During math class Laura stated that the two cylinders shown Below have the same volume. Gene interrupted Laura and argue that the volumes of the two cylinders are different their teachers playing that Laura was correct. Which principle is used to prove Laura correct?EulersEinsteinsCavalierisPythagoras
Answers
Cavalieri's principle state that
A right circular cylinder and an oblique circular cylinder have the same radius and height, as seen in the given figure.
The two figures have
Same radius as 12cm and the same height as 42.
Hence, the two figures have the same volume.
Final answer Cavalieris
Related Questions
(CLASSKICK) HELP ASAP!!!
Answers
Answer:
94.3
Step-by-step explanation:
You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"
ProportionThe diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.
The solution is found by multiplying both sides by 82:
(x/82)·82 = (115/100)·82
x = 94.3
EquationThe question can also be written as a statement:
"what" is 115% of 82
When written as an equation, "is" means "equals", and "of" means "times":
what = 115% × 82
Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...
x = 115/100 × 82 = 1.15 × 82
All that remains is to evaluate this expression.
x = 1.15 × 82 = 94.3
So, the answer to the question is ...
94.3 is 115% of 82.
Factor out the greatest common factor. Simplify the factors, if possible.6x4 - 42x3 + 12x2Select the correct choice below and fill in any answer boxes in your choice.O A. 6x4 - 42x3 + 12x2 =(Type your answer in factored form.)OB. There is no common factor other than 1.ih
Answers
You have to find the greatest common factor first.
To do so, do as follows:
\(6x^4-42x^3+12x^2\)Factors of 6 are: 1, 2, 3, 6
Factors of 12 are: 1, 2, 3, 4, 6, 12
Factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The greates common factor is the greatest common factor shared by all values, in this case is 6
Now to factor it out you have to divide each term of the equation by it.
\((\frac{6x^4}{6})=x^4\)\((\frac{42x^3}{6})=7x^3\)\((\frac{12x^2}{6})=2x^2\)The expression with the GCF factorized is then:
\(6(x^4-7x^3+2x^2)\)Solve for a:
a + 1 > 7
Answers
Answer:
\(a>6\)
Step-by-step explanation:
1) Subtract 1 from both sides.
\(a>7-1\)
2) Simplify 7 - 1 to 6.
\(a>6\)
Therefor, the answer is a > 6.
Answer:
a > 6.
Step-by-step explanation:
Move all terms not containing a to the right side of the inequality.
Inequality Form:
a > 6.
Ifx + iy = 1
1+i/
1-i
prove that, x² + y² = 1
Answers
HI MATE
A rectangular water tank
is 90 cm wide & 40 cm deep
it it contain contain 576 .What is its length.
Answers
Answer:
The lenght is 0.16cm
Step-by-step explanation:
Step one:
given data
width W= 90cm
depth/height H= 40cm
volume V= 576cm^3
Required
The length L
Step two
The volume is expressed as
V= L*W*H
576=L*90*40
576=3600L
divide both sides by 3600
L=576/3600
L=0.16cm
x to the 5 power times x to the 8 power time x to the 0 power
Answers
idk i am in 6th grade idk
You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?
Answers
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Answers
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.?I need an equation I’ve used 1/2 (x+ 1.5) = 62
Answers
From the statement, we know that:
0. Maria is 62 in tall,
,1. if her sister was 1.5 in taller, she would be exactly half Maria's height.
We define the variable:
• x = Eva's height in inches.
From point 2, we know that:
\(\text{ Eva's height}+1.5\text{ }=\frac{\text{ Maria's height}}{2}\)Replacing the data from points 1 and 2, we get the following equation:
\(x+1.5=\frac{62}{2}.\)Solving for x the last equation, we get:
\(\begin{gathered} x+1.5=31, \\ x=31-1.5=29.5. \end{gathered}\)We have found that Eva's height is 29.5 inches.
Answer• The equation to solve is:
\(x+1.5=\frac{62}{2}\)• Eva'is height is, x = 29.5 ,inches.
The answer is 29.5 inches
ASAP PLEASE!M DUE TODAY!
Terrance rolled a bowling ball 5 feet and 2
inches before it hit a bowling pin. If 1 inch is
equal to 2.54 centimeters, how many centimeters
did the bowling ball roll before hitting the pin?
