When the dimension of height is doubled, the volume of the cone also gets doubled.
What is volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. We will discover how to find the volume for each of these shapes.
Volume of a cone is given by,
V = πr²h/3
Where,
V = Volume,
r = radius of the base,
h = height of the cone.
Let, height at first be x, then volume would be,
V1 = πr²x/3
As the height is doubled, so height = 2x, then volume would be,
V2= πr²(2x)/3
We observe that:
V2 = 2(πr²x/3)
V2 = 2V1
Therefore, when the height is doubled, the volume of the cone also gets doubled.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ1
By what percent will a fraction decrease if its numerator is decreased of 85% and the denominator is decreased by 25%. BRAINLEST FOR FIRST CORRECT ANSWER
The percent will the fraction decrease should be 80%.
Important information:
In the case when its numerator is decreased by 85% and its denominator is decreased by 25%
Calculation of percentage:
= (100-85) ÷ (100 - 25)
= 15%÷ 75%
= 20%
Now the decrease in percentage should be
= 100% - 20%
= 80%
Learn more about the percentage here:brainly.com/question/16616666
The correct answer is 80%
what is the area of the long triangle
Check the picture below.
[tex]\cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{A_2}\implies \cfrac{8^2}{6^2}~~ = ~~\cfrac{A_1}{(36)}\implies \cfrac{8^2(36)}{36}=A_1\implies 8^2=A_1\implies \stackrel{ mm^2 }{64}=A_1[/tex]
Answer: 13.5 and 7 ; Step-by-step explanation: x + y = 20.5. × - y = 6.5. Hence,. x =20.5 - y. 20.5 - 2y = 6.5. Hence,. 2y = 14. and x = .
The value of x and y is 13.5 and 7.
we have two set of equations as follows,
x + y = 20.5 ....[1]
x - y = 6.5 .....[2]
from equation [1] we have,
x +y = 20.5
x = 20.5 - y .....[3]
put the value of x in equation [2]
x - y = 6.5
20.5 - y -y = 6.5
20.5 - 2y = 6.5
now like terms together ,
-2y = 6.5 -20.5
-2y = -14
now the minus sign cancel by each other,
2y = 14
y = 14/2
y = 7
now, put the value of y in equation [1]
x +y =20.5
x + 7 = 20.5
x = 20.5 - 7
x = 13.5
Learn more about equation here :-
https://brainly.com/question/30155631
#SPJ4
a school cafeteria wants to find out what combinations of food and beverage students are ordering. the results are represented in the two-way table below: food pizza hamburger salad water 11 7 23 beverage slurpee 18 19 5 soda 28 12 14 of the students who ordered salad, what is the probability that a student also ordered water? a.) 42 over 137 b.) 23 over 42 c.) 19 over 42 d.) 23 over 137
The probability that a student ordered a hamburger and a Slurpee is Option D) 23 over 137.
What is probability?Generally, To find the probability that a student ordered a hamburger and a Slurpee, we need to divide the number of students who ordered a hamburger and a Slurpee by the total number of students.
From the table, we can see that 23 students ordered a salad and a water.
There were a total of 38 + 12 + 14 + 18 + 28 + 7 + 23 = 137 students in the cafeteria.
Therefore, the probability that a student ordered a salad and a water is 23/137, or about 0.17.
Therefore, the correct answer is d) 23 over 137.
To know more about probability
https://brainly.com/question/30621488
#SPJ4
A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. Pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table. Pepperoni Cheese Veggie Hawaiian Total
Male 37 18 2 7 64
Female 13 17 3 3 36
Total 50 35 5 10 100
Part A
What proportion of participants prefer cheese pizza? Enter your answer as a decimal value
Proportion of participants prefer cheese pizza is 0.35 from the sample of 100 students was randomly selected.
A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie or Hawaiian pizza
The number of males who prefers chess pizza is 18.
The number of females who prefers chess pizza is 17.
