Joseph paints ornaments for a school play. Each ornament is made up of two identical cylinders, as shown. All surfaces of each cylinder must be painted. How many cans of paint does he need to paint 75 ornaments?
PLEASE HELP ME BIG GRADE!!!!!!!!!
Answers
Number of cylindrical cans of paint does he need to paint 75 ornaments is 20.
What is the Surface Area of a Cylinder?The total area that the cylinder's curved surface and round bases enclose is referred to as its surface area. The cylinder's total surface area consists of the curving surface as well as the areas of the two bases, each of which is shaped like a circle. A cylinder is a 3D solid object made up of two circular bases connected by a curving face.
Surface Area of Cylinder = 2πrh+2πr²
where , r is radius of cylinder=4.6cm
H is height of cylinder=2*6.5cm=13cm
A=2×π×4.6×13+2×π×4.6²≈508.68668cm²
Total Number of cans of paint needed to paint 75 ornaments=75×508.68668
/1900=20.
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Related Questions
PLEASE HELP ASAP!!!
Dontaya is at the top of a lighthouse
which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees. How far is Brace's boat from the bottom of the lighthouse? (round your FINAL
answer to the nearest whole foot)
Answers
Brace's boat is 225 feet from the bottom of the lighthouse.
What do you mean by trignoemtry?
Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.
Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.
Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.
It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees
Let Brace's boat is x feet from the bottom of the lighthouse.
Using trignometric ratios,
tan 48 = \(\frac{P}{B}=\frac{250}{x}\)
1.11 = \(\frac{250}{x}\)
x = \(\frac{250}{1.11} = 225.23\) ≈ 225 feet
Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.
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(1+5 to the 2)−16 1 over 2 to the power of 3
Answers
Answer:
24
Step-by-step explanation:
The diagonals of a square is 12cm each calculate the area
Answers
Given
The diagonals of a square is 12cm each calculate the area
Solution
From the properties of a square
All sides are equal
Let each side be x
Using pythagoras
\(\begin{gathered} 12^2=x^2+x^2 \\ 12^2=2x^2 \\ 144=2x^2 \\ divide\text{ both sides by 2} \\ \frac{144}{2}=\frac{2x^2}{2} \\ x^2=72 \\ x=\sqrt{72} \\ x=6\sqrt{2} \\ \end{gathered}\)Now
\(\begin{gathered} Area\text{ of a square =}x\times x \\ Area\text{ of a square = 6}\sqrt{2}\times6\sqrt{2} \\ Area\text{ of a square=6}\times6\times\sqrt{2}\times\sqrt{2} \\ Area\text{ of a square =36}\times\sqrt{4} \\ Area\text{ of a square =36}\times2 \\ The\text{ area of the square is 72cm}^2 \end{gathered}\)The final answer
The diagonals of a square is 12cm, the area will be
\(72cm^2\)
The cost of 12 widgets is $7.50. How much will it cost to buy 52 widgets?
Answers
Answer:
$32.50
Step-by-step explanation:
To answer this question, find the price per widget by dividing $7.50 by the number of widgets (12)
7.50 / 12 = 0.625
You may be tempted to round to 0.63 here, and maybe that is what your teacher wants, but typically you save rounding for the end of your calculations. So let's keep the price-per-widget at 0.625 and multiply it by the 52 widgets to find the total cost.
0.625 * 52 = 32.5 or $32.50
x = $7.50*52/12
x = $32.5
A researcher claims that 45% of students drop out of college. She conducts a hypothesis test and rejects the null hypothesis. What type of error could have been committed here?
A.
Power of the test
B.
Type II
C.
There are never errors in hypothesis testing
D.
Type I
Answers
The type of error that could have been committed in this scenario is a Type I error.
