Jared is correct because the volume of a cone that has the same base and height as a cylinder is one-third the volume of the cylinder. This is due to the 1/3 factor in the formula for the volume of a cone. Therefore, the cone would indeed hold about 1,178 cm³ of sand.
Explanation:Jared is indeed correct in his statement. The volume of a cone is found by using the formula 1/3 * base area * height, while the volume of a cylinder is found by using the formula base area * height. In this case, both the cone and the cylinder have the same base and height. However, the key difference lies in the 1/3 factor of the formula for a cone. This means that a cone with the same base and height as a cylinder would hold only one-third the volume of the cylinder.
In this case, the cylinder can hold about 4,712 cm³ of sand. As the cone is one third the size of the cylinder, it can hold about 1,178 cm³, which is precisely one third of the cylinder's volume, thus Jared's statement is correct.
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which angle is coterminal with 153°
To find a coterminal angle with 153°, we can either add 360° to get 513° or subtract 360° to get -207°, both of which have the same terminal side as 153°.
To find an angle that is coterminal with 153°, we add or subtract multiples of 360° to the original angle. Adding 360° to 153° gives us 513° as one such coterminal angle. Subtracting 360° from 153° provides us with -207° as another coterminal angle. Both of these angles have the same terminal side position as 153° when plotted in standard position on a coordinate system.
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
Final answer:
When a transversal intersects parallel lines perpendicularly, all angles formed are right angles (90°). This is due to perpendicular lines creating right angles and the angles at the intersection points being equal in measure because of the corresponding angle postulate.
Explanation:
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90° because of the geometric properties of parallel lines and transversals. A transversal is a line that intersects two or more lines at distinct points. In the case of perpendicular transversals and parallel lines, the angles formed are called right angles.
If we consider two parallel lines, like railway tracks, they never meet and are always the same distance apart, maintaining a 180° straight line angle between them. A transversal that is perpendicular to these lines would intersect at points which lie along the x-axis if we consider the parallel lines to be along this axis. By the definition of perpendicular lines, the angles formed at the intersection points are 90°. As there are two intersection points on each parallel line, and due to the corresponding angle postulate, all four angles formed are equal in measure and hence are all right angles.
This can also be understood by considering vectors in physics, where if two vectors are perpendicular to each other, they form a right triangle, indicating a 90° angle between them. Knowing that parallel lines crossed by a perpendicular transversal produce angles of equal measure, and by the property that perpendicular lines form right angles, we can conclude that all angles formed in the described scenario are indeed 90°.
what are vertical angles? give an example.
Margie has a $50 budget to purchase a $45 pair of boots if there is an 8% sales tax rate then how much under budget will Marjorie be
Which relations represent functions ?
Answer: First and third
Step-by-step explanation:
A function is a special kind of relation between two variable such that each input corresponds to exactly one output.In the given pictures, the first and third picture are representing function because each input corresponds to exactly one output.
In second and fourth picture one input value corresponds to two output values.
i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.
Change to decimals and put in order of smallest to biggest
7/5 3/8 5/9 3/16
What is the product of the two solutions from the quadratic formula?
suppose you have a 100 millimeter cup a 300 millimeter cup and a 500-milliliter cup list two different ways you can measure exactly 1 liter
David and Terri drove a small motorboat down a river with the current. The rate the boat traveled in still water was r miles per hour, and the current’s average speed was c miles per hour. It took them 1.5 hours to travel 4 miles downstream. Which of the following equations can be used to represent this information?
Find vertical and horizontal asymtope for (x^2+2x-48)/x+8
Estimate x- and y- intercepts of the graph
What fraction makes the equation true?
2/3 x blank = 8/12
Consider the scatter plot.
Which choice best describes the association?
Positive association
No association
Negative association
Any help if possible Thank you ❤
Math- finding the volume of the triangle. Please show work, I am very confused
what is equivalent to
[tex]13 - \sqrt{ - 81} [/tex]
(Photo) Pls help me!
The 3 sections of a game spinner are numbered 1 to 3. Which tree diagram shows all the possible outcomes for 2 spins?
