Answer:
The change in the cone produces a greater increase in volume.
Step-by-step explanation:
Let's start with the cone.
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
[tex]V = \frac{1}{3} \pi 3r^{2} \frac{h}{2}[/tex] (In your case, you would type V = 1/3pi3r^2h/2)
The changes that occurred are [tex]3^{2}[/tex] and [tex]1/2[/tex]. When we add these together we get [tex]9/2[/tex].
Now the cylinder.
[tex]V = \pi r^{2} h[/tex]
[tex]V = \pi r^{2} 2h[/tex] (In your case, you would type V = pir^2 2h)
The change that occurred is [tex]2[/tex].
[tex]9/2[/tex] is greater than [tex]2[/tex] which means that the change in the cone produces a greater increase in volume.
Answer:
Step-by-step explanation:
For the cone V k1= (Pi/3) .R squared .H
V k2= (pi/3) . (3R)squared . (H/2)=(9/2) .(PI/3) . R squared.H
=(3pi/2) R.squared.H
3pi/2
nk= 2/ pi/3
N k= 9/2
For the cylinder
V c1=Pi .R squared.H
V c2= Pi.R squared.(2H)
N c=V c2/V c1=2
Cone has greatest change in volume
Hope this helps!!!!!!!!
Does the following equation determine y to be a function of x? Y2=x+3
Answer:
no
Step-by-step explanation:
cant mult. by power of 10
Answer:
no
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!
Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds
Answer:
3 MIN AND 46 SECONDS. ITHINK BUT DONT QUOTE ME
Step-by-step explanation:
What is the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?
Answer:
The volume of the cylinder in feet is
V= 9.43ft³
Step-by-step explanation:
Step one
The formula for the volume of a cylinder is given as
V=πr²h
Where r= radius
h= height
Step two
Given Data
Radius = 1foot
Height = 3 feet
Substituting in our formula we have
V=3.142*1²*3
V= 9.43ft³
Answer:
i just got this question... It was B
3pie ft^3
Step-by-step explanation:
please help i’ll mark brainlest
++-Answer:58
Step-by-step explanation:
Answer:
∠ H = 84°
Step-by-step explanation:
Since HI = IJ then Δ HIJ is isosceles with ∠ IHJ = ∠ IJH, thus
∠IHJ = [tex]\frac{180-134}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23°
Similarly
Since HG = JG then Δ HGJ is isosceles with ∠ GHJ = ∠ GJH, thus
∠ GHJ = [tex]\frac{180-58}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61°
Thus
∠ H = ∠ GJH + ∠ IHJ = 61° + 23° = 84°
Find the range of the data set 145,612,120,349,515,212,590
Answer:
the range is 492
Step-by-step explanation:
to find range you have to subtract the smallest number from the largest number so you would subtract 120 from 612 which gets you 492
Answer:
The range in the following data set is 470.
Step-by-step explanation:
It's easy, you just have to subtract the highest number from the data set with the lowest number.
So the highest value in this data set would be 590 and the lowest number in the list is 120.
So:
Range: 590 - 120 = 470
~hope this helps~
What is the domain of the function y=2ex graphed below?
Answer:
I´m pretty sure its all real numbers
Step-by-step explanation:
Well I already know that y=0,and the domain would be (-∞,∞)
hope this helps!
Answer: d. all real numbers!!
Step-by-step explanation:
Edge
Solve -2x + 1 < -3
x < 2
x > 2
x = 2
Answer:
x > 2
Step-by-step explanation:
-2x+1 < -3
-1 -1
-2x < -4
-2x/-2 < -4/-2
x>2
You reverse the sign when dividing by a negative number.
Step-by-step explanation:
x>2
−2x+1<−3
−2x<−3−1
−2x<−4
x>-4/-2
x>4/2
x>2
Which ordered pairs could be points on a line parallel to the line that contains (3,4) and (-2,2) check all that apply.
Options:
(-2,-5) and (-7,-3)
(-1,1) and (-6,-1)
(0,0) and (2,5)
(1,0) and (6,2)
(3,0) and (8,2)
Answer:
B: (-1, 1) and (-6, -1)
D: (1, 0) and (6, 2)
E: (3, 0) and (8, 2)
Step-by-step explanation:
Hope this helps! :D
Answer:
there' yo answer. B,D,E
The area is 60 squared units. perimeter is 38 units list all combinations & identify the correct dimension
Answer:
The dimensions are lenght = 15 units
And width = 4 units
Step-by-step explanation:
Kindly refer to the attached image for explanations
Factor x 2 + 29x - 30.