The total number of students who prefer chess pizza is 18 + 17 = 35.
The total number of students is 100.
The proportion of students who prefers chess pizza is 35/100 = 0.35
To know more about probability
https://brainly.com/question/3504000
#SPJ4
help I need help somebody help
The expression to represent the total volume of the two storage spaces is s³+12.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the edge of the large cube s feet and the volume of the small cube is 12 ft³.
We know that, the formula to find the cube is side³.
Volume of large cube = s×s×s
= s³
Total volume of the two storage spaces =s³+12
If edge of large cube is 4 feet long, then the volume is
4³ = 64 ft³
Therefore, the expression to represent the total volume of the two storage spaces is s³+12.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ9
a farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. if the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 242 ft2, how many feet of fencing should be purchased?
The farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
Let's call the length of the side of the rectangle that is parallel to the barn "2x" (since it is twice the length of the adjacent side), and let's call the length of the adjacent side "x". The length of the side opposite the barn is also "x", since it is opposite to the adjacent side.
We know that the area of the rectangle is 242 ft^2. The formula for the area of a rectangle is:
area = length * width
So we can write an equation for the area of the rectangle in terms of "x":
242 = 2x * x
Simplifying this equation, we get:
242 = 2x²
Dividing both sides by 2, we get:
121 = x²
Taking the square root of both sides, we get:
11 = x
So the adjacent side of the rectangle is 11 feet, and the side parallel to the barn is twice as long, or 22 feet.
To find the amount of fencing needed, we need to add up the lengths of all three sides that are not parallel to the barn. The formula for the perimeter of a rectangle is:
perimeter = 2 * length + 2 * width
Since one of the sides is the barn, we only need to add up the lengths of the two sides opposite the barn:
Perimeter = 2 * length + 2 * width
Therefore, the farmer needs to purchase 66 feet of fencing to enclose the rectangular region.
To know more about area:
https://brainly.com/question/20693059
#SPJ4
Wendy walked 2 miles in 30 minutes. At this rate, how many miles could Wendy walk in 90 minutes?
what is the perimeter of this rectangle
18 yd
19 yd
please help
Answer:
= 74cm²
Step-by-step explanation:
Perimeter of a rectangle
[tex] = 2(l) + 2(w)[/tex]
therefore
= 2(18) + 2(19)
= 36 + 38
= 74cm².
Can someone please help me with this
[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³ and x is positive.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Since x=y⁵=z³
Solve for yz as follows:
we can take the fifth root of x to get y, and the cube root of x to get z:
We can solve for yz as follows:
[tex]y=x^{\frac{1}{5} }[/tex]
[tex]z=x^{\frac{1}{3} }[/tex]
Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]
=[tex]x^{\frac{8}{15} }[/tex]
Hence, option A is correct, if x=y⁵=z³ then yz is [tex]x^{\frac{8}{15} }[/tex]
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Segment AC is the angle bisector of
The figure is not to scale.
Which of the following additional statements would allow us to prove that
Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle R.
The value of x by using vertical angles is 4, and the measure of angle R is 34°
Vertical Angles.Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).
From the information given:
6x + 10 = 8x + 2
6x - 8x = 2 - 10
-2x = -8
x = -8/-2
x = 4
The measure of angle R = 6x + 10
= 6(4) + 10
= 24 + 10
= 34°
Therefore, we can conclude that the measure of angle R is 34°
Learn more about vertical angles here:
https://brainly.com/question/1673457
#SPJ1
I need help with this question how is dividing with an area model simlar to multiplaying with an area model differnt
Dividing with an area model and multiplying with an area model are similar in that they both involve partitioning a rectangular area into smaller parts.
However, dividing with an area model involves starting with the total area and then dividing it into equal parts to find the size of each part. For example, to divide 12 by 3, we could draw a rectangle with an area of 12 and then partition it into 3 equal parts to find that each part has an area of 4.
