Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.
what is cylinder ?The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.
given
r = d/2 = 40/2 = 20 cm
v = pi *r*r*h
100 = 3.14 * 20*20 *h
100 = 1256*h
h = 0.08 cm
strong box = surface area of cuboid = 45 * 90
= 4050 cm2
surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202
≈2523.3
Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.
To know more about cylinder visit:
https://brainly.com/question/16134180
#SPJ1
How do you know if a quadratic equation can be solved by factoring?
A quadratic equation can be solved by factoring if its coefficients are rational numbers and its discriminant, which is the expression under the square root in the quadratic formula, is a perfect square.
To determine if a quadratic equation can be solved by factoring, you must first ensure that its coefficients are rational numbers, meaning that they can be expressed as a ratio of two integers. Once you have confirmed this, you can calculate the discriminant of the quadratic equation, which is the expression b²-4ac, where a, b, and c are the coefficients of the quadratic equation in standard form.
If the discriminant is a perfect square, then the quadratic equation can be solved by factoring. If the discriminant is not a perfect square, then the quadratic equation cannot be solved by factoring using rational numbers, but may still be solvable using other methods, such as completing the square or the quadratic formula.
Learn more about Quadratic Equations:
https://brainly.com/question/1214333
#SPJ4
Linda plans to sign up for three field events. She wants to run a total of more than a kilometer but less than 1.5 kilometers which three events should she sign up for?
Linda can choose any combination of three events that adds up to more than a kilometer but less than 1.5 kilometers
In order to find the best combination of events for Linda to sign up for to run a total of more than a kilometer but less than 1.5 kilometers, we must first determine the total distances of the individual events.
Depending on the events offered, Linda can choose three events that add up to more than a kilometer but less than 1.5 kilometers.
If Linda has the option of running the 100m, 200m, and 800m, she can satisfy her requirement of running more than a kilometer but less than 1.5 kilometers by choosing the 100m, 200m, and 800m.
This would add up to 1100m, which is slightly over a kilometer but below 1.5 kilometers.
Another option for Linda is to run the 100m, 400m, and 600m, which would add up to 1100m, once again satisfying her requirement.
To know more about distance here.
https://brainly.com/question/4199102
#SPJ4
a relative frequency distribution for quantitative data identifies multiple choice question. the proportion of observations that occur in each bin. the total number of actual observations that occur below the upper limit of a particular bin. the total proportion of observations that occur below the upper limit of a particular bin. the actual number of observations that occur in each bin.
A relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin.
Relative frequency distribution is a type of frequency distribution that shows the proportion or percentage of observations that fall into each bin or class interval. It is calculated by dividing the frequency of each bin by the total number of observations. This allows us to compare the relative frequencies of different bins, and see how the data is distributed across the range of values.
For example, if we have 100 observations and 20 of them fall into the first bin, the relative frequency of the first bin would be 20/100 = 0.2 or 20%. This means that 20% of the observations fall into the first bin.
In summary, a relative frequency distribution for quantitative data identifies the proportion of observations that occur in each bin, allowing us to compare the relative frequencies of different bins and see how the data is distributed across the range of values.
#SPJ1
Similar Question: https://brainly.com/question/30541965
How Much is 75 mL in Ounces?
One milliliter (mL) is equal to 0.033814 fluid ounces (fl oz). Therefore, to convert milliliters to fluid ounces, you need to divide the number of milliliters by 29.5735.
So, the value of 75 mL is equal to 2.53605 fluid ounces.
The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre.
Fluid ounces is a measure of liquid; in Britain, 0.0284 of a litre.
Here, we want to convert the 75 mL into fluid ounces.
To convert milliliters (mL) to fluid ounces (oz), you can use the conversion factor of 0.033814.
So to convert 75 mL to ounces:
75 mL x 0.033814 oz/mL
= 2.53605 oz (rounded to five decimal places)
Therefore, 75 mL is approximately equal to 2.53605 fluid ounces.
For similar question on convertion of milliliters (mL)
https://brainly.com/question/14017548
#SPJ4
35 out of 56 students want pancakes and the rest want waffles. What is the ratio of the number of students who want waffles to the total number of students?
Answer: Waffles: Total Number of Students is 21:56. Simplified it would be 3:8.
Step-by-step explanation:
First, you take the total number of students, which in this case is 56, and subtract it from the number of students who want the pancakes. The difference is 21. That is the number of students who want waffles.
