x-8)
q(x)=4x³ [(3x (x+4)-2 (x+4)]
q(x)=4x³ (3x-2) (x+4)
When:
q(x)=0; x1=0; x2=2/3; x3=-4
Hence:
When:
x=0 the multiplicity is 3
x=2/3 the multiplicity is 1
x=-4 the multiplicity is 1
Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
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Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25
Answers
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
How to calculate the ellipse?From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
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probably extremely easy but would like a little explanation on doing this when it comes to this specific subject
Answers
Answer:
look at each pair. examine each notice exponents so you find the hidden gcf
Step-by-step explanation:
Using the chart, determine which college is the LEAST expensive.
Answers
Answer:
college c
Step-by-step explanation:
bc its the least amount of money and has the second highest loan default
5. The perimeter of a rectangular poultry farm is 38m. If 3 meters are subtracted from its length and 2 meters from its breadth, the length will be two times the breadth. Find the area of the farm?
Answers
By solving a system of equations we will find the dimensions of the rectangle, and with these, we will see that the area is equal to 82.31 m^2
How to find the area of the farm?For a rectangle of length L and width W, the perimeter is:
P = 2*L + 2*W
In this case, we know that the perimeter is equal to 38m, then:
38m = 2*L + 2*W
We also know that if we subtract 3 meters from the length and 2 meters from the breadth, the length will e 2 times the breadth.
This is written as:
(L - 3m) = 2*(W - 2m)
Then we have a system of equations:
38m = 2*L + 2*W
(L - 3m) = 2*(W - 2m)
To solve this, we isolate one of the variables in one of the equations, I will isolate L on the second equation:
L = 2*(W - 2m) + 3m
Replacing that on the other equation we get:
38m = 2*(2*(W - 2m) + 3m) + 2*W
Now we can solve this for W.
38m = 4*(W - 2m) + 6m + 2*W
38m = 4*W - 2m + 2*W
38m + 2m = 6*W
40m = 6*W
40m/6 = W = 6.67m
Then the length is:
L = 2*( 6.67m - 2m) + 3m = 12.34 m
So the area of the rectangle is:
A = L*W = 12.34m*6.67m = 82.31 m^2
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On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?
Answers
The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.
What is Significance Testing?
Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.
What are the seven steps involved in the above exercise are:
Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10
Using ∝ = 0.05₂ tail, the conclusion is given as follows:
Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]
= - 6/10/3.1622777
= -6/3.1622777
= -1.8973666
Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960
Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960
Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |
It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.
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how do I convert 216 in percentage
Answers
Answer: 21600
216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.
Step-by-step explanation:
Please help and Please write real equation for the answer thank you
Answers
Answer:
f(x) = (3x -12)/(x² -7x +12)
Step-by-step explanation:
The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...
horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)__
The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.
At this point, the function is tentatively ...
[tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]
Evaluating this at the y-intercept, x=0, gives ...
f(0) = -1 = a/(0 -3) = -a/3
a = 3 . . . . . multiply by -3
Then our rational function, consistent with all of the features of the graph, is ...
[tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]
Please at least just look to see if its
easy for you
Answers
Answer:
4/10
2/5
6/15
Step-by-step explanation:
We can change all fraction to decimal :
2/10 = 0.2
1/10 = 0.1
4/10 = 0.4
2/5 = 0.4
4/5 = 0.8
6/15 = 0.4
Base on that we can see that 4/10, 2/5, and 6/15 are equal
~lenvy~
Please help me with this problem!!
Answers
Answer:
ok this is at first hard but during time you should use math genie helps you and has grade levels
Step-by-step explanation:
n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.
Answers
Answer:
121.1
Step-by-step explanation:
The measurement j will be 121.1
What is law of sine?Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.
In ΔABC,
sinA/a = sinB/b = sinC/c
in the given triangle ΔIJK
∠J=34°
∠I=72°
i=206
So, using law of sine,
sinI/i = sinJ/j
⇒sin72°/206=sin34°/j
⇒j=(sin34°/sin72°)*206
⇒j=121.1
Therefore, the value of j will be 121.1
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ASZPPPP
LAST ONEEE PLEASEE HELPP
Answers
Answer:
Top Left
I sincerely hope this is right and that you get g really good mark ;)
Triangle ABC is situated inside of a green square. The perimeter of the square is 33.6 feet. What is the area of triangle ABC?
Answers
Step-by-step explanation:
solution for the triangle ABC
A cylinder has a radius of 10 feet and a height of 11.4 feet.
What is the approximate volume of the cylinder?
Answers
Answer:
716.57
Step-by-step explanation:
V=πr2h
V = 2×22/7×10×11.4
= 716.571
give me a brainliest
What is the surface area of each solid pyramid? Round answers to the nearest square unit.
Please explain how to solve the problem, not just the answer.
Answers
Answer:
The total surface area is
57ft^2.
The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 hours? By what factor does the population increase in 1 week ?
Answers
Answer:
19.017 in 34 hours2,097,152 in 1 weekStep-by-step explanation:
An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.
a)In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:
factor = 2^4.25 ≈ 19.027
__
b)The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...
factor = 2^21 = 2,097,152