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Related Questions
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
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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]
Rotate the triangle 90° anti-clockwise about the cross.
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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)
4. Find the perimeter of quadrilateral PQRS
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steve desposite $1800 per month in his saving bank account. If thi is 20% of the monthly income, find his monthly income
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Step-by-step explanation:
Hey there!
The amount deposited= $1800
And it's just 20% of total monthly amount.
Let total amount be "x".
Then;
$1800 = 20% of X
[tex]1800 = \frac{20}{100} \times x[/tex]
or, 180000= 20x
or, X = 180000=/20
Therefore, total monthly amount or income was $9000.
Hope it helps!
Write an example for binomial of degree 999.
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Answer:
x⁹⁹⁹ + 1
Step-by-step explanation:
a binomial is a polynomial that is the sum of two terms
x⁹⁹⁹ + 1
find the area D (1,3) F (-4,-3) E (4, -3)
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Answer:
Step-by-step explanation:
FE=4+4=8
Altitude=3+3=6
area=1/2×FE×6=1/2×8×6=24 sq. units.
or
area=1/2×
I 1 3|
|-4 -3|
| 4 -3|
| 1 3|
=1/2[(-3+12)+(12+12)+(12+3)]
=1/2[9+24+15]
=1/2[48]
=24 sq. units
Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet
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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
What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x
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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
Are lines l and k parallel?
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Answer:
yes they ar op b
Step-by-step explanation:
A 12 pack of lemonade costs $5.40.how much do each lemonade costs?
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Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
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Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
Four rays come together at a single point. What is the value of the missing angle?
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Answer:
? = 140
Step-by-step explanation:
The rays form a circle, which is 360 degrees
90+ 105+25+? = 360
Combine like terms
220+? = 360
? = 360-220
? = 140
140 degrees
Explanation:
All of those angles would add up to 360 degrees since it makes up a full circle.
360-105-90-25= 140
NO LINKS !!!!
Select all the pairs that are alternate interior angles.
1/2 5/6
4/38/7
A. Z6 and 25
B. 23 and 2 5
C. Z 5 and 24
OD. Z 8 and 2 1
E. Z 2 and 28
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what cannot form a triangle 10 POINTS
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I’m really confused, can I get some help
True or False: The following lengths make a right triangle?
a = 6
b = 8
C = 9
6
8
9
O True
O False
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Answer:
False is the correct answer
6²=36
8²=64 add them 100≠9²
Which of the following represents the ratio given side to the hypotenuse? (PLEASE ANSWER IMMEDIATELY)
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Answer:
option C
Step-by-step explanation:
[tex]given \ side : hypotenuse \\\\3 : 3 \sqrt2\\\\1 : \sqrt2[/tex]
Solve 17 and 18 please.
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Answer:
Step-by-step explanation:
17.
sin20° = [tex]\frac{1}{x}[/tex]
x = 1 ÷ sin20°
x ≈ 2.9238
cos20° = [tex]\frac{x}{y}[/tex]
y = x ÷ cos20°
y ≈ 2.9238 ÷ cos20° ≈ 3.11
18.
x = 2√3 ≈ 3.46
y = √3 ≈ 1.732
I need help with this one
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Answer:
B
Step-by-step explanation:
if you look closely, you can see that the side of it goes up 2, then 2, then 1.
Answer:
The one on the right
Step-by-step explanation:
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.
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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
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!
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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]
7. A gym is offering a deal to members. Customers can sign up by paying a
registration fee of $100 and $28 per month. The function that models this
situation is c(m) = 28m + 100, where m is the number of months and c(m) is
the cost of becoming a member.
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Answer:
I dont know
Step-by-step explanation:
Aaron rented a boat at $180 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $375.
Part A: Write an equation in the standard form to represent the total rent (y) that Aaron has to pay for renting the boat for x days.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
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Answer:
a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and
Help are these correct ahahahahhh and explain pls
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worth 11 points and actually help me instead of taking the points plz
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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.
Find the mode from the dot plot. Quick pls
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Hey there!
“What is the mode?”
The mode in mathematical terms means “the REPEATED NUMBER in the data”
Going through all of the terms in the given data none of them seems to be repeated
Option A-C aren't the answers because NONE of those numbers repeated in the data plot
Option D. is the answer because there are no given data in the plot
Answer: Option D. “There is no mode”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the distance between point P and point R?
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Answer:
PR = 10
Step-by-step explanation:
PR = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates for P and R are (0,4) and (-6,-4) respectively.
So you plug in the values:
PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]
PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]
PR = [tex]\sqrt{36+64}[/tex]
PR = [tex]\sqrt{100}[/tex]
PR = 10
What percent does a lender generally look for when considering the debt-to-income (DTI) ratio of a loan applicant?
a. less than or equal to 36%
b. less than or equal to 42%
c. less than or equal to 50%
d. less than or equal to 72%
Please select the best answer from the choices provided
A. B. C. D.
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Answer:
A
Step-by-step explanation:
less than 36% seems fine
Answer:
A
Step-by-step explanation:
The area model represents the quotient of 108 ÷ 9. Which equation shown by the area model can be used to find the quotient?
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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:
If x varies inversely as y and x = 18 when y = 2.4, what is the value of x when y = -6 ?
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Answer:
Download Microsoft Math solver you will get you answer from there
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
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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.