Find the surface area of the composite solid. Round your answer to the nearest hundredth.
The surface area is about square centimeters.
WILL GIVE BRAINLIEST
Answers
The surface area of the composite figure is about 98.56 sq.cm
What is the surface area of the composite figure?The composite figure is made up of a cylinder and a cuboid.
The formula for surface area of a cylinder is:
A = 2πr² + 2πrh
In this case, we only have top and not bottom. Thus:
A = πr² + 2πrh
A = π(1)² + 2π(1 * 6)
A = 37.7 sq.cm
Surface area of cuboid is:
A = 2(4 * 4) + 4(2 * 4) - π(1)²
A = 32 + 32 - π
A = 60.86 sq.cm
Total surface area = 37.7 sq.cm + 60.86 sq.cm
= 98.56 sq.cm
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Related Questions
Give the equation of the circle centered at the origin and passing through the point (0, 6).
Answers
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of
Answers
Answer: The answer is B and im 100% correct
Step-by-step explanation:
Find the indicated vector
Answers
Answer:
(d) 5i -j
Step-by-step explanation:
You want the value of the expression 2u -v where u=3i and v=i+j.
SubstitutionUse the given definitions of u and v, and simplify in the usual way.
2u -v = 2(3i) -(i+j)
= 6i -i -j . . . . . . . . . eliminate parentheses
= 5i -j
__
Additional comment
The unit vectors i and j can be treated as though they were variables. The usual properties of equality and (scalar) arithmetic apply.
Find the value of x,y and z in the rhombus below
Answers
Answer:
-10x - 8 + 98 = 180
-10x + 90 = 180
-10x = 90
x = -9
-y - 5 = 98
-y = 103
y = -103
-2z + 8 + 98 = 180
-2z + 106 = 180
-2z = 74
z = -37
What are the coordinates of point c?
(-2.5, 0)
(0, -2.5)
(0, -3)
(-3, 0)
Answers
Answer A (-2.5 , 0)
Answer:
0, -2.5
Step-by-step explanation:
First find the latitude coordinate (N-S)
=0
2nd find the longitude coordinate (W-E)
=-2.5
since it's between -3 and -2, we'll put a decimal 5 (.5)
When an object is dropped vertically from a platform, its height after
seconds can be estimated with the formula shown.
ℎ=ℎ0−162
ℎ
is the height of the object in feet.
ℎ0
is the initial height of the object in feet.
is the time in seconds after the drop.
Which equation and solution tells how long it takes the object to reach a height of 96
feet if its initial height is 208
feet?
Answers
An equation and solution that tells how long it takes the object to reach a height of 96 feet if its initial height is 208 feet is:
D. 96 = 208 - 16t²
t = √7
How to determine the time when the object would reach a height of 96 feet?Based on the information provided, we can logically deduce that the height (h) in feet, of this object above the ground is related to time by the following quadratic function:
h(t) = h₀ - 16t²
When the initial height is 208 feet and final height is 96 feet, the height function becomes;
h(t) = h₀ - 16t²
96 = 208 - 16t²
16t² = 208 - 96
16t² = 112
t² = 112/16
Time, t = √7 seconds.
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The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
Answers
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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What is the area of this polygon?
Answers
Answer:
78
Step-by-step explanation:
(5+8)×12/2=78
(5+8)×12/2=78
looking for answer and explination
Answers
1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98
Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.
for the above prompt , we have to use the formula:
l (x) = f(a) + f' (a) (x-a)
where (a) is the value fo the function at point a
and f' (a) is the derivative of the function evaluated at point a.
Using a = 1, f(a) becomes:
f(1) = 2 (1) ⁵ - 8 (1) + 5
f (1) =-1
f(x) = 10x⁴ -8
So f' (1 ) when evalutated will give us the slope of the tangent line at x =1
Thus,
f (1 ) = 10 (1)⁴ -8
= 2
Hence substituting all the values into th e linearization formula we get:
l(x) = f( 1) + f '(1) (x-1)
= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3
This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3
b) Given the l(x) above, f(1.01) gives us:
l(x) = 2x -3
= 2 (1.01) -3
= - 0.98
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Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza
Answers
The variance of the data-set in this problem is given as follows:
81 units squared.
How to obtain the variance of the data-set?The standard deviation for the data-set in this problem is given as follows:
9 units.
The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.
Hence the variance of the data-set in this problem is given as follows:
(9 units)² = 81 units².
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full method please
-8+27÷(-3)-(-2)
Answers
The solution of the expression -8+27÷(-3)-(-2) is determined by applying the rule of BODMAS as -35.
What is the solution of the expression?
The solution of the expression is calculated by applying the following formula as shown below;
BODMAS;
B - stands for bracketO - stands for ofD - stands for divisionM - stands for multiplicationA - stands for AdditionS - stands for subtractionBased on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.
-8+27÷(-3)-(-2) = -8+27÷ -1
-8+27÷ -1 = -8 - 27
-8 - 27 = - 35
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PLEASE HELP ME SOLVE THIS FOR BRAINILEST
Answers
Answer:
Point B and Point G are opposite rational numbers because they are the same distance away from 0
Step-by-step explanation:
-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number
The answer essential relates to the absolute value (how far a number is away from 0; always a positive value
We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line
-4/3:
-4/3 is -4/3 units to the left of 0. To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number
4/3:
4/3 is 4/3 units to the right of 0. To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left. Thus, 4/3 is simply 4/3 units away from 0:
Given X = [b a / 4 a] , Y = [c d / a b] , and Z= [a c / 16 b]
What is Y if X-2Y=Z?
[2 -4/ -6 -2]
[4 -8/ -12 -4]
[-4 8/ 12 4]
[12 0/ 12 -12]
Answers
Answer:
[2 -4/ -6 -2]
Step-by-step explanation:
To solve for Y, we need to rearrange the equation X-2Y=Z to isolate Y.
X - 2Y = Z
2Y = X - Z
Y = (X - Z)/2
Now we substitute the given matrices for X and Z, and solve for Y:
X =
[b a
4 a]
Z =
[a c
16 b]
X - Z =
[b-a a-c
-12 a-b]
Y = (X - Z)/2 =
[(b-a)/2 (a-c)/2
-6 (a-b)/2]
So the answer is Y = [ (b-a)/2, (a-c)/2 / -6, (a-b)/2 ].
Therefore, the answer is (a) [2 -4/ -6 -2].
The calculated value of the matrix Y is [tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
Calculating the matrix YFrom the question, we have the following parameters that can be used in our computation:
The matrix definitions
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as
[tex]Y = \left[\begin{array}{cc}c&d\\b&a&\end{array}\right][/tex]
So, we have
[tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
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Find the value of x 30 degrees and 50 degrees
Answers
Answer: I think its 1500x
Step-by-step explanation: I multiplied them both.
Hope it helped :D
Answer:
1500000000000
Step-by-step explanation:
i don't know how but the answer is pretty easy but I don't feel like it so yeah there's
11 zero s
In a jar of lollies there are 6 more orange lollies than green ones and there is only one red lolly. If there are 47 lollies in the jar, how many orange ones are there?
Answers
Answer:
Let's use "g" to represent the number of green lollies in the jar.
According to the problem, there are 6 more orange lollies than green ones, so the number of orange lollies is "g + 6".
We also know that there is only one red lolly.
The total number of lollies in the jar is 47, so:
g + (g + 6) + 1 = 47
Simplifying the equation:
2g + 7 = 47
Subtracting 7 from both sides:
2g = 40
Dividing by 2:
g = 20
So there are 20 green lollies in the jar.
And since there are 6 more orange lollies than green ones, there must be:
g + 6 = 20 + 6 = 26 orange lollies in the jar.
Step-by-step explanation:
If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=
Answers
csc(x) = 2 = 1/sin(x)
Solving for sin(x), we get:
sin(x) = 1/2
Next, we can use the half-angle formulas to find the values of sin(x/2), cos(x/2), and tan(x/2):
sin(x/2) = ±√[(1 - cos(x))/2] = ±√[(1 - √(1 - sin^2(x)))/2] = ±√[(1 - √(1 - (1/2)^2))/2] = ±√[(1 - √3/2)/2] = ±√[(2 - √3)/4]
cos(x/2) = ±√[(1 + cos(x))/2] = ±√[(1 + √(1 - sin^2(x)))/2] = ±√[(1 + √(1 - (1/2)^2))/2] = ±√[(1 + √3/2)/2] = ±√[(2 + √3)/4]
tan(x/2) = sin(x/2)/cos(x/2) = [±√(2 - √3)]/[±√(2 + √3)] = (2 - √3)/(2 + √3) = (√3 - 1)/(√3 + 1)
Note that the plus or minus signs in the formulas for sin(x/2) and cos(x/2) depend on the quadrant in which x lies. Since we know that 90° < x < 180°, we can conclude that sin(x/2) and cos(x/2) are both negative. Therefore:
sin(x/2) = -√[(2 - √3)/4]
cos(x/2) = -√[(2 + √3)/4]
tan(x/2) = (√3 - 1)/(1 + √3)
where does the food go when you eat
Answers
Answer:
down your esophagus into your stomach
Step-by-step explanation:
After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.
Please anwser this is all the points I have :)
Answers
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x
Answers
The correct solution of the expression is,
⇒ 16 / e¹²ˣ
We have to given that;
The value of Expression is,
⇒ (2e⁻³ˣ)⁴
Now, We can simplify as;
⇒ (2e⁻³ˣ)⁴
⇒ 2⁴ × e⁻¹²ˣ
⇒ 16e⁻¹²ˣ
⇒ 16 / e¹²ˣ
Thus, The correct solution of the expression is,
⇒ 16 / e¹²ˣ
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What is the amount of your employer's contributions if the company matches 50% of the first 4% of your salary, and you make $72,000 a year?
O $1,440.00
O $1,000.00
O $2,880.00
O $36,000.00
Answers
4% of $72,000 is:
$72,000 x 0.04 = $2,880
50% of $2,880 is:
$2,880 x 0.5 = $1,440
Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.
4% of $72,000 is:
$72,000 x 0.04 = $2,880
50% of $2,880 is:
$2,880 x 0.5 = $1,440
Therefore, the employer's contribution would be $1,440.00. Option A is the correct answer.
a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?
Answers
Answer: y= 1700 (1- .0325) ^15= 1700(.9675) ^15=1700(.60920660)= 1035.65 km Hope this helps!
Step-by-step explanation:To calculate the area of the forest after 5 years, we need to use the formula:
A = A0 * (1 - r/100)^t
PLEASE MARK BRAINLIST
Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?
Answers
Answer: D
Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?
What is a statistical question?
A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
Rewrite the following in the form log(c). log(5) + log(2)
Answers
Answer:
log(10)
Step-by-step explanation:
We can use the product property for logarithms:
log(a)+log(b)=log(ab)
In our case, a=5 and b=2. We can multiply a and b now to get the new number we're taking the logarithm of.
log(2)+log(5)=log(2×5)=log(10)
Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in
Answers
The required, difference between the perimeters of the two rectangles is,
⇒ 46.03 in.
Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.
Then, We get:
k = XY / LM
k = 2.22 / 19
To find the value of k, we can divide 2.22 by 19:
k ≈ 0.117
Hence, The area of rectangle LMNP is given as,
140.6 in².
We can use this to find the length of NP:
LM x NP = area of LMNP
19 x NP = 140.6
NP ≈ 7.4 in
Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:
XY / YZ = LM / NP
2.22 / YZ = 19 / 7.4
YZ ≈ 1.167 in
Now we can calculate the perimeters of both rectangles:
Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in
Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in
Thus, The difference between the perimeters is:
52.8 - 6.77 = 46.03 in
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a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answers
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Answers
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?
A.g(x) = -4 lxl + 3
B. g(x) = -4 lxl - 3
C. g(x) = -4 lx + 3|
D. g(x) = -4 lx - 3l
Answers
Answer:
B
Step-by-step explanation:
When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.
We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.
Answer B.
You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%
Answers
The probability in percentage form is P(divisor of 54) = 29.6%
How to find the probability?The divisors of 54 are:
2, 3, 6, 9 (in the range we care)
Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.
So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:
P(divisor of 54) = 16/54
P(divisor of 54) = 0.296
To write it as a percentage just multiply it by 100%.
P(divisor of 54) = 0.296*100% = 29.6%
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plot the point whose polar cord are (3, -135 degrees) pick graph below
Answers
The plot of the given point must be at.
the third circle and at the 9th ray clockwise from the positive x-axis.
How to plot the point in polar coordinates?Here we want to plot the point (3, -135°).
Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.
Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.
Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)
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Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.
60
40
20
two thirds
Answers
This is because 4/6 is = 40/60