Answers
Step-by-step explanation:
this is again a combined object.
at the bottom there is a cylinder.
and on top there is half of a sphere (I assume it is a sphere, because there is no additional information about its height, and we could therefore not solve this otherwise).
for the total volume we need to calculate both volumes and add these results.
for the total surface area we need to calculate both surface areas, but remove the top surface area of the cylinder, because the half-sphere is covering it.
so, let's start with the volume :
the volume is a cylinder is
ground area × height = pi×r² × height
the radius is half of the diameter, so, r = 18/2 = 9 ft.
in our case that gives us
pi×9² × 10 = pi×81 × 10 = 810×pi = 2,544.690049... ft³ ≈
≈ 2,544.7 ft³
the volume of a sphere is
pi×r³ × 4/3
and of a half-sphere therefore
pi×r³ × 4/3 / 2 = pi×r³ × 2/3 = pi×9³ × 2/3 = pi×9² × 2 =
= pi×81 × 2 = 162×pi = 508.9380099... ft³
≈ 508.9 ft³
the total volume is then
3,053.628059... ft³ ≈ 3,053.6 ft³
the surface area :
the surface area of a cylinder is
the areas of the circles on the top and the bottom (but here we need only the bottom) plus the area of the lateral side area, the "mantle", which is the circumference of the basic circle times height.
so, in our case we get
pi×r² + 2×pi×r×height
pi×9² + 2×pi×9×10 = 81pi + 180pi = 261pi =
= 819.9556826... ft² ≈ 820 ft²
the surface area of a sphere is
4×pi×r²
and therefore if a half-sphere
4×pi×r² / 2 = 2×pi×r²
in our case
2×pi×9² = 2×pi×81 = 162pi = 508.9380099... ft²
≈ 508.9 ft²
the total surface area is then
1,328.893692... ft² ≈ 1,328.9 ft²
Related Questions
15ml of Tylenol 3 to given every 4-6 hours. Your research indicates that there are 12mg of codeine per 5ml of liquid and that the safe dosage is between 0.5 and 1mg/kg/every 4-6 hours. Is this prescription safe for your child? Explain. If not, what would a safe dose be?
Answers
Answer:
If the safe dose is .5 to 1 mg/kg/dose, the safe limit depends on the side of the child. Using the more conservative limit of .5mg/kg, you have 36mg(kg/.5mg)=72kg, which is roughly 160lbs, Even with the upper limit of 1mg/kg, you still have 36mg(kg/1mg) = 36kg, or 80lbs, which is a larger child. I would say this dose isn't "safe", but you really need the weight of the child to calculate what is a safe dose.
Step-by-step explanation:
Mrs.Mason the art teacher is mixing red and yellow paint. The ratio of red to yellow is 3:5. How much red paint should be mixed with 20 ounces of yellow?
Answers
Divide total yellow by its ratio portion.
20/5 = 4
multiply that by the portion for red:
3 x 4 = 12
answer: 12 ounces
A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) Determine what fraction of the ingredients is butter. Simplify if possible.
b) Express this fraction as a decimal.
c) What percentage of the ingredients are salt and flour?
Answers
Step-by-step explanation:
a.
add up all the grams to get the total
60 + 40 + 100 = 200
butter is 60 out of 200 or
60/200 or (divide top & bottom by 20)
3/10 = answer
b.
3 ÷ 10 =
.33 = answer
c.
salt =
40 ÷ 200 = 1/5 = .20 =
20% = answer
flour
100 ÷ 200 = 1/2 = .50 =
50% = answer
Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715
Answers
The value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^5
How to evaluate the composite function?The functions are given as:
f(x) = 11x^3 - 3x^2
g(x) = 7x^4 + 9x^3
The value of f(x) . g(x) is calculated as:
f(x) . g(x) = (11x^3 - 3x^2) * (7x^4 + 9x^3)
Expand
f(x) . g(x) = 77x^7 + 99x^6 - 21x^6 - 27x^5
Evaluate the like terms
f(x) . g(x) = 77x^7 + 78x^6 - 27x^5
Hence, the value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^518x^5
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The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?