The ratio is 21:56. It must be in that order. It is not the Total number of students: waffles, it is waffles: total number of students.
If it must be simplified, find the greatest common factor. In this problem, it is 7. So the simplified version is 3:8.
how much is 14 km to miles
14 kilometers is approximately equal to 8.699 miles
The conversion factor from kilometers to miles is 0.621371.
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.
The distance in kilometer = 14 kilometers
The distance in miles = conversion factor × The distance in kilometer
Substitute the values in the equation
The distance in miles = 14 × 0.621371
Multiply the numbers
= 8.699 miles (to three decimal places).
Therefore, the 14 km is 8.699 miles
Learn more about conversion factor here
brainly.com/question/5056146
#SPJ4
Oak City High School ordered jerseys to sell at the
opening game. The school paid $9.25 each for
225 jerseys. Each jersey sold for $15.75. The
school sold 165 jerseys. What percent of the
jerseys did NOT sell? Round to the nearest
percent.
Answer: Percent of the jerseys that did not sell is 27% (approx).
Step-by-step explanation: No. of jerseys sold = 225
No. of jerseys not sold =165
Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%
percentage of jerseys not sold = 100-73.33 = 26.67% =27%
Internal Links: https://brainly.com/app/ask?q=Okolona+College+ordered+jerseys+to+sell+at+the+homecoming+game.+The+college+paid+%249.25+each+for+225+jerseys.+Each+jersey+was+sold+for+%2415.75.+what+was+the+percent+of+markup+for+each+jersey.+How+much+profit+was+made+if+all+of+the+jerseys+were+sold%3F+&skip=15527738&source=answer-box
PLS HELP PLS PLS WILL MARK BRAINIEST
Clara’s wrapping paperweight friend is a conical shape with a slanted base.
What is weight?Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.
It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.
To know more about weight click-
https://brainly.com/question/229459
#SPJ1
Suppose that a certain population obeys the logistic equation dy/dt = ry[1 - (y/K)]. a. If y0 = K/3, find the time at which the initial population has doubled. Find the value of corresponding to r = 0.025 per year. b. If y0/K = , find the time T at which y(T)/K = . where 0 < < 1. Observe that T as 0 or as 1. Find the value of T for r = 0.025 per year, = 0.1, and = 0.9.
Suppose that a certain population obeys the logistic equation dy/dx= ry[1-(y/k)]
a) So if y0= K/3, then
dy/dx= ry[1-(y/k)]
The above statement is equation 1.
Equation 2 is in the form of
dy/dx + P(t)y = yⁿQ(t)
which is a Bernoulli's differential equation with n=2. So 1- 2= -1
To solve it we put
Then dz/dx= -y⁻²(dy/dx)
This above statement is equation 3.
P(t)= -r, Q(t)= -(r/K)
and integrating factor is given by
IF= e ∫(1-n)P(t)dt= e ∫(-1)(-r)dt= ert
Then the solution is given by
z(IF)= ∫(1-n)Q(t)(IF)dt+C
If given y0= K/3, then
3/K= 1/K+C
Thus the solution to this part is
y⁻1ert= ert/K+2/K= 1/K(2+ert)
To find the time at which the initial population doubled that is 2K/3
Thus
2K/3= Kert/(2+ert)
For r=0.025, then r= 55.452
Learn more about Bernoulli's differential equation here brainly.com/question/21852102
#SPJ4
a. Find the length of EF.
Type the answer in the box below.
The length of EF= 15 cm.
How to solve for EF?
As, the question states that the triangles are similar; their ratios are also equal.
AC/DF = AB/DE - CB/EF
Plug in the values
12/10 = AB/DE = 18/EF
If we isolate EF,
EF = 180/12
EF= 15cm
Read more about geometry here:
https://brainly.com/question/19241268
#SPJ1
PLS HELP PLSSSSSSSSS
Answer:
If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?
C. 188.4 square units.Step-by-step explanation:
You're welcome.
what is lcm of 6 and 8?
LCM is the smallest number that is completely by the given numbers. It can be calculated using different techniques. LCM of 6 and 8 is found to be 24.
LCM of 6 and 8 means the smallest number that can be divisible by both 6 an 8. LCM can be calculated by three methods.
Listing out the multiples - list out the multiples until we get a common multiple.Multiples of 6 are 6, 12, 18, 24, 30, 36.....
Multiples of 8 are 8, 16, 24, 32.....