Answers
Answer:
157.48cm
Step-by-step explanation:
5feet 2inches
=(5×12) +2in.
=62in. [ 1ft = 12in.]
= 12in. = 2.54cm
=62in. = (2.54 × 62)
=157.48cm
Given CB || ED,;CB=ED prove CBF= EDF using isometric ridged transformation outline the necessary transformation to prove CBF = EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements
Answers
The given triangle is rotated about 180 degrees and as such, we can say that the triangle CBF is congruent to the triangle EDF.
How to prove congruent angles?
From the attached image, we see that CB is parallel to ED. We also see that the transversal lines are BD and CE.
The point E will become the image of point C by a rotation of 180° around the point F.
Now, the point D will be the image of point B by a rotation of 180° around the point F.
Rotation is a type of transformation and as such ΔEDF will be the image of ΔCBF.
Therefore we can conclude that ΔCBF ≅ ΔEDF
The second way to prove this congruency is as follows;
∠B = ∠D (Due to the fact that alternate angles are congruent)
∠C = ∠E (Due to the fact that alternate angles are congruent)
Now, since CB ≅ ED , then it means that ΔCBF ≅ ΔEDF by SAS congruency postulate
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Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?
Answers
Answer:
its 1,645.32
Step-by-step explanation:
search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32
Please help
A line intersects the point (-8, -1) and
has a slope of 2. What is the
slope-intercept equation for this line?
y =
母
EX+
x+
Answers
Answer:
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
Step-by-step explanation:
Whenever you solve a word problem, our first step is to read and gather the information we find.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.
"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"
First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept
After reading the context, what do we know?
a slope of 1/4a line passes through (-8,-1)write in slope-intercept formWe finally have the information — our first step is to write our slope-intercept equation.
\( \displaystyle \large{y = mx + b}\)
We know that m is slope which is 1/4 — substitute in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
We have used the two information which are a slope of 1/4 and slope-intercept equation.
That only leaves to one information which is a line that passes through (-8,-1).
Since the graph has to pass through the point, we substitute x = -8 and y = -1.
\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)
After using all information, it seems that we are solving for b-term or y-intercept.
\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)
From above — cross-division.
\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)
Add both sides by 2 to isolate b-term.
\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)
Therefore, the value of b is 1. From the equation:
\( \displaystyle \large{y = \frac{1}{4} x + b}\)
Substitute b = 1 in the equation.
\( \displaystyle \large{y = \frac{1}{4} x + 1}\)
And we're done!
ANSWER
\(\sf{\red{y = \frac{1}{4}x + 1}}\)EXPLANATION
The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)
Where,
'm' is the slope
'b' is the y-intercept
From the question we have slope to be
\(\sf{}m = \frac{1}{4}\)
We substitute the slope into the slope-intercept equation and obtain:
\(\sf{}y = \frac{1}{4}x + b\)
To find the value of 'b' we plug in the point (-8,-1) into our current equation.
\(\sf- 1= \frac{1}{4}( - 8)+ b\)
\(\sf- 1= - 2+ b\)
\(\sf- 1 + 2 = b\)
\(\sf{}b= 1\)
The complete equation is
\(\sf{}y = \frac{1}{4}x + 1\)If three of a triangle's angles are congruent. What is the measure of each individual angle?
Answers
will mark brainliest its timed hurry!
Answers
Answer:
I think the answer is B?
Step-by-step explanation:
i want to fight because nobody is helping mee so iwant to met up in atl
Answers
Answer:
met up with who?
Step-by-step explanation:
The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 20% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product next month and in 2 months?
(a) next month
(b) in 2 months
Answers
(a) 940 people will purchase the product next month.
(b) 952 people will purchase the product in 2 months.
What is the probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
(a) To find the number of people who will purchase the product next month, we can first calculate the number of people who will not purchase it next month using the given percentage.
Percentage of people who will not purchase the product next month = 30%
Number of people who purchased the product this month = 200
Number of people who will not purchase the product next month = 30% of 200 = 0.3 x 200 = 60
So, out of the 200 people who purchased the product this month, 60 people will not purchase it next month.
Now, to find the number of people who will purchase the product next month, we subtract the number of people who will not purchase it from the total population of 1000.
