I don't get what I'm doing wrong,does anybody know this?The diameter of a great circle is 24 inched find the total surface area of the hemisphere don't forget to include the base in the total area.
Answers
since it's diameter is 24, its radius must be 12.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]
now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]
The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.
What is hemisphere?
A hemisphere is "half the part of sphere".
According to the question,
The diameter of greater circle is 24 this implies radius of circle is 12.
Surface area of sphere = 4πr²
= 4×π × (12)²
= 576π.
Surface area of sphere is 576π
Surface area of Hemisphere is half of the surface area of sphere.
(576π)/2 = 288π
In order to include the base in the total area only if add surface area of hemisphere and area of circle.
surface area of hemisphere + rea of circle = 288π + π(r)²
= 288π + π(12)²
= 288π + 144π
= 432π
Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.
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Related Questions
he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3
Answers
Answer:
Answer:
C
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
i got a hundred on the test
Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip from a neighbor. Write an equation to represent this situation. (4 points)
Part B: Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Please help (Ithink imma fail a math exam if not)
Answers
Answer:
Part A answer: 0.5x + 3 = 18.50
How I got the answer: 0.5 means how much money she made from each cup. the variable x = how many she sold. 3 equals the tip from the neighbor. and 18.50 is the total price
Part B answer: (0.75x - 0.10x) + 3 = 21.00
How i got the answer: 0.75 is how much money she make from each cup. 0.10 means how many she paid for each cup she used. x = how many cups were sold/bought (should be the same number!). 3 is the tip. and 21.00 is the total price made.
Part C answer: The equations differ because Sydney didn't have to pay for the cups she used, while Daria did. Although they did have the same amount for a tip, Daria made more money than Sydney.
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this should be correct! hopes this help and i wish you good luck on your math exam!
help!!!! please hurry!
Answers
Answer:
w=8
Hope this helps!!
express x^2-8x+5 in the term (x-a)^2-b where a and b are integers
Answers
Answer:
(x-4)² -11 where a = 4, b = 11
Step-by-step explanation:
The final form (x-a)² - b evaluates to x² - 2ax + a² -b
Matching
x² - 8x + 5
x² - 2ax + a² -b
This gives us -2ax = -8x or -2a = -8 or a = 4
and a² - b = 11 ==> 16 - b = 11 or b =5
Rewritten form is
(x-4)² -11
In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.
What type of material did the water most likely encounter when it stopped?
a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks
Answers
Answer:
A layer of granite
Step-by-step explanation:
This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.
The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We get;
An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.
After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.
Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.
In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.
Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
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What is the value of x in the equation : sin 40 = cos (x)
Answers
Since sin x= cos (90- x)
Sin40=cos(90-40)
Sin 40=cos 50
X=50
21. The solution(s) is/are b =
Please help me solve this
Answers
Answer:
b = -4, 0
Step-by-step explanation:
Given :
b² + 4b = 0Take b as a common factor.
b(b + 4) = 0Solutions
b = 0b + 4 = 0 ⇒ b = -4b = -4, 0Answer:
b = - 4, b = 0
Step-by-step explanation:
b² + 4b = 0 ← factor out b from each term
b(b + 4) = 0
equate each factor to zero and solve for b
b = 0
b + 4 = 0 ⇒ b = - 4
if A (4,5), B (6,8), then vec AB is ...
Answers
Answer:
slope= rise/ run= 1.5/1= 1.5
The table lists the measures of center and measures of dispersion for a data set.
mean median mode range standard deviation
65.8 63.5 65 11 3.9
find the mean, median, mode, range, and standard deviation when each value of the data set is increased by 8.
Answers
Answer:
it's difficult , sorry
Step-by-step explanation:
ask easily one
4x^2-11x-3 Change it to factor form
Answers
Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
[tex](4x+1)(x-3)[/tex]
Step-by-step explanation:
[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]
Hope this helps
7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.
Answers
Answer:
Centre is (4,2) and radius is 10
Step-by-step explanation:
The circle equation is of form,
=> (x - a)² + (y - b)² = r²
where the centre is (a,b) and radius is 'r'.
Simplify 12 raised to 2/5 into 5 raised to 2/5
Answers
Answer:
60^2/5
Step-by-step explanation:
2^2/5 × 5^2/5
=(12×5)^2/5
=60^2/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]
[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]
[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]
[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]
[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
the distance lesley walks from home to school is 120 meters and 80 meters when he goes to church from home. gusion estimates that the distance lesley walks when he goes directly to church. coming frim school is 180 meters. guinevere's estimation is 210 meters which etimation is feasible? make a map of lesley ways from home to school and church justify.
Answers
Guinevere’s estimation of 210m is not feasible.
Gusion’s estimate is feasible if the locations form a triangle.
-7- -13 ( subtracting integers)
Answers
Answer:
Looking at the problem we come across one issue where we have two minus signs. However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1. Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13. Now we just combine and we get 6.
Answer:
6
Step-by-step explanation:
[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]
need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.
Answers
Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Pls help asap
ivan made strawberry jam and raspberry jam. he made enough strawberry jam to fill 2/3 of a jar. if he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
write your answer as a fraction or as a whole or mixed number.
Answers
4/5 × 2/3
= (4×2)/(5×3)
=8/15
how do i find the length of a=7.4 b=? c=3.6
Answers
Answer:
b=6.5
Step-by-step explanation:
a²+b²=c²
7.4²+b²=3.6²
b²=3.6²-7.4²
b²=12.96-54.76
b²= -41.8
√b²=√-41.8
b=6.465
b=6.5
What are the coordinates for B?
options:
(4, -4)
(-3, -2)
(2, 2)
(-4, 4)
Answers
Answer:
(2,2)
Step-by-step explanation:
coordinates are written as (x,y)
where x represents the x value of the coordinate and y represents the y value of the coordinate.
If we look at the graph we can tell that "b" has an x value of 2 and a y value of 2
Therefore we can say that "b" is positioned at (2,2)
Answer:
C. (2, 2)
Step-by-step explanation:
A coordinate is used to identify a point on a graph. A coordinate is written in the form of (x, y), where x is the x-value and y is the y-value.
The x-value is the number of units left or right from the origin (0, 0), and it gets negative by going left and positive by going right.
The y-value is the number of units up or down from the origin (0, 0), and it gets negative by going down and positive by going up.
For example, the coordinates (1, -2) indicate that the x-value goes to the right one unit and the y-value goes down two units.
Here, we are asked to find the coordinate of B:
The x-value is positive 2, which means it went to the right two from the origin.The y-value is positive 2, which means it went up two units from the origin.Our coordinate should look like this: (2, 2)Therefore, the correct answer is C. (2, 2)
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What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?
Answers
The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
What is point slope form?The point slope form of a line is the expression of line which has a specified slope and passes through a point.
The point slope form is givne as,
(y-y₁)=m(x-x₁)
Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.
The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,
(y-y₁)=m(x-x₁)
(y-(-1))=-5(x-2)
(y+1)=-5(x-2)
Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
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If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answers
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
I need help to find the equation but in slope intercept form.pls
Answers
Answer: y= 8x-8
Explanation:
Slope=8
Y intercept= -8
Y=mx+b
Y=8x-8
Sum interior angle on a regular pentagon
Answers
Answer:
540°
Step-by-step explanation:
Formula: note that n means nr of sides
(n-2)×180°
(5-2)×180°=3×180=540°
Where each angle are 540°÷5=108°
Answer:
540
Step-by-step explanation:
108 is one interior angle from a regular pentagon
And a pentagon has 5 interior angles
So 180x5=540
Can you help me? I don’t understand this question at all. It would really help.
Answers
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?
Answers
Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:
[tex]t_1 = \frac{90}{40} = 2.25[/tex]
She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:
[tex]t = \frac{120}{43} = 2.79[/tex]
Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:
[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]
Her average speed for the final 30 miles is of 55.56 mph.
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Which of these shapes is an obtuse isosceles triangle? Help me A, B, C, Or D?
Answers
Answer:
A
Step-by-step explanation:
What is the median of this data set?
22, 37, 49, 15, 72
А. 39
В. 37
С. 47
D. 49
Answers
Whats is 184 X 8 = ? In work?
Answers
Answer:
23
Step-by-step explanation:
23 ⇔ 23 R 0
184 divided by 8
=
23 with a remainder of 0
0
2
3
8
1
8
4
-
0
1
8
-
1
6
2
4
-
2
4
0
City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?
Answers
The number of students that are expected to enroll in the fifth year of the plan is 644.
How many students are expected to enroll in the fifth year?The formula that can be used to determine the future value of the population is:
FV = P (1 + r)^n
FV = Future value P = Present value R = rate of increaseN = number of years400 x (1.1)^5 = 644
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In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval
Answers
95% of molds filled by this machine will hold weights in are within 1106 pounds to 1194 pounds
What is an empirical rule?The empirical rule states that for a normal distribution, about 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within one standard deviation from the mean
Given a mean of 1150 pounds and a standard deviation of 22 pounds. Hence:
95% are within two standard deviations of the mean = 1150 ± 2(22) = (1106, 1194)
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Answer:
1106 - 1194
Step-by-step explanation:
OC is perpendicular to AB. What is the length of AB?
A. 8.8 units
B. 4.4 units
C. 13.2 units
D. 2.2 units
Answers
Answer:
A.8.8 units
Step-by-step explanation:
Answer:
The correct answer is 8.8 units
Step-by-step explanation:
I just got it correct.