In hypothesis testing, a Type I error occurs when the null hypothesis is rejected, even though it is true. It means that the researcher incorrectly concludes that there is a significant result or effect when there is actually no real effect present in the population. In this case, if the researcher rejects the null hypothesis that the dropout rate is 45% and concludes that it is different, she might be committing a Type I error if the null hypothesis is actually true.
A Type II error, on the other hand, occurs when the null hypothesis is not rejected, even though it is false. It means that the researcher fails to detect a significant result or effect when there is actually a real effect present in the population. The question states that the null hypothesis is rejected, so a Type II error is not relevant in this situation.
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The sales tax for an item was $26.40 and it cost $440 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answers
Answer: 6% sales tax rate
Step-by-step explanation:
Scott y Mark fueron a escalar. Scott subió a la cima de un risco de 75 pies, y desde allí le arrojó una soga de 96 pies a Mark, que estaba debajo de él en tierra. Si la soga quedó tirante desde los pies de Mark hasta los pies de Scott, ja qué distancia de la base del acantilado (directamente debajo de Scott) se encuentra parado Mark? Dibuja un diagrama y coloca los datos. Luego calcula la longitud faltante. ¿Es irracional la longitud?
Answers
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|_______|___________________________>
Scott 75 ft
```
Según el problema, Scott arrojó una soga de 96 pies a Mark. Debido a que la soga quedó tirante desde los pies de Mark hasta los pies de Scott, podemos usar el teorema de Pitágoras para encontrar la distancia de Mark a la base del acantilado.
Entonces, tenemos que la hipotenusa es la longitud de la soga (96 pies) y la longitud vertical es la altura de Scott (75 pies). Sea x la longitud horizontal que estamos buscando. Por lo tanto, podemos escribir:
x^2 + 75^2 = 96^2
Resolviendo para x, tenemos:
x^2 = 96^2 - 75^2 = 2301
x = sqrt(2301) = 48.01
Por lo tanto, Mark está parado a 48.01 pies de la base del acantilado. La longitud es racional, aunque no es un número entero.
-9y + 4x - 20 = 0
-7y + 16 - 80
Answers
Answer:
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 6.1 cm . Round your answer to the nearest tenth of a cubic centimeter
Answers
Answer:
150.39 cubic centimeter
Step-by-step explanation:
The computation of the volume of a pyramid with a square base is given below:
The Volume of a pyramid with a square base is
\(= a^2 \frac{h}{3}\)
Here a denotes the base
And, the h denotes the height
So,
\(= 8.6^2 \frac{6.1}{3}\)
= 150.39 cubic centimeter
Answer: 9.4 cm3
Step-by-step explanation:
La banqueta que rodea un jardín rectangular es de 4 metros de ancho. El jardín tiene
12 metros más de largo que de ancho. Si el área del jardín con la banqueta es de 1,728
m2, ¿cuáles son las dimensiones del jardín?
Tomar en cuenta que:
Ancho del jardín (sin banqueta): x
Answers
Answer:
jbhbchbhvbbhcbrhfbcbhshshbhsvhbhv;b;rvbhbhcrbihcbhc
Step-by-step explanation:
Write the expression 4 divided by the sum of X and 7
Answers
Answer:
4/(x + 7)
Step-by-step explanation:
4 is being divided by x + 7 here. You can't combine x and 7 because they're not like terms.
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?
Answers
Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.
Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?
a. 5,730 years old
b. 34,380 years old
c. 40,110 years old
d. 45,840 years old
You are planning your week-end schedule. You can spend at most 8 hours playing video games and doing homework. You want to spend less than 2 hours playing video games. You must spend at least 1.5 hours on homework. Which of the following is the system of equations that would represent this situation? Let v = number of hours spent playing video games and let h = the number of hours spent on homework.
Answers
Answer:
V=1.7 hours H=2 hours
Step-by-step explanation:
A square with a side length of 40 meters was created from a square with a side length of 2.5 meters using a scale factor. What is the scale factor?
