By using the formula for the area of a cone, we will get:
i) 942 cm^2ii) 84.78cm^2iii) 885.48cm^2How to get the surface areas?
First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:
A = pi*R^2 + pi*R*H
Then for the original cone where:
R = 10cm
H = 20cm
The area is:
A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2
Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:
R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm
So the area of the removed cone is:
A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2
The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)
A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2
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Question Factor −1/4 out of −1/2x−5/4y.
Please help with this i will give a big reward on god.
Answer: 2.9
Step-by-step explanation:
area of roof = (.5)(base of house)(left side - right side)
area of roof = (.5)(2)(2.8 - 1.8)
area of roof = (.5)(2)(1) = 1
area of bottom = left height x base of house
area of bottom = 1.8 x 2 = 3.6
area of house = area roof + area bottom
area of house = 1 + 3.6 = 4.6
area without door = area house - area door
area door = door height x door width
area door = 1.7 x 1
area door = 1.7
area without door = 4.6 - 1.7 = 2.9
Hi I could use some help with this, thank u!
Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction
The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be
The z-score will be given as
[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]
More about the z-score link is given below.
https://brainly.com/question/15016913
Answer:
A
Step-by-step explanation:
edge 2022
16+(5 to the 2nd power -7)divided by 3
answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
--
if this helped, please consider giving brainliest !
Apply properties of operations to show why 3.5n + 4 (5 1/4n - 1.5) is equivalent to -21 (2/7 - 7/6n)
Applying the properties of operations; it follows that; 3.5n + 4 (5 1/4n - 1.5) is equivalent to -21 (2/7 - 7/6n).
Properties of OperationsThere are four (4) basic properties of real numbers which apply to addition and multiplication: namely; commutative, associative, distributive and identity.
Hence, by the cumutative property of multiplication and associative property of addition, it follows that;
4× -1.5 = -21(2/7)3.5n + 4(5 1/4n) = -21(7/6n)Hence, it follows that the expressions are equivalent.
Read more on properties of operations;
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Simplify: [(13 + 8) ÷ 3] − 4 =
Answer:
3
Step-by-step explanation:
First you do 13 + 8
13 + 8 = 21
Then you divide by 3
21 divided by 3 is 7
Finally you subtract 4
7 - 4 = 3
Hope this helps!!
Answer:
3
________________________________________________________
SolveWhen doing problems, remember PEMDAS, the order of operations:
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo by the list from top to bottom, and prioritize the higher-up orders first.
Start with 13 + 8
[tex]13 + 8 = 21[/tex]
Next, divide by 3
[tex]21 / 3 = 7[/tex]
Lastly, subtract by 4
[tex]7 - 4 = 3[/tex]
________________________________________________________
Questions?Ask me in the comments box, please.
Find the length of the segment indicated. Round your answer to the nearest tenth. Please and thank you so very much!!!
Answer:
14.7
Step-by-step explanation:
The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).
To solve for x, we use the pythagorean theorem as this is a right triangle:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]
This is 14.7 when rounded to the nearest tenth
Solve for x (literal equations):
c=b-bx show work
Answer:
x = [tex]\frac{b-c}{b}[/tex]
Step-by-step explanation:
c = b - bx ( add bx to both sides )
bx + c = b ( subtract c from both sides )
bx = b - c ( divide both sides by b )
x = [tex]\frac{b-c}{b}[/tex]
Help PLEASE find AD and BC
Step-by-step explanation:
so AD=DC and DC=12 so AD=12
the lines AB=BC so 3x+1=2x+6 simplify and get x=5
plug in and get BC=16
What’s the scale factor? Quick
This is on ixl and I have to get at least a 90
Answer:
4
Step-by-step explanation:
We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.
Find the x-intercept and y-intercept of the line
4x-6y=36
Step-by-step explanation:
4x - 6y = 36
x intercept: 9, 0
y intercept: 0, 6
The measure of an angle is eighty-nine times it's supplementary angle. what is the measure of each angle.
I need two answers,
Answer:
178 and 2
Step-by-step explanation:
sum of supplementary angles are 180
so, x+ 89x = 180
=> x+89x = 180
=> 90x = 180 [the transposing method]
=> x = 180/90
=> x = 2
now we have the value of one angle
as the other angle is 89 times x,
=> 89x
=> 89*2
=> 178
now, we have the measure of both the angles which equals 180 degree
178 degree and 2 degree
John is 62 inches tall. He is stacking algebra books on his desk. His teacher tells him not to make the stack taller than his own height. The top
of his desk is 32 inches from the floor, and each book is 1.5 inches thick. John wants to write an inequality to show how many books he could
stack.