Multiplying with an area model involves starting with the size of the smaller parts and then combining them to find the total area. For example, to multiply 3 by 4, we could draw a rectangle with a width of 3 and a height of 4 and then calculate the area of the rectangle as 12.
So, while both methods involve using an area model, dividing starts with the total area and finds the size of the parts, while multiplying starts with the size of the parts and finds the total area.
To learn more about area here:
https://brainly.com/question/27683633
#SPJ4
Please help!!!
Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
1. (3.0) dilated by scale factor of 1/3 a (0, 6)
2. (3,4) dilated by scale factor of 1/3 scale factor b (1,0)
3. (0,4) after dilation with a scale factor of 1/3 c (0, 4/3)
4. (3,0) after dilation with a scale factor of 3/2 d (1, 4/40
5. (3,4) after dilation with scale factor of 3/2 e (9/2, 0)
6. (0,4) after dilation with a scale factor of 3/2 f (9/2, 6)
The required (0,4) after dilation with a scale factor of 1/3 is (0, 4/3). Option C is correct.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Since let the coordinate before dilation be (x, y),
Now when applying the scale factor to the coordinate, the transformation equation is given as,
(X, Y) = (sx , sy) where s is the scale factor,
Since matching the above equation with the option,
(3.0) dilated by a scale factor of 1/3 a (0, 6) (False)
(3,4) dilated by a scale factor of 1/3 scale factor b (1,0) (False)
(0,4) after dilation with a scale factor of 1/3 is (0, 4/3) (True)
Thus, the required (0,4) after dilation with a scale factor of 1/3 is (0, 4/3). Option C is correct.
Learn more about Scale factors here:
https://brainly.com/question/22312172
#SPJ1
If m∠HZJ = 38°, what is m∠HZG?
Answer:
142 degrees
Step-by-step explanation:
since line GJ is a straight line, its angle measure is 180 degrees. The measure of angle HZJ is 38. Angle HZJ and angle HZG are supplementary, which means their angle measures add up to 180 degrees. So,
180-38=142.
Hope this answer helps!! :D
a coin is flipped and die is rolled once. what is the probability of flipping a heads on the coin and rolling a 5 on the die? give your answer as a reduced fraction.
The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.
The sample space for the coin toss is {H,T}, so there are two possible outcomes. The favorable one is H.
The probability of flipping a heads on the coin is equal to 1/2.
Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as 1/6
The probability of rolling a 5 on the die is equal to 1/6.
Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.
Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals
[tex]\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}[/tex]
To know more about probability
https://brainly.com/question/7681391
#SPJ4
R, S, Q and P are the midpoints of OC, CB, BA and OA respectively.
OR = a, CS = b and OP = c
А
Show that RS is parallel to PQ
We know that RS is parallel to PQ by comparing RS and PQ and both vector have the same value and hence prove to be parallel.
We know that R, S, Q and P are midpoints of OC, CB, BA and OA, and we are given that OR = a, CS = b and OP = c
we have to prove that RS is parallel to PQ,
therefore we need to find, PQ = PA + AQ,
= c - c + a + b = a + b,
since we get that PA = OP = c
therefore when we compare RS and PQ ,we get,
RS = PQ = a + b
now that it is clear that both the vectors are same and have the same value we can conclude that they are parallel.
To learn more about quadrilaterals, click here:
brainly.com/question/13805601
#SPJ4
suppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws.
a. What is the probability that he will make both free throws? (to decimals) b. What is the probability that he will make at least one free throw? (to decimals) c. What is the probability that he will miss both free throws? (to decimals) d. Late in basketball game; team often intentionally fouls an opposing player in order to stop the game clock: The usual strategy is t0 intentionally foul the other team's worst free-throw shooter: Assume the team' worst free throw shooter makes 58% of his free throws Calculate the probabilities for this player as shown in parts (2), (b), and (c) and show that intentionally fouling this player who makes 58% of his free throws is better strategy than intentionally fouling the player who makes 89% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded.
1. What is the probability that this player will make both throws? (to 4 decimals) 2. What is the probability that will make at least one tlrow? (to decimals) 3. What is the probability that thils player wIll mlss bolhi Urows? (to decimals)
Step-by-step explanation:
suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make
a random sample of 75 units is drawn from a production process every half hour. the fraction of nonconforming product manufactured is 0.01. what is the probability that if the fraction nonconforming really is 0.01?
The probability of obtaining a random sample of 75 units from a production process where the true fraction of nonconforming product is 0.01 is extremely high. This is because 0.01 is an extremely low fraction, meaning that out of the 75 units in the sample, only 0.75 would be expected to be nonconforming.
The probability that the fraction of nonconforming product is exactly 0.01 (with 0.75 nonconforming units out of 75) can be calculated using the binomial distribution. This distribution assumes that each unit has an independent probability of being nonconforming, and that this probability is the same for each unit. The probability that the sample will have exactly 0.75 nonconforming units out of 75 is 0.907.
Thus, the probability that the true fraction of nonconforming product is exactly 0.01 is very high, and it is likely that a random sample of 75 units drawn from the production process will have a fraction nonconforming that is close to 0.01.
To learn more about random sample:
https://brainly.com/question/24466382
#SPJ4
A diamond has eight equilateral triangles as faces, as shown. The formula V = 0.4783
approximates the volume (in cubic millimeters) of the diamond, where s is the side length (in millimeters) of each edge. Approximate the length of each edge of the diamond.
V = 161 mm³
The length of each edge of the diamond is about
1
mm.
For a diamond having volume 161 mm³, the value for side length is 7 mm.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The formula for volume of diamond is given as -
V = 0.47 s³
Here, s represents the side length of each edge.
The value for volume of diamond is given as -
Volume = 161 mm³
Plug in the values in the equation -
Volume = 0.47 s³
161 = 0.47 s³
s³ = 161 / 0.47
s³ = 342.553
s = ∛342.553
s = ∛342.553
s = 6.996 mm
Therefore, the side length measures 6.996 ≈ 7 mm.
To learn more about volume from the given link
https://brainly.com/question/1972490
#SPJ1
Anita puts $300.00 into an account to use for school expenses. The account earns 2%
interest, compounded continuously. How much will be in the account after 8 years?
Use the formula A = Pet, where A is the balance (final amount), P is the principal (starting
amount), e is the base of natural logarithms (2.71828), r is the interest rate expressed as a
decimal, and it is the time in years.
Round your answer to the nearest cent.
The amount in the account after 8 years will be $352.05.
What is Compound Interest?Compound interest is when you receive interest on both your interest income and your savings.
Given:
P = $300
R= 2%
T = 8 years
We have to use the function
A = P[tex]e^{rt[/tex]
A = 300.00[tex](2.71828)^{(0.02)(8)[/tex]
A = $352.05
Learn more about Compound Interest here:
https://brainly.com/question/28642748
#SPJ1
Determine the better deal.
6 candy bars for $7.55 7 candy bars for $8.33 9 candy bars for $10.45
Answer:
Step-by-step explanation:
$7.75/6= $1.29
$8.33/7= $1.19
$10.45/9= $1.16
The better deal in the 9 candy bars for $10.45 because its only $1.16 PER candy bar.
Carson is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Carson will earn $20 every time one of his songs is played
in a commercial and he will earn $120 every time one of his songs is played in a
movie. Carson's songs were played on 5 more commercials than movies, and his total
earnings on the royalties from all commercials and movies was $38o. Determine the
number of commercials and the number of movies on which Carson's songs were
played.
Carson's songs were played on commercials and
movies.
Answer:
20×5=100
380-100=280
280÷120=2 and 40 remain
40÷20=2
5+2=7commercials 2 moviesABCD is a kite with AB = BC and AD = DC = AC, the size of
The size of angle BCA is 45 degrees
How to determine the size of angle BCAFrom the question, we have the following parameters that can be used in our computation:
AB = BC and AD = DC = AC
Also, we have
ABC = 90 degrees
Considering the triangle ABC, we have
A + B + C = 180
This is so because the sum of angles in a triangle is 180 degrees
Using the above as a guide, we have the following:
A + 90 + C = 180
So, we have
A + C = 90
Given that
AB = BC
We have
2C = 90
C = 45
Hence, the angle is 45 degrees
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Complete question
ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle BCA
Seti held a party. He says, ‘There were 11 people at my party, and everyone had 3 friends there.’ Is this possible? Explain your answer
Answer:
y
Step-by-step explanation: People there: S (Seti), A, B, C, D, E, F, G, H, I, J
friend group:
S is friends with A, B
A is friends with B, C
B is friends with C, D
C is friends with D, E
E is friends with F, G
F is friends with G, H
G is friends with H, I
H is friends with I, J
I is friends with J, S
J is friends with S, A
Answer:
Yes, it is possible
Step-by-step explanation:
Think the people as points in space and the friendship between two people as a line connecting two points.
Then the question is equivalent to asking whether it is possible for all 11 points being connected by lines such that every point is connected to exactly three other points.
Clearly this is possible, since we always have, for each point, ten other points to connect it to, so we can select any three of the ten.
Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
A. A parabola declines through (negative 0 point 2, 5), (0, 4), (0 point 5, 2), (1, 1) and (2, 0) and rises through (3, 1), (4, 4) and (4 point 5, 6) on the x y coordinate plane.
B. A parabola declines through (negative 4, 4), (negative 3, 1), (negative 2, 0) and rises through (negative 1, 1), (0, 4) and (0 point 2, negative 5) on the x y coordinate plane. C. A curve declines through (negative 6,1) and (negative 4, 0) and rises through (negative 2, 1), (negative 1, 2), (0, 4) and (0 point 5, 5) on the x y coordinate plane. D. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
The correct option for a parabola with given details is D i.e. A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
What exactly is a parabola?
A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
In general, if the directrix is parallel to the y-axis, the typical parabola equation is: y² = 4ax.
If the parabola is sideways, i.e., the directrix is parallel to the x-axis, the conventional parabola equation is x² = 4ay.
Aside from these two, if the parabola is in the negative quadrants, the equation can also be y²= -4ax and x² = -4ay.
Now,
The Graph is drawn for option D in the image and it matches the
details provided in the question.
Hence,
The correct option for a parabola with given details is A curve declines through (negative 1, 6), (0, 4), (1, 2), (2, 1), (4, 0) and (6, 1) on the x y coordinate plane.
To know more about Parabola visit the link
https://brainly.com/question/21685473?referrer=searchResults
#SPJ1
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of multiplication problems to division problems?
Answer as a fraction in simplest form.
A 1/2
its just like you have 1 cookie and 2 apples whats the ratio to cookies from apples
Perpendicular question
The value of a is obtained as follows:
a = 5.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.When two lines are perpendicular, the multiplication of their slopes is of -1.
Then the equation to obtain the value of a is given as follows:
0.5(1 - a) x 0.5 = -1.
0.25(1 - a) = -1
1 - a = -4
a = 1 + 4
a = 5.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
help plsssssssssssssssssss
PLEASE HELP FAST SHOW WORK AND WILL GIVE BRAINLIEST
The linear function modeled by the table is given as follows:
y = 2x - 5.
The slope and the intercept are given, respectively, by:
m = 2, b = -5.
How to obtain the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:
m = 10/5
m = 2.
Hence:
y = 2x + b.
When x = 3, y = 1, hence the intercept b is given as follows:
1 = 6 + b
b = -5.
Hence the function is:
y = 2x - 5.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