100:1
72:1
36:1
16:1
Answers
The right response is therefore 16:1 as The bigger square in this instance is 40 meters long.
what is square ?A square is a quadrilateral in geometry that has four equal-length sides and four right angles. Moreover, it is a parallelogram and a variety of rectangle. The symbol is frequently used to denote a square. One of a square's sides can be squared to determine its area, and one of its sides can be multiplied by four to determine its perimeter. In several branches of mathematics, such as geometry, algebra, and calculus, squares are used.
given
By dividing a larger square's side length by its equivalent smaller square's side length, the scale factor may be calculated.
The bigger square in this instance is 40 meters long, whereas the smaller square is only 2.5 meters long. The scaling factor is as a result:
40 / 2.5 = 16
The right response is therefore 16:1 as The bigger square in this instance is 40 meters long.
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Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
Answers
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A = [7 3 4 3] B = [7 2 7 2] C = [3 3 4 0 0 8] D = [10 30 30 30 30 0] 5(X - C) = D x = []
Answers
After solving the equation 5(X - C) = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
In the question ,
it is given that , the matrices are
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .
and the equation is given as 5(X - C) = D ,
and we have to find the value of unknown matrix X .
let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)
Substituting , the given matrices A , B , C and D in the equation 5(X - C) = D ,
we get ,
5(X - C) = D ,
5X - 5C = D ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)
Simplifying further ,
we get ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)
Dividing both sides by 5 ,
we get ,
X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)
Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
The given question is incomplete , the complete question is
Solve the matrix equation for the unknown matrix X.
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is
5(X - C) = D .
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there are 500 kids voting for the class President. 245 students voted for candidate a while 255 students voted for candidate b. What is the experimental probability of pulling a ballot for candidate a out of the box?
Answers
Answer:
Candidate A has a 49% chance of being picked out of the box
Step-by-step explanation:
245/500= 0.49
0.49 x 100 = 49
49%
write an inequality that represents the graph
Answers
Answer:
x is less than or equal to 4. Not sure how you would type that out on the slide though. :\
Step-by-step explanation:
beyond struggling pls help
FIND THE FOLLOWING MEASUREMENTS
Answers
Check the picture below.
well, ∡CED is the same as ∡CEA and those are right-angles so those are pretty much given, now
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{29}\\ a=\stackrel{adjacent}{20}\\ o=\stackrel{opposite}{CE} \end{cases} \\\\\\ CE=\sqrt{ 29^2 - 20^2}\implies CE=\sqrt{ 841 - 400 } \implies CE=\sqrt{ 441 }\implies \boxed{CE=21} \\\\\\ \stackrel{\textit{since we know the radius CB=29}}{CB-CE = EB\implies }\boxed{EB=8}\)
Answer:
angle CED 90°. CE = 21. EB = 8.
Step-by-step explanation:
angle CED = 90° (right angle).
the radius (centre to edge) is the same right around the circle.
so that means that distance CD = 29.
draw a line from C to D. notice how that has just become an hypotenuse?
we know that DE = 20.
we have a right-angled triangle.
CE² = hypot² - DE²
= 29² - 20²
= 841 - 400
= 441
CE = √441 = 21.
EB must be radius subtract CE. that is, 29 - 21 = 8.
I need these questions done please 15 points and Brainleest show working out please
Answers
1) C = 3.14 × 1 cm
or, C = 3.14 cm
2) C = 2 × 3.14 × 5m
or, C = 3.14 × 10m
or, C = 31.4 m
3) C = 2 × 22/7 × 14 cm
or, C = 28 × 22/7 cm
or, C = 4 × 22 cm
or, C = 88 cm
4) L = 90/360 × 2 × 22/7 × 5 cm
or, L = 1/4 × 10 × 22/7 cm
or, L = 220/28 cm = 55/7 cm
or, L = 7 whole 6/7 cm
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:de
Step-by-step explanation:
(-3,y) and ( 1,-7); m =-4
Answers
Answer:
y = 9
Step-by-step explanation:
I dont get the question.