(x + 15)(x - 2)
(x + 1)(x - 30)
(x - 1)(x + 30)
Answer:
Step-by-step explanation:
x² + 29x - 30
Product = -30
Sum = 29
Factor = 30 * (-1)
x² + 30x - 1x - 30 = x*(x + 30) -1*(x +30)
= (x + 30) (x - 1)
Answer:
(x - 30)(x - 1)
That's your answer!!!
The circle above has a radius of 9 cm what is the area of the circle? pi equals 3.14
Answer:
The area of the circle would be 254.469004941 cm²
Hope this helps!! :)
Answer:
254.34cm²
Step-by-step explanation:
In order to find the area of a circle, you use the formula
[tex]A=\pi[/tex]×[tex]r^{2}[/tex], which is [tex]A=\pi (9)^{2}[/tex] if put into this problem.
You look for [tex]9^{2}[/tex] which equals 81. Then you plug it in to multiply to [tex]\pi[/tex]. Which is:
[tex]A=81\pi[/tex]
[tex]A= 254.34[/tex]
write 2.463 in expanded form and word form
Answer:
Standard Form:
2.463
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
2
+ 0.4
+ 0.06
+ 0.003
Expanded Factors Form:
2 × 1
+ 4 × 0.1
+ 6 × 0.01
+ 3 × 0.001
Expanded Exponential Form:
2 × 100
+ 4 × 10-1
+ 6 × 10-2
+ 3 × 10-3
Word Form:
two and four hundred sixty-three thousandths
Use technology or a z-distribution table to find the indicated area.
The weights of apples in a bin are normally distributed with a mean of 143 grams and a standard deviation of 4.2 grams.
Approximately 30% of the apples weigh less than which amount?
133 g
B.) 135 g
C.) 137 g
D.) 141 g
Answer:
I think it's answer D. (141). :D
Step-by-step explanation:
30% of the apples weigh less than 141 grams.
What is z- distribution?The z-distribution, also known as the standard normal distribution or the standard Gaussian distribution, is a probability distribution that is often used in statistics. It is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.
First, we need to find the z-score corresponding to a cumulative probability of 0.30.
Using the z-distribution table, we find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52.
The z-score formula is given by:
z = (x - μ) / σ
Where:
z is the z-score
x is the value we want to find the corresponding z-score for
μ is the mean of the distribution
σ is the standard deviation of the distribution
Rearranging the formula to solve for x:
x = zσ + μ
x = -0.52 (4.2) + 143
x ≈ 140.94
Therefore, 30% of the apples weigh less than 141 grams.
Learn more about z score here:
https://brainly.com/question/31871890
#SPJ2
What are the coordinates of vertex F of parallelogram FGHJ? (–2, 2) (–2, 6) (–3, 4) (–4, 2)
Question:
Parallelogram f"g"h"j" is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj. The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)
what are the coordinates of vertex f of parallelogram fghj?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Given:
Given that the the coordinates of the parallelogram f''g''h''j'' is the final image after the rule ry-axis • t1,2(x, y) was applied to parallelogram fghj.
The coordinates are f''(3,4), g''(2,2), h''(4,2) and j''(5,4)
We need to determine the coordinates of vertex f of parallelogram fghj.
Reflection across y - axis:
The general rule to reflect the coordinate across y - axis is given by
[tex](x,y) \rightarrow (-x,y)[/tex]
Substituting the coordinate f''(3,4), we get;
[tex](3,4)\rightarrow (-3,4)[/tex]
Thus, the coordinates of f'' of reflection across the y - axis is (-3,4)
Translation T1,2(x, y):
The translation can be performed using the rule,
[tex]T_{1,2}(x,y)=(x+1,y+2)[/tex]
Now, substituting the coordinate (-3,4), we get;
[tex]T_{1,2}(-3,4)=(-3+1,4+2)[/tex]
[tex]T_{1,2}(-3,4)=(-2,6)[/tex]
Thus, the coordinates of vertex F is (-2,6)
Hence, Option b is the correct answer.
The answer is D) (-4,2) on Edge 2020
A book is markdown by 28% from an original price of $19.50. What is the new price?
Answer:
$14.04
Step-by-step explanation:
19.50 - 28%·19.50 =
= 19.50 - 28·19.50/100
= 19.50 - 546/100
= 19.50 - 5.46
= $14.04
Carla, the baker, worked for 5 hours to make cookies. She made 380 cookies altogether. Write an equation to express how many cookies Carla made each hour.
The edges of the bases of the frustum of a regular square pyramid have length 5 and 9, and the slant height of the frustum is 6. What is the:
VOLUME OF THE FRUSTUM
SURFACE AREA OF THE FRUSTUM
I NEED HELP PLEASE PLEASE PLEASE
The volume is 201√2 and the surface area is 274.
To solve the problem, we need to calculate both the volume and the surface area of the frustum of a regular square pyramid with given dimensions.
First, let's find the volume of the frustum. The volume V of a frustum of a pyramid can be calculated using the formula:
[tex]\[ V = \frac{1}{3}h(B_1 + B_2 + \sqrt{B_1B_2}) \][/tex]
where h is the height of the frustum, [tex]\( B_1 \)[/tex] is the area of the smaller base, and [tex]\( B_2 \)[/tex] is the area of the larger base.
Given that the edges of the bases are 5 and 9, the areas of the bases are:
[tex]\[ B_1 = 5^2 = 25 \] \[ B_2 = 9^2 = 81 \][/tex]
To find the height , we can use the Pythagorean theorem on the right triangle formed by the slant height, half of the difference of the base edges, and the height of the frustum:
[tex]\[ h = \sqrt{s^2 - \left(\frac{a_2 - a_1}{2}\right)^2} \][/tex]
where s is the slant height, [tex]\( a_1 \)[/tex] is the edge of the smaller base, and [tex]\( a_2 \)[/tex] is the edge of the larger base. Plugging in the given values:
[tex]\[ h = \sqrt{6^2 - \left(\frac{9 - 5}{2}\right)^2} = \sqrt{36 - 4} = \sqrt{32} = 4\sqrt{2} \][/tex]
Now we can calculate the volume:
[tex]\[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (25 + 81 + \sqrt{25 \cdot 81}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + \sqrt{2025}) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot (106 + 45) \] \[ V = \frac{1}{3} \cdot 4\sqrt{2} \cdot 151 \] \[ V = \frac{1}{3} \cdot 604\sqrt{2} \] \[ V = 201\sqrt{2} \][/tex]
Next, let's calculate the surface area of the frustum. The surface area \( A \) of a frustum is the sum of the areas of the two bases and the area of the lateral surface:
[tex]\[ A = B_1 + B_2 + A_{\text{lateral}} \][/tex]
The lateral surface area [tex]\( A_{\text{lateral}} \)[/tex] can be found using the formula:
[tex]\[ A_{\text{lateral}} = \frac{1}{2}(P_1 + P_2)s \][/tex]
where [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex] are the perimeters of the smaller and larger bases, respectively, and s is the slant height. Since the pyramid is regular and square:
[tex]\[ P_1 = 4a_1 = 4 \cdot 5 = 20 \] \[ P_2 = 4a_2 = 4 \cdot 9 = 36 \][/tex]
Now we can find the lateral surface area:
[tex]\[ A_{\text{lateral}} = \frac{1}{2}(20 + 36) \cdot 6 \] \[ A_{\text{lateral}} = \frac{1}{2} \cdot 56 \cdot 6 \] \[ A_{\text{lateral}} = 28 \cdot 6 \] \[ A_{\text{lateral}} = 168 \][/tex]
Adding the areas of the bases:
[tex]\[ A = 25 + 81 + 168 \] \[ A = 274 \][/tex]
Therefore, the volume and surface area of the frustum are:
[tex]\[ {V = 201\sqrt{2}} \] \[ {A = 274} \][/tex]
please help
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle?
Answer:
Step-by-step explanation:
part A. area = L X H
9 x 8/9 = 72/9 = 8 square feet
Part B. Draw a line diagonally either between Point A & C or B & D, this would make 2 triangles.
the area of the triangle would be half of the full area so 8 / 2 = 4 feet square
What is the volume of a cylinder with the base radius 3 and height 8 either enter an exact awnsers in terms of pi or use 3.14 for pi and enter your awnser as a decimal
Answer:
V=226.195
Step-by-step explanation:
Answer:
226.08
Step-by-step explanation:
because 3.14 times 3 squared times 8 is what it equal
What is the radius of the cone?
1 cm
2 cm
4 cm
8 cm
Answer:
The radius of the cone is 2 cm. Hope this helps!!!
Step-by-step explanation:
Answer:
answer is 2 cm
Step-by-step explanation:
Factor completely. -5 x2y + 10 xy - 15 xy2
I need help.
Answer:
[tex]5\,x\,y\,(-x+2-3y)[/tex]
Step-by-step explanation:
Always proceed by first extracting all common factors to all terms:
Notice that the factors: 5, x, and y are present in all terms, so we can extract them from the trinomial:
[tex]-5x^2y+10xy-15xy^2\\5\,x\,y\,(-x+2-3y)[/tex]
Now, the trinomial left (-x+2-3y) cannot be factored out, so then factoring is complete.
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is square units
B17, -2)
C(4,-6)
Question:
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ______ square units.
Cordinates are given below.
A(-9, 10)
B(7, -2)
C(4,-6)
Answer:
50 square units
Step-by-step explanation:
Image to question is attached.
Given:
Length of BC = 5 units
Coordinates:
A = (-9, 10)
B= (7, -2)
C = (4, -6)
Let's take BC as base, and AB as height.
Since we know length of BC, let's find length of AB.
Length of AB =
[tex] \sqrt{(-9 - 7)^2 +(10 + 2)^2 [/tex]
[tex] = \sqrt{(256)+(144) [/tex]
= 20.
Therefore, the area of triangle ABC [tex] = \frac{1}{2} b*h [/tex]
[tex] = \frac {1}{2} * 5 * 20 [/tex]
= 50 square units.
Answer: 50
Step-by-step explanation:
Perimeter math problem.
Work out the percentage change to 2 decimal places when a price of £70 is increased to £99
Answer:
41.43%
Step-by-step explanation:
Change:
99 - 70 = 29
% change:
29/70 × 100
= 41.42857143%
Find the midpoint of the segment in the diagram
Answer:
(-1/2,1/2)
Step-by-step explanation:
We have the two endpoints
(-3,-2) and ( 2,3)
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-3+2)/2 = -1/2 =-1/2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(-2+3)/2 = 1/2
The midpoint is (-1/2,1/2)
QUESTION 1
Use function notation to write the equation of the line.
Answer:
the equation is f(x)= 2/3x -2. or c
Step-by-step explanation:
you know that it cant be d because the y- intercept is -2 not +2. and you know that it cant be b because it is a positive slope. to find the slope you need to find 2 points that that the line crosses through, like (0, -2) and (3,0). now you see that it goes up 2 and over 3. 2/3
f(x)= 2/3x -2
I know the answer is 11, but can anyone explain to me why?
(I will mark the first one to answer as brainliest!!)
Answer:
we know that the most repeated value is mode and here we can see that the most repeated value is 11 that is 20 times so it's mode is 11.
Hope you understood
Jane is the regional manager of Graphic DesignWorks. She earns an annual
salary of $82,500. She manages 5 branches of Graphic Design Works equally.
How much of her salary will each branch pay for?
O
A. $16,500
O B. $25,800
O C. $20,625
O D. $50,000
Answer:
A. $16,500
Step-by-step explanation:
82500/5
Can you explain it and help me out pleasssee
B is the correct answer.
Answer:
B.
Step-by-step explanation:
Answer:
B. x= -1, x=3
Step-by-step explanation:
4x²-8x -12 =0 /:4
x² - 2x -3=0
x² - 3x + x -3 = 0
x(x-3) + 1(x-3)=0
(x-3)(x+1)=0
x-3 =0 or x+1 =0
x=3 and x = -1
The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning 4 games in a row?
Answer:
1 /81
Step-by-step explanation:
1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81
This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
Given:
The probability of winning the shell games if you randomly pick is 1 in 3.
We need to calculate the approximate probability of winning 4 games in a row.
According to the question,
By using the formula of probability,
[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]
It is given that, probability of winning is 1 in 3.
Now, calculating the approximate probability of winning 4 games in a row is,
[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]
Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
For more details, prefer this link:
https://brainly.com/question/11234923