Answers
Using the binomial distribution, it is found that there is a 0.3154 = 31.54% probability that among the students in the sample at least 6 are female.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The student body of a large university consists of 60% female students, hence p = 0.6.A random sample of 8 students is selected, hence n = 8.The probability that among the students in the sample at least 6 are female is given by:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{8,6}.(0.6)^{6}.(0.4)^{2} = 0.2090[/tex]
[tex]P(X = 7) = C_{8,7}.(0.6)^{7}.(0.4)^{1} = 0.0896[/tex]
[tex]P(X = 8) = C_{8,8}.(0.6)^{8}.(0.4)^{0} = 0.0168[/tex]
Then:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) = 0.2090 + 0.0896 + 0.0168 = 0.3154[/tex]
0.3154 = 31.54% probability that among the students in the sample at least 6 are female.
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1.2 The following pattern is given: -100,-97; -91;
1.2.1 What is the fifth term for the pattern?
1.2.2 Determine the general rule for the pattern (the nth term)
Answers
Brainly 505 Server Error
5. Find the largest difference between a 3-digit number and a 2-digit number.
Answers
Answer:
989
Step-by-step explanation:
The largest difference could be possible between Largest 3 digit number and smaller two digit number
I.e,
999-10=989
Your company offers two types of insurance plans:
* Option A costs $20 per doctor visit.
* Option B requires you to pay a $250 deductible to activate your coverage and $10 per visit.
Enter an equation that can be used to find the number of visits (v) needed for the two plans to cost you the same amount.
Answers
Answer:
10 x 2 = 20 dollars. 250/12= 20.8333333
Step-by-step explanation:
Find the sum.
35/100 + 5/10
Answers
Answer:
0.85
Step-by-step explanation:
35 divided by 100= 0.35 + 5 divided by 10 = 0.5
0.35 + 0.5 = 0.85
Answer:
17/20
Step-by-step explanation:
35/100+5/10
=35/100+50/100
=85/100
=17/20
Choose the graph that represents the equation y = 2|x – 2|.
Answers
Answer:
Graph D. is the correct graph.
The graph of y=-3x+ 2 is:
Answers
go on desmos and see what the graph looks like
What is the volume of the shape this net makes?
Answers
Answer:
1388.13
Step-by-step explanation:
So, the formula for a cylinder is V=pi x R^2 x H
We plug in what we know.
V=3.14x4^2x27.63
V=3.14x16x27.63
V=50.24x27.63
V=1388.13
complete the steps to solve the equation
Answers
Answer:
attached below
Step-by-step explanation:
minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75
Free easy points will give Brainliest
6^2+4^2=C^2
Answers
Answer: c = about 7.21
Step-by-step explanation:
ok - pythagorean theorum
6^2+4^2=C^2
36 + 16 = c^2
52 = c^2
root both sides
c = about 7.21
The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21
How to solve the equation?The equation is given as:
6^2 + 4^2 = C^2
Evaluate the exponents of 6 and 4
36 + 16 = C^2
Evaluate the sum
52 = C^2
Take the square root of both sides
7.21 = C
Rewrite as:
C = 7.21 (approximated)
Hence, the solution to the equation is approximately 7.21
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can someone please help me with this math problem please fast
Answers
can you please help me please:(…
Answers
Answer:
The function is linear
Step-by-step explanation:
"I disagree with Maryam because if we substitute the values and graph the function, it will turn out to be linear."
What is the remainder in the synthetic division problem below?
4 6 - 1
A. 3
B. 7
C. 5
D. 9
Answers
Answer:
so,6-1 3+7x5 9
Multiple: 7 * 5 = 35
Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889
Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889
Did I do it right? If the measure of ∠DAB=51∘, ∠CAB=x, and ∠DAC=x+1, find the measure of ∠CAB
Answers
If the measure of angles ∠DAB = 51° and the value of x is 25. Then the measure of angle ∠CAB will be 25°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
If the measure of angles ∠DAB = 51°, ∠CAB = x, and ∠DAC = x + 1.
Then the measure of angle ∠CAB will be
We know
∠CAB + ∠CAD = ∠DAB
x + x + 1 = 51
2x = 50
x = 25
Then the measure of the angle ∠CAB will be
∠CAB = x
∠CAB = 25
∠CAB = 25°
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the figure below is composed of two quarter circles and one right triangle
Answers
Solve 4x+3>3x+7
This one is so confusing
Answers
Answer:
x>4
Step-by-step explanation:
Answer:
x > 4
Step-by-step explanation:
1. 4x+3>3x+7
2. x>4
you have $5600. The best interest rate you can find is 3%
compounded quarterly, for how long should you deposit the money in order
have $9600? how many years
Answers
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
[tex]\frac{A}{P} = (1 + \frac{r}{n})^{nt}[/tex]
Taking logs on both sides
[tex]log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}[/tex]
This gives
[tex]log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}[/tex]
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years
4x10^2+3x10^3=
Please see the attached photo
Answers
Answer:
3.4
Step-by-step explanation:
Converting all terms to multiples of 10³ :
4 × 10² + 3 × 10³0.4 x 10³ + 3 x 10³(0.4 + 3) × 10³3.4 × 10³1: In a class of 30 students, half of the students like to watch cartoon channels on TV and one sixth like to watch informative channels. The rest like to watch movies. How many students like to watch movies?
Answers
first, to find what a sixth of 30 is, you have to divide your number by the denominator (30/6) which is 5, then add that to half of thirty (15) to find out how many kids DONT watch movies. 15+5=20, and to find how many kids are remaining you have to do 30-20, which equals 10, meaning there are a total of ten kids who like to watch movies.
Consider the triangle shown in the picture. Express the perimeter of the triangle as an expression in terms of
x
. Simplify your answer.
Answers
Answer:
The perimeter of the triangle is 11x+1
In a linear function, the domain will always be _____ and the range will always be _____
Answers
Answer:
1. x values
2. y values
hope it helps you:)
Please help me math
Answers
Answer:
Diagonal is = 16.97
Step-by-step explanation:
To find the length of a diagonal across a square use this formula
d = √(2×area)Plug in
d = √(2×144)d = √288D = 16 . 97
Kindly Answer This And Don't Waste My PTS! ☁️
PROBLEM NUMBER 1: Solve 5x+2=22
PROBLEM NUMBER 2: Solve 2x+5=12
PROBLEM NUMBER 3: Solve 2x-5=7
Answers
====================================
[tex] \large \sf \underline{Problems:}[/tex]
PROBLEM NUMBER 1: Solve 5x+2=22PROBLEM NUMBER 2: Solve 2x+5=12PROBLEM NUMBER 3: Solve 2x-5=7====================================
[tex] \large \sf \underline{Answers:}[/tex]
[tex] \large \qquad \qquad \bold{ \#1. \: x \: = \: 4}[/tex]
[tex] \large \qquad \qquad \bold{ \#2. \: x \: = \: \frac{7}{2} }[/tex]
[tex] \large \qquad \qquad \bold{ \#3. \: x \: = \: 6}[/tex]
====================================
[tex] \large \sf \underline{Solutions:}[/tex]
Problem Number 1:-[tex] \large\rm{5x \: + \: 2 \: = \: 22}[/tex][tex] \large\rm{5x \: = \: 22 \: - \: 2}[/tex][tex] \large\rm{5x \: = \: 20}[/tex][tex] \large\rm{x \: = \: \frac{20}{5} }[/tex][tex] \large\rm\green{x \: = \: 4}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 4.
====================================
Problem Number 2:-[tex] \large\rm{2x \: + \: 5 \: = \: 12}[/tex][tex] \large\rm{2x \: = \: 12 \: - \: 5}[/tex][tex] \large\rm{2x \: = \: 7}[/tex][tex] \large\rm\green{x \: = \: \frac{7}{2} } [/tex][tex] \therefore[/tex] The answer of you're problem is 7/2.
====================================
Problem Number 3:-[tex] \large\rm{2x \: - \: 5 \: = \: 7}[/tex][tex] \large\rm{2x \: = \: 7 \: + \: 5}[/tex][tex] \large\rm{2x \: = \: 12}[/tex][tex] \large\rm{x \: = \: \frac{12}{2} } [/tex][tex] \large\rm\green{x \: = \: 6}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 6.
====================================
Hope this helps!
Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]
Answers
Please answer! Will give brainliest please and thank you
Answers
Answer:
119 square ft is the answer now give me brainliest
Which of the following images shows only parallel lines highlighted in red? Figure A has four line segments connected to form a square, with the circle in the upper left corner colored red. Figure B has four line segments connected to form a square, the line segment on the right and the bottom line segment connect at the vertex and are colored red. Figure C has four line segments connected to form a square, with the bottom line segment colored red. Figure D has four line segments connected to form a square, with the top line segment and the bottom line segment colored red. Group of answer choices Figure A Figure B
Answers
Expla; suauyes