Total population = 1000
Number of people who will not purchase the product next month = 60
Number of people who will purchase the product next month
= Total population - Number of people who will not purchase it next month
= 1000 - 60
= 940
Hence, 940 people will purchase the product next month.
(b) To find the number of people who will purchase the product in 2 months, we need to account for the 20% of people who do not purchase it in one month but will purchase it the next month.
Number of people who will purchase the product in 2 months = Number of people who will purchase it next month + Number of people who will not purchase it next month but will purchase it in 2 months
Number of people who will not purchase it next month but will purchase it in 2 months = 20% of 60 (people who will not purchase it next month) = 0.2 x 60 = 12
Number of people who will purchase the product in 2 months = 940 (people who will purchase it next month) + 12 (people who will not purchase it next month but will purchase it in 2 months)
= 952
Hence, 952 people will purchase the product in 2 months.
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If these cylinders and prisms were broken into two separate groups, what would be an equivalent ratio to 8/2? i dont have much longer and btw it doesn't have a picture.
100 points?
Answers
The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.
We have,
Cylinder and prism.
Here we have to find the equivalent ratio to 8/2.
First simplifying the given ratio as
8/2
= (4 x 2)/2
= 4 /1
Now, some more ratios equivalent to 8/2.
1. 8/2 x 3/3 = 24/ 6
2. 8/2 x 4/4 = 32/8
3. 8/2 x 6/6= 48/12
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The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2. When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time.
Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times?
a. A larger sample size was used.
b. The 100 tosses were controlled better.
c. The expected probability changed when the cube was rolled 100 times.
d. The thrower considered only the even rolls, and disregarded the odd rolls.
Answers
Answer:
Step-by-step explanation:
The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answers
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. What is the temperature in the city at 4 am? *
20 degrees
-3 degrees
7 degrees
-6 degrees
Answers
Answer:
it is 3 ... 75 percent sure
If a1 = 4 and an = an-1 — 2, then find the value of a5
Also please explain, I’m struggling with this
Answers
Answer:
5
Step-by-step explanation:
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 31 years with a standard deviation of 3.8 years. The Margin of error of the 99% confidence interval for the average age of the consumers is
Answers
Step-by-step explanation:
d_f=25-1=24
critical t value=tinv (0.05,24)=2.064
Margin of error=2.064×(3.8/sqrt(25))=1.86
99% confidence interval for mean
=22.5+/-1.86
=(20.64, 24.36)
Question Help
Mia has 28 stamps. Alex has 49 stamps, and Michael has 77 stamps. Use the GCF and the
Distributive Property to find the total number of stamps Mia, Alex, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property
28 +49 +77 = 0
(Use the operation symbols in the math palette as needed. Do not simplity)
3
More
Enter your answer in the answer box and then click Check Answer
Clear Al
C
1
remaining
Answers
Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.
what the answer please
Answers
Using the law of detachment and the law of syllogism,
We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.
We have,
Using the law of detachment, we can conclude from statements 1 and statement 3:
If something weighs more than 2,000 pounds, then it weighs more than Jill's car. (Statement 1)
Sally the elephant weighs 2,325 pounds. (Statement 3)
Therefore, Sally weighs more than Jill's car.
Using the law of syllogism, we can then use the conclusion above and statement 2 to conclude:
Sally weighs more than Jill's car.
If something weighs more than Jill's car, then it is too heavy for the bridge. (Statement 2)
Therefore, Sally is too heavy for the bridge.
Therefore,
We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.
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Pls help ASAP will give extra Brainlist
Write an algebraic expression for each situation or problem. 1. You bought x CD’s online and y CD’s from a store. How many total CDs did you buy? 2. You want to evenly divide 15 tickets between p people. How many tickets will each person receive?
Answers
plz help
30% of students in Mr. Matthews class likes black licorice. How many students are in Mr. Matthews class if 6 students like black licorice?
There are ___students in Mr. Matthews class.
Answers
what is inequalities
Answers
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Answers
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
Mr . Jack sold 13 pounds of grapes at his grape stand . The grapes sold for 2.28 per pound .
How much did mr . Jack receive for the grapes he sold ?
Answers
Answer:
$29.64
Step-by-step explanation:
Multiply the number of pounds by the unit price.
13 lb * $2.28/lb = $29.64