if you are trying to find y, (-7-y)/(1-(-3)) = -4
(-7-y)/4 = -4
-7-y = -16
-y = -9
y = 9
23.3238 rounded to the nearest hundreath
Answers
Answer:
23.32
Step-by-step explanation:
the hundredths place is the 2 spot after the decimal
and if the # to the right of that # is 5 or grater you add a one
if it is 4 or lower you keep the # the same
23.3238
because 3 is next to the second place the 2 just stays the same
so now it's
23.32
Given g(x) = − 4x + 8, identify the domain, range, and x-intercept of the function.
Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0)
Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−2, 0)
Domain: −4 < x < 8; Range: − 4 < y < ∞; x-intercept (2, 0)
Domain: −4 < x < 8; Range: −∞ < y < 4; x-intercept (−2, 0)
Answers
Domain of a function means all possible inputs or all the numbers that can be put in place of x to get some output
Range of a function means all possible outputs or all the numbers that are the result of all the inputs or value of y
Intercept is the point on graph whose one coordinate is zero. There are two types of intercepts - X intercept where the y coordinate is zero and Y intercept where the value of x coordinate is zero
the function given is g (x) = -4x +8
The domain of the given function is all real numbers or - infinite < x< infinite
The range of the given function is all real numbers or - infinite < x< infinite
The x intercept of of the given function is where y = 0
so, 0 = -4x + 8
-8 = -4x
x = 2
The x intercept is (2,0)
Hence, the domain, range, and x-intercept of the function g(x) = − 4x + 8 are Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0) which is first option
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Step-by-step explanation:
Took test
What is the tangent ratio of angle KJL?
Answers
Answer: (1)
Step-by-step explanation:
Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.
This means that the tangent is 24sqrt3 / 24.
Idil drove 12 miles in 1/5 of an hour. On average how fast did she drive in miles per hour
Answers
If Idil drove 12 miles in 1/5an hour on average, then she drove at an average speed of 60 miles per hour.
To calculate the average speed of Idil's car in miles per hour, we need to divide the distance she drove (12 miles) by the time it took her to drive that distance (1/5 hour):
Average speed = distance ÷ time
Average speed = 12 miles ÷ (1/5) hour
To divide by a fraction, we can multiply by its reciprocal, so:
Average speed = 12 miles × 5/1 hour
Average speed = 60 miles per hour
Therefore, Idil drove at an average speed of 60 miles per hour.
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Work out the length of x.
X
12 cm
5 cm
Answers
The value of the length of x is 13.
We have,
The given triangle is a right triangle.
So,
Applying the Pythagorean theorem,
x² = 5² + 12²
x² = 25 + 144
x² = 169
x = √169
x = 13
Thus,
The value of the length of x is 13.
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Halim has 32 gallons of paint. He determines that he needs 3 times
as much as that amount for a project he is doing. How much paint
does he need? Write an equation to model the problem.
Answers
Answer: He needs 96 gallons
Step-by-step explanation:
32*3 is 96. For example, Max has 32 books, and he gets triple the amount. How much does he have?
Simplify using the associative property.
(-4) • (-7.2) • (-5)
Answers
Answer: -144
Step-by-step explanation:
all you have to do is multiply -4 times -7.2 times -5.
The dots between the numbers are multiplication signs.
Use Trigonometric substitution to eliminate the roots 1.1. 164+2 + 1 Use Trigonometric substitution to eliminate the roots 1.1. V64+2 + 1 1.2. V4z2 – 49
Answers
To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.
1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:
V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49
We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:
V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)
Here is a more detailed explanation of the substitution:
In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.
When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3
In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.
When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)
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if i have 18 pounds of cheese how many pizza can i make
Answers
Answer:
You can probably make about 19 Pizzas because on every pizza there's a bit less than a pound of cheese so I guess you could make 19-20 pizzas. :)
Step-by-step explanation: