What is the exact surface area of this right cone
A.1944 pi cm sq
B.5346 pi cm sq
C.1701 pi cm sq
D. 1215 pi cm sq
Answers
______________________________________________________
The exact surface area of the given "right cylinder" is: " 1,944 π cm² " .
_______________________________________________________
Explanation:
______________________________________________________
The formula for the "surface area, S.A." of a right cone is:
______________________________________________________
→ S. A. = π r [ r + √(h² + r²) ]
______________________________________________________
in which: "S. A." is the "surface area" (in units of "cm² " ; in our case) ;
→ for which we shall solve;
π = π ; (Note, we are asked to solve for the EXACT surface area of the given "right cone" ; so we shall solve in terms of "π" ; & we note that the answer choices provided are all "in terms of π" ;
" r = "radius" of the [circular base] = diameter / 2 ;
= 54 cm / 2 = 27 cm ;
" h = perpendicular height = 36 cm " ;
____________________________________________________
→ Plug in our known values into the formula/equation ;
for the "surface area, S.A." of a right cone to solve:
____________________________________________________
→ S. A. = π r [ r + √(h² + r²) ] ;
→ S.A. = π * (27 cm) * [ 27 cm + √[ (36 cm)² + (27 cm)² ] ;
= π * (27 cm) * [ 27 cm + √[ (36² * cm²) + (27² cm²) ] ;
= π * (27 cm) * [ 27 cm + √[ (1296 cm²) + (729 cm²) ] ;
= π * (27 cm) * [ 27 cm + √ [ (1296 + 729) cm² ] ;
= π * (27 cm) * [ 27 cm + √ [ (1296 + 729) cm² ] ;
= π * (27 cm) * [ 27 cm + √ [ (1296 + 729) cm² ] ;
= π * (27 cm) * [ 27 cm + √ (2025 cm² ] ;
= π * (27 cm) * [ 27 cm + √ (2025 cm² ] ;
= π * (27 cm) * [ 27 cm + 45 cm ] ;
= π * (27 cm) * [ 27 cm + 45 cm ] ;
= π * (27 cm) * [ 72 cm ] ;
= π * (27 cm) * [ 72 cm ] ;
= (27 * 72) * π cm² ;
= (27 * 72) * π cm² ;
= " 1,944 π cm² " .
_______________________________________________________
Answer: [A]: " 1944 pi cm sq" .
_______________________________________________________
The exact surface area of the given "right cylinder" is: " 1,944 π cm² " .
_______________________________________________________
Related Questions
mindy needs 3 1/3 cups of raisins for the trail mix shes making she only has 1 2/3 cups of raisins in her pantry how many more raisins does she need?
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In the fraction 15⁄7, which of the following is 15?
Answers
In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.
Explanation:In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.
When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.
The first and second steps to solve the equation 3x/5 + 5 = 20.Are shown below
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answers
Answer:
c
Step-by-step explanation:
What is the obesity threshold weight for a young adult American male?
Answers
Explanation: The answer would be 216.5 pounds. Since it is 2. So, you take 26*2=52...and add that to 164.5 it would be=216.5 so round up and your answer is D.
~Brooke❤️
Answer: answer D for apex
Step-by-step explanation:
Eric has 58 stamps. Sheena gave 1/4 of her stamps to Eric. After giving 1/5 of his stamps to Raju, Eric still had 96 stamps. Find the total number of stamps Sheena had originally
Answers
He gave 1/5 of these to Raju leaving him with 96 so we have the equation:-
(58 + 0.25x) - 0.2( 58 + 0.25x) = 96
0.8*58 + 0.8*0.25x = 96
0.20x = 96 - 46.4 = 49.6
x = 248 Answer
Sheena originally had 248 stamps as per given condition.
To solve a problem involving basic arithmetic and algebraic reasoning to find the original number of stamps that Sheena had.
Let's start with the second part of the problem to find out how many stamps Eric had after receiving stamps from Sheena and before giving stamps to Raju:
Firstly, if Eric ended up with 96 stamps after giving away 1/5 of his stamps to Raju, we can calculate how many stamps he had before giving them away.
To do so, we can think of 96 as being 4/5 of his total stamps at that time, since he kept 4 parts out of 5.
We can represent this with the equation: (4/5) × total stamps = 96. Solving this gives us a total of stamps = 120.
Next, we know Eric originally had 58 stamps and ended up with 120. The difference must be the stamps Sheena gave him, which was 1/4 of her original total. If we represent Sheena's original number of stamps as S, we can say 58 + (1/4)S = 120.
Lastly, we solve for S: ((1/4)S = 120 - 58), which simplifies to (1/4)S = 62.
Multiplying both sides of the equation by 4 yields S = 248.
Therefore, Sheena originally had 248 stamps.
the base of a right rectangular pyramid has a length of 12 centimeters, a width of 6 centimeters, and a height of 14 centimeters. Describe the cross section formed by a horizontal plane that intersects the faces of the pyramid above the base.
Answers
Explain the steps you would take to model a desert community in which 77% of the area is covered with houses.
Answers
Answer:
77 out of 100 grids will have some marking to differentiate it from others.
Step-by-step explanation:
To model a desert community in which 77% of the area is covered with houses you may use different options as per your choice. You may put a border to the 77 of the 100 grid. If we choose a 10 by 10 grid then it will be preferable for modeling a desert community if you will mark 77 out of 100 grid.
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How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y
Answers
12x+14y
onnie is doing the office coffee run one morning. There are two coffee machines in the building: one from STACO and one from TRUCKBASS. They dispense two types of coffee: black (no milk) and white (with milk). The machines are both rather temperamental. Every fourth coffee dispensed from STACO is black and the rest are white. The coffees dispensed from TRUCKBASS are alternately black and white. Lonnie visited one of the machines and bought some coffees, of which three turned out to be white. He went back to the same machine for the afternoon run and bought the same number of coffees again. What are the possible numbers of white coffees that Lonnie could have received this time?
Answers
He went back to the same machine for the afternoon and take another 3 coffees. Since the machine created 3 white in the morning, it should make 1 black coffee in the first run. The 2nd and 3rd run would give white coffee.
So, Lonnie will have 2 white coffee.
The possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3.
Explanation:In this problem, Lonnie visited one of the coffee machines and bought some coffees, of which three turned out to be white. He then went back to the same machine for the afternoon run and bought the same number of coffees again. We need to determine the possible numbers of white coffees that Lonnie could have received this time.
Since every fourth coffee dispensed from STACO is black and the rest are white, we can conclude that every 3 out of 4 coffees from STACO are white. Therefore, if Lonnie received only white coffees in the morning, then it is possible that he could have received all black coffees in the afternoon.
On the other hand, the coffees dispensed from TRUCKBASS are alternately black and white. So, if Lonnie received three white coffees in the morning, it is not possible for him to receive all black coffees in the afternoon from TRUCKBASS.
Therefore, the possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3, depending on which machine he visited.
A parachutist's rate during a free fall reaches
231
feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during
10
seconds of free fall? In your computations, assume that
1
meter is equal to
3.3
feet. Do not round your answers.
Answers
2. In 10 seconds, the parachutist will fall
.. (10 s)*(70 m/s) = 700 m
Answer:
700 m
( A parachutist's rate during a free fall reaches 231 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. )
rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2) A) 6 ft B) 8 ft C) 10 ft D) 12 ft
Answers
It is given that the area of the circular garden = 100 [tex]ft^2[/tex]
Area of circle with radius 'r' = [tex]\pi r^2[/tex]
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
[tex]\pi r^2 = 100[/tex]
[tex]\frac{22}{7} \times r^2 = 100[/tex]
[tex]r^2 = \frac{700}{22}[/tex]
[tex]r^2 = 31.8[/tex]
[tex]r = \sqrt{31.8}[/tex]
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.
The given garden is circular in shape with area 100 square feet.
Area of the garden = πr²
Given area = 100 square feet
Hence,
[tex]3.14r^{2}=100[/tex]
[tex]r^{2}=\frac{100}{3.14}[/tex]
[tex]r^{2}=31.847[/tex]
r=[tex]\sqrt{31.847}[/tex]
= 5.6433 which is approximately 6.
Hence, option A = 6 ft is the answer.
Jayden rode his bike 5.75 miles on saturday and 12.4 miles on Sunday. How many miles did he ride his bike both days?
Answers
if I have 436 baseball cards and 189 football cards.how many more baseball cards than football cards do I need
Answers
Here is your answer:
The proper answer to this question is your going to need "247"
436-189=247
Which means your going to need 247 more baseball cards then football cards!
Your answer is 247.
If you need anymore help feel free to ask me!
Hope this helps!
May I have a brainliest
there were 629,000 women motorcyclists, up from 447,000 eight years ago. what's the percentage of increase?
Answers
A right rectangular prism is 514 in. wide, 1212 in. long, and 4 in. tall.
What is the volume of the prism?
a) 50 in3
b) 65 5/8 in3
c) 260 in3
d) 262 1/2 in3
Answers
Volume = length * width * height.
Find the dimensions of the prism.
514 inches wide1212 inches longAnd 4 inches tall.
Plug in our values.
Volume = 514 * 1212 * 4Volume = 2491872 cube inches
The correct answer is D, because what he or she was trying to say was 5 1/4 x 12 1/2 x 4, which equals 262 1/2 in³
Your welcome everyone
What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²
Answers
The answer i need to know
Answers
.. V = lwh
.. h = V/(lw)
For this problem, we want the value of 8h, so we have
.. 8h = 8V/(lw)
.. = 8(10 2/3 ft^3)/((4 ft)(1 1/3 ft))
.. = (256/3 ft^3)/(16/3 ft^2)
.. = 16 ft
The height of the stack of bales is 16 feet.
select the measurement that is most reasonable
a. a street has a width of 5 meters
b. a cat has a mass of 5 grams
c. a swimming pool has a capacity of 5 liters
d. a beetle has a mass of 5 kilograms
Answers
Let us try to explain each option one by one.
a) a street has a width of 5 meters
This is quite reasonable as the width of street can be approximately 5 meters.
b. a cat has a mass of 5 grams
The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.
c.a swimming pool has a capacity of 5 liters
5 liters is too small quantity for a small sized swimming pool too.
d. a beetle has a mass of 5 kilograms
A beetle is a small creature measuring mostly in grams.
So answer is option a. a street has a width of 5 meters
A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute
Answers
how many feet in 1 minute?
1 minute is 60 seconds
so, we can write a proportion and solve
feet/ seconds = feet/seconds
88/2 = x / 60
cross multiply
(88 * 60 ) = 2 * x
5280 = 2x
divide both sides by 2
2640 = x
To check:
88/2 =?= 2640 / 60
44 = 44
So the car travels 2640 feet in 60 seconds, or 1 minute.
(btw just in case you wanted to know also, 2640 feet is equal to 0.5 of a mile, that car travels 0.5 miles in 1 minute)
Hope this helps
Roger makes $42,000 a year. What is the maximum amount he can afford for a mortgage each month?
Answers
Answer:
The answer is 875.00
Step-by-step explanation:
Roger can afford a maximum monthly mortgage payment of $1,505.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Lenders typically use a DTI to assess a borrower's ability to repay the loan. The DTI is calculated by dividing the borrower's monthly debt payments (including the mortgage payment) by their gross monthly income.
The maximum DTI ratio allowed for most conventional mortgages is 43%. This means that the total debt payments, including the mortgage payment, cannot exceed 43% of the borrower's monthly income.
To calculate the maximum mortgage payment for Roger, we need to first determine his gross monthly income by dividing his annual income by 12:
= $42,000 ÷ 12
= $3,500
Next, we need to calculate Roger's maximum allowable monthly debt payments by multiplying his monthly income by the maximum DTI ratio:
= $3,500 x 0.43
= $1,505
Let's assume that Roger has no other monthly debt payments:
= $1,505 - $0
= $1,505
Therefore,
Roger can afford a maximum monthly mortgage payment of $1,505.
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9,732,005 rounded to the nearest million
Answers
Hope this helps ;)
A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.
Answers
A=1536 in
The surface area of the cube is 1536 in.
Which represents the reflection of f(x)= square root x over the x-axis?
Answers
The firs graph attached (picture 1)
ExplanationTo reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect [tex]f(x)[/tex], you just need to multiply [tex]f(x)[/tex] by -1: [tex]f(x)*-1=-f(x)[/tex].
Since our function is [tex]f(x)=\sqrt{x}[/tex], we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)
Reflection of f(x) over the x-axis:
[tex]-f(x)=\sqrt{x}[/tex]
[tex]g(x)=-\sqrt{x}[/tex]
Negate the value of the y-coordinate of each point, but leave the x-value the same. Therefore, option A is the correct answer.
The given function is f(x)=√x.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, f(x)=√x
Graph using the end point and a few selected points.
(0,0), (1, 1) and (2, 1.41)
The graph for the obtained coordinate points is given below.
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Therefore, option A is the correct answer.
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Ted lives 20 miles south and 20 miles west of the city represented on the graph in Example 3. His brother Ned lives 50 miles north of Ted’s house. Give coordinates of each brother’s house
Answers
Answer:
mamamo 20 miles
Step-by-step explanation:
Answer:
Ted (20,-20) Ned (20,30)
Step-by-step explanation:
what is the value of x in the solution of the system of y=2x and 4x+y=6
Answers
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates or zero
Yes, at negative x-coordinates or zero
Yes, at negative and positive x-coordinates or zero
No, they will not intersect
Answers
We can prove this by substituting [tex]y=x[/tex] into the given equation:
[tex]x^2+x^2=36[/tex]
[tex]2x^2=36[/tex]
[tex]x^2 = 18[/tex]
[tex]x = \pm 3\sqrt{2}[/tex]
Hence, [tex]x = 3\sqrt{2}[/tex] or [tex]-\sqrt{2}[/tex], so there are both positive and negative values for [tex]x[/tex].
Answer:
will intersect the circle at negative and positive x-coordinates.
Step-by-step explanation:
^^
WHOEVER HELPS FIRST GETS BRAINLIEST. IM BEING TIMED!!!
Answers
Answer:
Step-by-step explanation:
what 9x11
A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?
Answers
1/3x8 ounces so answer will be 2.66666...... Or can be rounded to 3
The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
What is the best estimate of the number of ounces that are needed?The best estimate of the number of ounces that are needed is calculated as follows;
To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.
Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.
8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)
Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
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Solve these problems using the berry method. Please show me the work! (291-298)
Answers
So, you start with a factorization that looks like
.. (ax + __)*(ax + __)
with the blanks to be filled by the numbers you determine in the second step.
Finally, you divide this product by "a" in an appropriate way. Often, that will mean you factor "a" from one of the binomials.
291) 5c^2 +13c +6
.. form to fill: (5c + __)*(5c + __)
We're looking for factors of 5*6 = 30 that add to 13.
.. 30 = 1*30 = 2*15 = 3*10 = 5*6 . . . . . . sums of factors are 31, 17, 13, 11.
The numbers we want are 3 and 10. Putting these into the form gives
.. (5c +3)*(5c +10)
.. = 5(5c +3)(c +2)
The factorization we want is
.. 5c^2 +13c +6 = (5c +3)(c +2)
294) 4d^2 +8d -21
.. 4*-21 = -84 = 84*-1 = 42*-2 = 28*-3 = 21*-4 = 14*-6 = 12* -7
.. These factor pairs have sums 83, 40, 25, 17, 8, 5, so our numbers are 14, -6.
.. (4d +14)(4d -6) . . . . form with numbers filled in
.. = 2(2d +7)*2(2d -3) . . . . . remove a factor of 4 by removing a factor of 2 from each binomial
.. = 4(2d +7)(2d -3)
The factorization we want is
.. 4d^2 +8d -21 = (2d +7)(2d -3)
297) 3g^2 -16g -12
.. 3*-12 = -36 = -36*1 = -18*2 = -12*3 = -9*4 = -6*6
.. These factor pairs have sums -35, -16, -9, -5, 0, so the numbers we want are -18 and 2.
The Berry Method form now looks like
.. (3g -18)(3g +2)
.. = 3(g -6)(3g +2)
The factorization we want is
.. 3g^2 -16g -12 = (g -6)(3g +2)
Candy at the grocery store is on sale. Mrs. Watkins finds that she can buy 5 candy bars for $2.50. She has a total of 18 kids in her class. How much would it cost for her to buy a candy bar for all the students?
Answers
it would cost her $9
hope this helps
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