A lamp shade is in form of a frustum of a cone , its upper and lower diameter are 10cm and 20cm respectively , its height is 12cm . Calculate the volume of the frustum
Answer:
V = 8796.45 [tex]cm^3[/tex]
Step-by-step explanation:
Given data :
A lamp shade is in the form of a frustum of a cone.
The upper diameter of the cone, r = 10 cm
The lower diameter of the cone, R = 20 cm
The height of the frustum, h = 12 cm
Therefore, the volume of the frustum of cone is given by :
[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]
Putting the values, we get
[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]
[tex]$V=4 \pi[400 + 200+100]$[/tex]
[tex]$V=4 \pi[700]$[/tex]
V = 8796.45 [tex]cm^3[/tex]
Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]
How do I find Y Im still confused on how to solve Y and if you have any tips please lmk asap. Thank you
Answer:
y = 3
Step-by-step explanation:
Since ABCD is similar to EFGH, therefore, the ratio of their corresponding sides are equal. Thus:
AB/EF = CD/GH
AB = 3
EF = 2
CD = 4.5
GH = y
Substitute
3/2 = 4.5/y
Cross multiply
3*y = 4.5*2
3y = 9
Divide both sides by 3
3y/3 = 9/3
y = 3
2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft
20% of 2kg ( in g).
Please help
Answer:
[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]
Answer:
400 g
Step-by-step explanation:
0.20 x 2 kg = 0.4 kg
0.4 kg x (1000g / 1kg) = 400 g
A triangle is shown. What is X?
Answer: 44º
Step-by-step explanation:
Hi there! To start out, disregard Y and Z, as they are just there to trip you up.
Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!
82+54+X=180
Then, add the whole numbers!
136+X=180
Then isolate X by using inverse operations!
136+X-136=180-136
Then your answer is there!
X=44
If you have any follow up questions, please let me know! Have a nice day
help please, i have absolutely no idea how to do this :(
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
Two points are ( 8, 0 ) and (0 , - 4)
[tex]slope \ , \ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -0}{0-8}=\frac{-4}{-8} = \frac{1}{2}[/tex]
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 39% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 66 of the dragon eggs to incubate. Consider all the possible samples of 66 dragon eggs. What is the usual number of yellow eggs in samples of 66 eggs
Answer: The usual number of yellow eggs in the selected sample is 26.
Step-by-step explanation:
It is given that there are 2 types of dragon eggs: Yellow and green
Observation says that 39% of the eggs are yellow.
When selected at random for incubation:
Number of eggs selected are = 66
To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs
[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]
Hence, the usual number of yellow eggs in the selected sample is 26.
14. Which is the first step in solving: X - 1/3 = 1/3 ?*
Answer:
Step-by-step explanation:
In this case "solving" involves isolating the variable, x, on the left side of this equation.
Starting with x - 1/3 = 1/3, we add 1/3 to both sides. This results in:
x = 1/3 + 1/3, or x = 2/3.
Thank for answer thank you
Answer:
Volume = 840 cm^3
Step-by-step explanation:
Volume = Area of front x the length
Area of front = 15 x 8 = 120 cm^2
= 4 x 5 = 20 cm^2
= 120 + 20 = 140 cm^2
Volume = 140 x 6
Volume = 840 cm^3
If this helps you, please mark brainliest!
Answer:
Formula for Volume - L x W x H
Volume = 1080cm^3
360 + 720
1080
Rotate the triangle 90° anti-clockwise about the cross.
Answer:
see below
Step-by-step explanation:
-90 degrees, the rule is (x, y) --------> (-y, x)
The leftmost point is at (1,1) so it will be at (-1, 1)
The top right point is at (4,1) so it will be at (-1,4)
The bottom right point is at (4,-1) so it will be at (1,4)
A map of an island is shown on a half-centimeter grid,
where A, B, and Care houses.
The actual distance between A and B
is 960 meters.
a) Work out the scale on the map
Give your answer as 1:n
Answer:
The answer is below
Step-by-step explanation:
A map can either be scaled up or scaled down. If the map is enlarged then it is scaled up and hence represented by n:1, where n > 1. While is the map is reduced, it is scaled down and is represented by 1 : n, where n < 1.
Since one box has a length of 1 cm by 1 cm. The distance between A and B is 4 boxes = 4 cm = 0.04 m
Hence the scale is given as 1:n, where n > 1. n is gotten from:
n = 960 m / 0.04 m = 24000
Therefore the scale is 1 : 24000
Answer:
1:48000
Step-by-step explanation:
960m=96000cm
What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x
Answer:
Combine like terms
Step-by-step explanation:
3x + 6 = 10 + 3x + 4x
Combine like terms
3x + 6 = 10 + 7x
Subtract 3x from each side
3x-3x + 6 = 10 + 7x -3x
6 = 10 +4x
Subtract 10 from each side
6-10 = 10+4x-10
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
Answer:
3x + 6 = 10 + 7x
is the first step to solving this equation
The product of b and 5 is greater than or equal to −23.
Answer:
Step-by-step explanation:
Product of b and 5 = b*5 = 5b
Inequality:
5b ≥ - 23
Solution:
Divide both sides by 5
b ≥ -23/5
b ≥ -4.6
Answer:
5b≥ -23
Step-by-step explanation:
product of b and 5 - this means multiply
5b
is greater than or equal - ≥
5b≥ -23
Solving
Divide by 5
5b/5≥ -23/5
b≥ -23/5
tapes that usually cost $8 each are on sale for 30% off what is the price for a tape on sale?