Which inequality sign should John use?
Answer:
The answer would be [tex]\leq[/tex] :)
Step-by-step explanation:
The equation would look like this :)
1.5x + 32 [tex]\leq[/tex] 62
Have an amazing day!!
Please rate and mark brainliest!!
A proportional relationship is shown in the table below:
X - 0 0.3 0.6 0.9 1.2
Y- 0 1 2 3 4
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
Answer:
slope intercept for is y=MX+b and to find the slope it's y1-y2/x1-x2
The slope would be 10/3.
And the line should intersect at the origin (0,0) and the second dot should be at the point (3,10)
Solve for h. h - 45 = -35A.h = -10B.h = 10C.h = -80D.h = 80
PLS HELP HURRY
Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16
Answer:
A.15.21
Step-by-step explanation:
In rounding of numbers when the next number is greater than 5 u round it on next number by adding one
The price of an item has been reduced by 45 percent The original price was 99
awnser pls
Eighth grade
CC. 14 Box plots Y Z
Mrs. James, a sixth grade teacher, recorded how many minutes each student reported
reading over winter break.
Time spent reading (min. )
+
0
100
200
300
400
500
What was the upper quartile of the time spent reading?
minutes
Submit
The upper quartile of the time spent reading, as shown in the box plot is: 300.
What is the Upper Quartile of a Data in a Box Plot?In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.
In the box plot, 300 is the value located at the end of the edge of the rectangular box.
Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.
Learn more about upper quartile on:
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name the two operations used for converting weight measurement
Answer:
grams and kilograms it got delted for some reason
Step-by-step explanation:
what us the circumference of circular ground of diameter d m ? find it.
answer:
[tex]\pi d \: m[/tex]
can you explain me how?
Here the diameter = dm
Formula of circumference for circle: 2πr or πd
where "d" is diameter and "r" is radius
diameter = 2(radius)For this question:
circumference:
π(d)π(dm)πdmoptions are
a) -2 and 12/5
b) 1 and 2
c)8/3 and 2
d) 3 and 4
PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!
Answer:
Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7
Answer:
The two solutions: 7/8 & 0.92
Step-by-step explanation:
[tex]\frac{5}{7} =0.714[/tex]
7/8 = 0.875, because 0.875 [tex]\geq 0.714[/tex]
0.92 because [tex]\geq[/tex] 0.714
Hope this helps
Find the surface area of this figure.
Answer:
66550000000 in.²
Step-by-step explanation:
22³in x 10⁴in x 5⁴in = 66550000000 in
A tree is 7 feet tall. If it grows 9 inches each year, how tall will the tree be in 10 years
Answer:
174 in.
14.5 ft.
Step-by-step explanation:
1. 7ft = 84in
2. 9in x 10 = 90
3. 84in + 90in = 174 in
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]
[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]
[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]
Circumference of Semicircle :
[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]
[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]
[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]
Length of common side = 4 feet
So, perimeter of composite figure :
[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]
[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]
Describe and correct the error in the given statement: The relation (1,-5), (2,-5), (3,6), (4,11) is not a function because the inputs 1 and 2 are both paired with the output -5.
Answer:
15-5+38+8+595+2+8+6+9+7-5+29-8+8-5-5+2+8+3+9
How many ways can 8 books be arranged on a shelf? Show all of your work for full credit.
There are 40,320 ways, in which 8 books can be arranged on a shelf.
Solution:Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .Permutations :
A permutation is an arrangement of objects in a definite order.➲ P ( n, r )= n ! / ( n - r ) !
n = total number of objectsr = number of objects selectedThe number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !
If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.
Explanation:I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.
Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:
8 ! = 40 , 320 .
x is proportional to root y where y>0
Answer:
x is proportional to √y where y > 0
Step-by-step explanation:
Which equation has a vertex at (3, –2) and directrix of y = 0?
y + 2 = StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = 8 (x minus 3) squared
y + 2 = negative StartFraction 1 Over 8 EndFraction (x minus 3) squared
y + 2 = negative 8 (x minus 3) squared
Answer: C
Answer:
The square below represents one whole.
What percent is represented by the shaded area?
The square below represents one whole.
What percent is represented by the shaded area?The square below represents one whole.
What percent is represented by the shaded area?The square below represents one whole.
What percent is represented by the shaded area?The square below represents one whole.
What percent is represented by the shaded area?vvvvStep-by-step explanation:
