Answer:
The heat from the sun or heat released from the filament of a light bulb is the example of radiation.
what is the surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters
The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.
The surface area of a cone is calculated using the following formula:
Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.
In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.
l² = 12² + 42²
l² = 1764
l = 42.01 meters
The surface area of the cone is then calculated as follows:
Surface area = πr² + πrl
Surface area = 3.14 * 12² + 3.14 * 12 * 42.01
Surface area = 1,670.5 square meters
Here are some additional explanations:
The radius of a circle is the distance from the center of the circle to any point on the edge of the circle.The slant height of a cone is the distance from the vertex of the cone to any point on the edge of the base of the cone.The surface area of a cone is calculated by adding the area of the base of the cone and the area of the lateral surface of the cone.The area of the base of a cone is calculated using the formula πr².The area of the lateral surface of a cone is calculated using the formula πrl.To know more about area click here
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Make q the subject of the relation
Answer:
q = rt²÷ p-r³
Step-by-step explanation:
If you are smart enough, you will grab the gist
pls help :) plssssss
Answer:
I'm kinda guessing 35 degrees.
Step-by-step explanation:
It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.
Answer:
35 degrees im pretty sure
Step-by-step explanation:
goodluckk
I need some help with this
the solid is really just a right-cylinder missing a chunk.
so a full circle is 360°, now from the one in the picture above we're missing 90°, that means the cylinder is only using 270°, 360-90=270.
Well, 270° is just 3/4 of a full circle, and since the circle extends all the way down the solid cylinder, we can also say that's 3/4 of the volume of the cylinder, so hmmm let's just get the full volume of the cylinder with a radius of 6 and a height of 12 and then only grab 3/4 of it.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=12 \end{cases}\implies V=\pi (6)^2(12)\implies V=432\pi \\\\\\ \stackrel{\textit{now let's just grab }\frac{3}{4}}{432\pi \cdot \cfrac{3}{4}}\implies 324\pi ~~ \approx ~~ \text{\LARGE 1017.88}\)
help pweaz someone I need help and fast
sin(2x)cos(7x) - cos(2x)sin(7x) = 0.1
Answer:
x≈-0.0200335+2kπ/5
x≈-0.648352+2kπ/5
Step-by-step explanation:
sin(-5x)=0.1
-sin(5x)=0.1
sin(5x)=-0.1
sin(5x)=1/10
5x=arcsin(- 1/10)
5x=π-arcsin(- 1/10)
5x=π-arcsin(- 1/10)
5x=π-arcsin(- 1/10)+2kπ
5x=π-arcsin(- 1/10)+2kπ
x=arcsin (1/10)/5 + 2kπ/5
x=arcsin (1/10)/5 + 2kπ/5
x≈-0.0200335+2kπ/5
x≈-0.648352+2kπ/5
Indicate the answer choice that best completes the statement or answers the
question.
Which point is closest to 29 on the number line?
А
B
с
D
0
1
2 3 4 5 6 7 8
9 10
Oa. A
Oь. С
Oc.D
Od. B
Answer:
option d
Step-by-step explanation:
root of 29 = 5.39 (rounded)
in the line, point B is closest to that value.
I"M SO DONE WITH BOTS SOMEBODY PLEASE HELP ME
Therefore, your answer would be "30".
Hoped this helped.
\(BrainiacUser1357\)
Mya has an exercise ball in the shape of the sphere shown below.She wants to increase the weight of the ball by filling it with water. Which is closest to the amount of water in cubic inches,that Mya's exercise ball will hold if it is completely full?
Answer: Volume of a sphere = 4/3 * pi * r^3 r = radius of sphere pi~ 3.14
Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)
The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
What is the volume of a sphere?The volume of a sphere is the volume of space occupied by a sphere. It is given by the formula:
\(\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3\)
As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,
\(\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3\)
As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,
\(\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.\)
Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,
\(\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3\)
Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.
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An angle that measures from the horizontal upward to an object is called the angle of ________, whereas an angle that measures from the horizontal downward to an object is called the angle of ________.
An angle that measures from the horizontal upward to an object is called the angle of elevation, whereas an angle that measures from the horizontal downward to an object is called the angle of depression.
The angle of elevation is commonly used in surveying, navigation, and construction to determine the height of objects, such as buildings, towers, and mountains.
To find the height of an object using the angle of elevation, one needs to measure the distance between the observer and the object and the angle between the horizontal and the line of sight from the observer to the top of the object. By applying trigonometry, one can then calculate the height of the object.
On the other hand, the angle of depression is often used to measure the depth of objects, such as wells, valleys, and caves.
To find the depth of an object using the angle of depression, one needs to measure the distance between the observer and the object and the angle between the horizontal and the line of sight from the observer to the bottom of the object. Again, by applying trigonometry, one can then calculate the depth of the object.
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Determine the function which corresponds to the given graph. (3 points)
A natural logarithmic function crossing the y axis at zero and going through the point 2,1.
The asymptote is x = -1.
what grade level is this
My son needs help on finding percents. example. what is 53% of 80?
According to the information given in the exercise, you know that the 100% is 80.
Let be "x" the number that is the 53% of 80.
By definition, you can write 53% as a Decimal number by dividing it by 100. Then, this is:
\(\frac{53}{100}=0.53\)You can write 100% as a Decimal number:
\(\frac{100}{100}=1\)Knowing the above, you can set up the following proportion:
\(\frac{80}{1}=\frac{x}{0.53}\)Now you must solve for "x":
\(\begin{gathered} (0.53)(80)=x \\ x=42.4 \end{gathered}\)The answer is:
\(42.4\)A survey of 170 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 68 of the 170 students responded "yes." An approximate 98% confidence interval is (0.313,0.487). Complete parts a through d below. a) How would the confidence interval change if the confidence level had been 90% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 255 instead of 170 ? (Assume the same sample proportion.) The new confidence interval would be The new confidence interval would be (.203,.331). (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.)
a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).
b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).
c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).
a) First, we find the mean of the original confidence interval:
Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4
Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435
New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)
where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.
From the standard normal distribution table, we find:
\(Z_{90}\) ≈ 1.645
\(Z_{98}\) ≈ 2.326
New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306
Finally, we construct the new confidence interval using the adjusted margin of error:
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0306, 0.4 + 0.0306)
≈ (0.3694, 0.4306)
Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.
b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)
where \(p_{hat}\) is the sample proportion and n is the sample size.
Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:
\(p_{hat}\) = 68 / 255 ≈ 0.267
Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028
For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.
New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065
New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)
= (0.267 - 0.065, 0.267 + 0.065)
≈ (0.202, 0.332)
Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.
c) From the standard normal distribution table, we find:
\(Z_{99}\) ≈ 2.576
New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0482, 0.4 + 0.0482)
≈ (0.3518, 0.4482)
Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.
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Correct answer will be awarded with brainliest answer
Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.
Answer:
simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month
Step-by-step explanation:
How to count the magnitude of a vector?
The magnitude of a vector can be counted by using the Pythagorean theorem.
What is the Pythagorean theorem ?The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle ).
Using the Pythagorean Theorem to find the magnitude involves finding the square root of the sum of the squares of the vector's components. In mathematical terms, the magnitude of a vector with components (x, y, z) is given by the formula:
|V| = √ ( x ² + y ² + z ² )
In conclusion, to count the magnitude of a vector, you need to determine its components and then perform the calculation using the formula.
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find the missing side length
PLEASE HELP ME , I WILL GIVE BRAINLIST
Answer:
16
Step-by-step explanation:
50 pts HELP IMMEDIATELY
The area of the sector is determined as 39.3 cm².
What is the area of ABC?The area of sector ABC is calculated as follows;
The area of a sector can be calculated using the following formulas,
Area of a Sector of Circle = (θ/360º) × πr²
where;
θ is the sector angle subtended by the arc at the center, in degrees,r is the radius of the circleThe angle subtended by this sector = 0.785 radians = 45⁰
The radius of the sector = 10 cm
The area of the sector is calculated as follows;
A = ( 45 / 360) x π x ( 10²)
A = 39.3 cm²
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Which expression is equivalent to this polynomial?
6x^2 + 10x − 56
Answer:
third option
Step-by-step explanation:
4(x - 4) + 2(3x² + 3x - 20) = 4x - 16 + 6x² + 6x - 40 =
= 6x² + 10x - 56
correct.
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
top left
Step-by-step explanation:
How much would your total be if you bought 2 lbs of ground
beef and 1 lb of steak?
Beef:$5.99$ per lb
Steak:$9.99 per lb
Answer:
$21.97
Step-by-step explanation:
2(5.99)+ 1(9.99) = 11.98 + 9.99 = 21.97
Factorization x2-4x+24
Answer:
x^2 - 4x + 24 cannot be factored.
help with decimals from least to greatest
Answer: 3.78, 3.8, 4.253, 4.258, 4.6
Step-by-step explanation:
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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Identify the interval of increase of the given function.
Answer
The interval of increase of the given function is x > -2.5.
This can be written in interval form as (-2.5, ∞)
Explanation
The interval of increase of the function refers to the range of values of the independent variable (x), where the graph is sloping positively, that is, the region of the graph that shows where the dependent variable (y) is increasing.
From the graph, we can see that the graph slopes negatively, that is, the values of y keep decreasing as we move from left to right at values of x less than -2.5, but at the point where x = -2.5, the sloping changes (this point is called the vertex of the graph or function; it is the point where the graph changes from increasing to decreasing or from decreasing to increasing).
We can also see that at values of x greater than -2.5, the graph slopes positively and the values of y increases as we move from left to right.
So, the interval of increase of the given function is x > -2.5.
This can be written in interval form as (-2.5, ∞)
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lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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A plane leaves the ground with an elevation angle of 6 degrees. The plane travels 10 miles horizontally.How high is the plane at the time?What's the distance of the plane's path?
Answer
The height of the plane at that time is 1.1 miles
The distance of the plane's path is 10.1 miles
Explanation
The situation models a right angle triangle as shown below
Using trigonometric ratio,
tan 6° = opposite / adjacent
The opposite side of the triangle is the height of the plane. The distance traveled horizontally is the adjacent side. Therefore,
\(\begin{gathered} \tan 6^{^0}=\frac{a}{10} \\ 0.1051=\frac{a}{10} \\ \text{Cross multiply} \\ a=10\times0.1051 \\ a=1.051 \end{gathered}\)The height of the plane at that time ≈ 1.1 miles
The hypotenuse of the triangle formed is the distance of the plane path.
Therefore, this distance can be calculated using Pythagoras rule as follows:
\(\begin{gathered} c^2=a^2+b^2 \\ a=1.051\text{ miles} \\ b=10\text{ miles} \\ \Rightarrow c^2=1.051^2+10^2 \\ c^2=1.104601+100 \\ c^2=101.104601 \\ c=\sqrt[]{101.104601} \\ c=10.05507837\text{ miles} \end{gathered}\)The distance of the plane's path = 10.1 miles
The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram
Answer:
Here we want to create a histogram of:
Number of houses Vs day.
First you need to create a rectangular coordinate axis.
In the x-axis you will divide the days as:
day 1, day2, day3 etc
in the y-axis you will measure the number of houses visited.
then, for the first day our height will be 12 units
for the second day, our height will be 28 units...
and so on.
Remember that for histograms you need to use columns.
Then, our histogram will look like:
what is the slope of the line that passes through the points (2,1) and (17,-17)
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
Let A and B be square matrices. Show that even though AB may not equal BA, detAB will always equal detBA.
This result is a consequence of the fact that the determinant is a multiplicative function, i.e., det(AB) = det(A)det(B) for any square matrices A and B.
To see this, let C = BA. Then we have
det(C) = det(BA) = det(B)det(A)
On the other hand, we also have
det(C) = det(AB) = det(A)det(B)
Therefore, det(B)det(A) = det(A)det(B), which implies that det(AB) = det(BA).
In summary, even though AB may not equal BA, the determinant of AB is always equal to the determinant of BA, thanks to the multiplicative property of the determinant.
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