Answer:
$5.6
Step-by-step explanation:
Answer:
8*30/100= 2.4
so present cost = 8.0 - 2.4 = $ 5.6
Step-by-step explanation:
Are lines l and k parallel?
Answer:
yes they ar op b
Step-by-step explanation:
An article bought for $125 was sold %175. The percentage profit
Answer:
40% profit
Step-by-step explanation:
There is a profit of $50.
If you were to find the percentage, you would divide 50 by 125. This would give you 0.4
ILL MARK BRAINLIEST FIRST ANSWER I PROMISE !!!
( if it's absurd i'll report, sorry )
If y represents a student's age, which inequality shows that you must be older than 14 to try out for the basketball team?
a. y>14
b. y≥14
c. y<14
d. 14=y
Answer:
a) y > 14
Step-by-step explanation:
worth 11 points and actually help me instead of taking the points plz
Answer:
C'(-1,1)
Step-by-step explanation:
The coordinates of C are (-2,4).
The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.
(-2+1,4-3)
=(-1,1)
C' has the coordinates (-1,1)
Answer:
Its ([-1],[1])Step-by-step explanation:
By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.
What is 16/5 inches by 10/4 inches in area
Answer: 8
Step-by-step explanation:
16/5 x 10/4 = 8
Answer:
Area = 8 inches
Step-by-step explanation:
[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]
Super Storage takes storage cubes to customers, the customers fill them, and then super storage takes the cubes to their storage warehouse. The volume for one storage cube is 1,041 1/4 cubic feet. If the cubes length is 12 1/4 feet and the width is 8 1/2 feet, how tall is 1 cube.
Answer:
The height is 10ft
Step-by-step explanation:
Given
[tex]V = 1041\frac{1}{4}ft^3[/tex] --- Volume
[tex]L = 12\frac{1}{4}ft[/tex] --- Length
[tex]W = 8\frac{1}{2}ft[/tex] --- Width
Required
The height (H)
The volume is calculated using:
[tex]V = LWH[/tex]
Make H the subject
[tex]H = \frac{V}{LW}[/tex]
Substitute values for V, L and W
[tex]H = \frac{1041\frac{1}{4}}{12\frac{1}{4}*8\frac{1}{2}}[/tex]
Express as decimals
[tex]H = \frac{1041.25}{12.25*8.5}[/tex]
[tex]H = \frac{1041.25}{104.125}[/tex]
[tex]H = 10[/tex]
The height is 10ft
if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet
Answer:
276.32
Like I have explained in a prev. Question of yours.
Answer:
The surface area of cylinder is 276.32 feet²
hope it helps
have a nice day
The area model represents the quotient of 108 ÷ 9. Which equation shown by the area model can be used to find the quotient?
Solution :
Given that the area model that represents a quotient of 108 ÷ 9.
So, we multiply 9 by multiples of [tex]10[/tex] to [tex]\text{estimate the quotient.}[/tex]
10 20 30 40
90 180 270 360
Because 108 is between 90 and 180, the quotient lies between 10 and 20.
Using 10 as the first partial quotient in the area model for 108 ÷ 9,
9 x 10 = 90 , so 108 - 90 = 18
Now, 9 x 2 = 18, so 18 - 18 = 0
∴ 10 + 2 = 12
Therefore, the quotient of 108 ÷ 9 is 12.
Answer: 108 ÷ 9 is 12.
Step-by-step explanation:
A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
Step-by-step explanation:
Let's first state the null and alternative hypotheses for this research;
H0: p = 0.30
Ha: p ≠ 0.30
Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
Hello! I am simply looking for help, no this is not a test. Once again I am just looking for hints/help.
Answer:
No problem, here is a tip
Step-by-step explanation:
take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9
What value of s makes the equation true?
Answer:
-17 =s
Step-by-step explanation:
-8s +4 = -7s +21
Add 8s to each side
-8s+8s +4 = -7s+8s +21
4 = s+21
Subtract 21 from each side
4-21 = s+21-21
-17 =s
Answer:
s = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-8s + 4 = -7s + 21
Step 2: Solve for s
[Addition Property of Equality] Add 7s on both sides: -s + 4 = 21[Subtraction Property of Equality] Subtract 4 on both sides: -s = 17[Division Property of Equality] Divide -1 on both sides: s = -17Someone please do this one
Answer:
150
Step-by-step explanation:
3x x 5= 15
y=15
5 x 15 = 75
75 x 2 = 150
Answer:
2xy = 150
Step-by-step explanation:
Plug in the values of x and y into 2xy.
You would get 2(5)(3x), which simplifies to 30x.
Plug in the value of x again.
30(5) = 150.
Using Special Angle Triangles find the exact value :
a) cos 45º
b) tan 30 °
C) CSC 45°
d) sec 60°
I’d appreciate your help please and thank you!
Answer:
Step-by-step explanation:
Trigonometric table has the value of the trigonometric ratio of Sin, Cos , Tan , Csc, Sec & Cot of the angles 0° , 30°, 45° , 60°, 90°
Cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex]
Tan 30 = [tex]\frac{1}{\sqrt{3} }[/tex]
[tex]Csc 45 = \sqrt{2}\\\\\\Sec 60 = 2[/tex]
what cannot form a triangle 10 POINTS
Find the value of x. Geometry
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[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Given,
< BAG = 2x°
< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]
< CAD = x°
____________________
Value of x = ?
____________________
From the figure we can see that,
< BAG + < BAC + < CAD = 180° (supplementary angles)
____________________
So to solve,
[tex] < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]
⏩ The value of x is [tex]\boxed{30}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex]RainbowSalt2^{2}2^{2}[/tex] ღ
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