The tree diagram shows all the possible outcomes for 2 spins C is correct.
We have given that,
The 3 sections of a game spinner are numbered 1 to 3.
We have to determine, which tree diagram shows all the possible outcomes for 2 spins.
There are 3 options the first time and after that,
There are 3 options for each of those.
So it would be C.
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Math question, I appreciate ANY help! :D
yesterday, noah ran 2 1/2 miles in 3/5 of an hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/3 in 3/5 hour. How fast, in miles per hour l, did each person run? who ran the fastest?
The speed that a tsunami (tidal wave) can travel is modeled by the equation where S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?
Answer:
The average depth of the water will be 0.155 kilometers or 155 meters.
Step-by-step explanation:
The speed at which the tsunami waves travel is [tex]S=356\sqrt{d}[/tex]. Here S is the speed in kilometers per hour and d is the average depth of the water in kilometers.
Now, it is given that the wave travels at the speed of [tex]S=140\rm km/hr[/tex].
So, the average depth of the water will be,
[tex]S=356\sqrt{d}\\140=356\sqrt{d}\\\sqrt{d}=0.393\\d=0.155\rm km[/tex]
Therefore, the average depth of the water will be 0.155 kilometers or 155 meters.
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Answer: c
Step-by-step explanation:
0.155 km
Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional
The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!
Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △A′B′C′ ?
dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left
dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right
translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
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How is the expression (5 + y) ⋅8 described by its factors and terms?
A) It has two factors and the factor (5 + y) has one term.
B) It has three factors and the factor (5 + y) has one term.
C) It has three factors and the factor (5 + y) has two terms.
D) It has two factors and the factor (5 + y) has two terms.
Data Set 1 has a mean of 84 and a MAD of 6. Data Set 2 has a mean of 78 and a MAD of 8. What can be concluded about the two distributions?
Select each correct answer.
A. The distributions are somewhat similar.
B. The means-to-MAD ratio is 1.
C. The means-to-MAD ratio is 0.75.
D. The distributions are similar.
Answer: The actual answers are: "The distributions are similar." & "The Means-to-MAD ratio is 0.75." I took the same test and got it right. I hope this helps anyone reading this. :D Thanks!
~H*****
Answers are C. The means-to-MAD ratio is 0.75. and D. The distributions are similar. hope it helps
PLEASE HELP! In college, you earn credits for courses taken. For each semester, tuition at a local college is $2400, plus $184 per credit. You have financial aid that will cover $5,160 for the semester. How many credits can you take without spending any of our own money?
jeffs water bill includes a base charge of 12.00. plus a charge of 1.50 for each 1000 gallons of water used. his water bill is 28.50. how many gallons of water did jeff use?
Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.
Explanation:The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.
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For what value of p,-4 is a zero of the polynomial x square-2x-(2p+3)
perimeter with radius 14
You have two exponential functions. One function has the formula g(x) = 5 x . The other function has the formula h(x) = 5-x . Which option below gives formula for k(x) = (g - h)(x)?
k(x) = 10x
k(x) = 5x + 5-x
k(x) = 5x - 5-x
k(x) = 2(5x)
g(x) = 5x
h(x) = 5 - x
k(x) = (g - h)(x)
k(x) = g(x) - h(x)
k(x) = 5x - (5 - x)
Hence, the correct option is k(x) = 5x - 5-x
The equation y – 9 + 9 = –17 + 9 is an example of which property of equality?
A.Substitution Property of Equality
B.Addition Property of Equality
C.Reflexive Property of Equality
D. Symmetric Property of Equality
Answer:
addition property of equality
Step-by-step explanation:
The equation y – 9 + 9 = –17 + 9 is an example of which property
A.Substitution Property of Equality:
In this property we substitute some particular value for the variable.
B.Addition Property of Equality
This property states that when we add any number to one sides of the equation we do the same on the other side
y – 9 + 9 = –17 + 9
In the equation , 9 is added on both sides of the equation. So it is an example of addition property of equality
C.Reflexive Property of Equality
Reflexive property states that the number is equal to itself
D. Symmetric Property of Equality
It states that if a=b then b=a