The smallest common multiple or LCM is 24
By prime factorization6 - 2×3
8 - 2×2×2
LCM = 2×3×2×2 = 24
By division method - factorize two numbers simultaneously2 | 6, 8
2 | 3, 4
3, 2
LCM = 2×2×3×2 = 24
So the LCM of 6 and 8 is found to be 24 by all methods.
For more information regarding LCM, kindly refer
https://brainly.com/question/20739723
#SPJ4
Are the triangles similar?
Answer:
Yes, by AA
Step-by-step explanation:
A triangle adds up to 180 degrees.
This means:
angle E = 180-53-60
angle E= 67 degrees
Angle E=Angle H
Angle C= Angle F
2 angles equaling to each other when comparing triangles means they are similar by AA.
Answer:
C. Yes by AA
Step-by-step explanation:
The triangles have the smae anlges, one is just smaller, but they are the same size.
what can be concluded from the fact that the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32?
The correlation coefficient -0.32 which is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation
What Is the Correlation Coefficient?The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from -1 to 1.
Properties of correlation coefficientA positive correlation coefficient indicates a direct relationship between two variablesA negaitive correlation coefficient indicates an inverse relationship between two variablesA correlation coefficient close to 1 indicates a strong relationship between two variablesA correlation coefficient close to zero indicates a weak or no relationship between two variablesNow, since the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32.
Since the correlation coefficient is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation
So, there is an inverse and weak correlation between them.
Learn more about correlation coefficient here:
https://brainly.com/question/29477242
#SPJ1
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A librarian is expanding some sections of the city library. He buys books at a special price from a dealer who charges one price for any hardback book and another price for any paperback book. For the children's section, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760. He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718. What is the special price for each type of book?The special price is $ for hardcover books and $ for paperback books.
The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.
What is linear equation?Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.
Let us suppose the price of hardback covers = x.
Let us suppose the price of paperback covers = y.
Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.
100x + 72y = 1760........(1)
He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.
97x + 72y = 1718.........(2)
The system of equation to describe the situation is:
100x + 72y = 1760.
97x + 72y = 1718
To find the solution subtract the two equations:
100x + 72y = 1760.
- (97x + 72y = 1718)
Thus,
3x = 42
x = 14
Substitute the value of x in equation 1:
100(14) + 72y = 1760
1400 + 72y = 1760
72y = 360
y = 5
Hence, the special price is $14 for hardcover books and $5 for paperback books.
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ1
what is integer array in c ?
In C programming, an integer array is a collection of integer values identified by a unique index within the array.
In C programming language, a whole number exhibit is an information structure that holds a grouping of number qualities. A cluster is an assortment of components of similar information type, where every component is recognized by a one of a kind record or position inside the exhibit. Number exhibits in C are proclaimed utilizing a particular language structure, which incorporates the information type and the size of the exhibit. For instance, to pronounce a number cluster with ten components, you can utilize the accompanying linguistic structure:
int myArray[10];
Once announced, you can get to individual components of the cluster utilizing their record, what begins from 0. For instance, to dole out a worth of 5 to the main component of the exhibit, you can utilize the accompanying sentence structure:
myArray[0] = 5;
In general, whole number exhibits are a helpful device in C programming for putting away and controlling assortments of number qualities.
To learn more about integer array, refer:
https://brainly.com/question/30651254
#SPJ4
Simplify, Rationalize the denominator.
[tex]\frac{9}{7+\sqrt{2} }[/tex]
Answer:
[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]
Step-by-step explanation:
if you sell 15 items for $360 each and make 22%commission, how much do you earn in total ?
Answer:
1,188
Step-by-step explanation:
15x360=5,400
5,400-22%=4212
5,400-4,212=1,188
Find the perimeter of the composite heart shape, round to two decimal places. pls help
Answer:
18.00 cm
Step-by-step explanation:
This composite heart shape consists of two semi-circles and a rectangle.
[tex]r_{ssc}[/tex] = radius of small semi-circle
= [tex]\frac{3 cm}{2}[/tex] = 1.5 cm
[tex]r_{bsc}[/tex] = radius of big semi-circle
= [tex]\frac{4 cm}{2}[/tex] = 2 cm
Perimeter of this composite shape
= Perimeter of big semi-circle + Perimeter of small semi-circle + 2 outer sides of the rectangle
= [tex](\frac{2}{2} \pi r_{bsc} + \frac{2}{2} \pi r_{ssc} + 3 + 4)[/tex] cm
= [tex](\pi r_{bsc} + \pi r_{ssc} + 3 + 4)[/tex] cm
= [tex][\pi (2) + \pi (1.5) + 3 + 4][/tex] cm
= [tex](2\pi + 1.5\pi + 7)[/tex] cm
= [tex](3.5\pi + 7)[/tex] cm
= 17.995 cm
= 18.00 cm (Rounded to two decimal places)
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
For more such questions on measurement
https://brainly.com/question/777464
#SPJ4
Help me asap
Please do the equation to show off my work I’ll do anything.
Answer:
-0.9
Step-by-step explanation:
-5.4 + 1.8 = 4x - 1.8 + 1.8
-3.6 = 4x
-3.6/4 = 4x/4
-0.9 = x
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:
-6x + 15 < 10 – 5x, which can be simplified to x < 5
and
-6x – 5 < 10 – x, which can be simplified to -5x < 15, and then x > -3
Therefore, the correct options are:
x < 5
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Can somebody help me with these geometry problems (BTW these are not regular area this is trigonometry/ special right triangles area)
Answer: 1st 133
Step-by-step explanation: Hope this helps!
couple more and im done guys
Sorry I don't know good luck
Estimate the difference between 741,908 and 909,854
Homework 6: surface area of pyramids & cones
The surface area of a square base pyramid is 696.96 cm².
The surface area of the cone is 353.43 mm².
What is the surface area of the squared base pyramid?
The surface area of a square base pyramid is calculated by applying the following formula as shown below;
SA = 2bs + b²
where;
b is the base of the pyramids is the height of the triangular facelet the half of the base = x
Apply Pythagoras theorem to determine the value of x using the given heights of the right triangles
x = √ ( 17² - 15.4² )
x = 7.2 cm
The base of the pyramid = 2x = 2 (7.2 cm ) = 14.4 cm
SA = 2 x 14.4 x 17 + ( 14.4)²
SA = 696.96 cm²
The surface area of the cone is calculated as follows;
SA = πrs + πr²
where;
r is the radius = 9mm/2 = 4.5 mms is the slant heightThe slant height of the cone is calculated as follows;
s = √ (4.5² + 20² )
s = 20.5 mm
SA = π x 4.5 x 20.5 + π(4.5²)
SA = 353.43 mm²
Learn more about surface area here: https://brainly.com/question/1297098
#SPJ1
7) A sloppy joe restaurant gave 7 napkins for every 5 items ordered. If someone bought 35 items, how many napkins should they get? n
Answer: 49 napkins
Step-by-step explanation:
7 every 5
35/5=7
7*7
49
Answer: 25 napkin
Based on the given conditions, formulate: 35 x 5 divided by 7
35 x 5= 175/7= 25
What is the length of Line segment A B? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.
9.7 m
10.4 m
37.3 m
38.6 m.
The length of the line segment AB is 38.6 m. The solution has been obtained by using trigonometry.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle falls under the umbrella of the branch of mathematics known as trigonometry.
We are given a right angled triangle, with angle ACB = 90° and angle CAB = 75°.
We know that cos theta = adjacent side/hypotenuse
So,
⇒cos θ = 10/x
Here, θ = 75°
So,
⇒cos 75° = 10/x
⇒x = 10/cos 75°
⇒x = 38.6
Hence, the length of the line segment AB is 38.6 m.
Learn more about trigonometry from the given link
https://brainly.com/question/13729598
#SPJ1
Do you believe initiative is an important quality? Defend your answer.
sinθ = -0.9798 (rounded to two decimal places).
What is the Trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the trigonometric functions that describe those relationships.
We can use the identity sin²θ + cos²θ = 1 to find sinθ, since we know cosθ:
sin²θ + cos²θ = 1
sin²θ + 0.2² = 1 (substituting cosθ = 0.2)
sin²θ = 0.96
Taking the square root of both sides, we get:
sinθ = ± 0.9798
Since θ is in the second quadrant, sinθ is negative.
Hence, sinθ = -0.9798 (rounded to two decimal places).
To learn more about Trigonometry , Visit
https://brainly.com/question/13729598
#SPJ1
Jose invests money in an account paying a simple interest of 9% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.
Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.
We have rate of interest as 9%
So, SI = PNR/100
SI = P x 1 x 9/100
SI = P x 9%.
Therefore, current balance should be multiplied by 9% .
Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.
Learn more about Total balance:
https://brainly.com/question/17547894
#SPJ4
