Question 2
Select Cylinder from the list of shapes. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify
the shapes of different types of cross sections. Try to form as many different cross-sectional shapes as possible. As in Question 1, it may be helpful to
vary the angle of rotation of the plane gradually.
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cylinder.
Description of Cross Section
Description of Plane
plane parallel to the vertical axis
plane parallel to the circular base
plane making an angle with the vertical axis without passing though the base or top surface
plane making an angle with the vertical axis and passing through the base and top surface
plane making an angle with the vertical axis and passing through either the base or the top surface, but not both
Answer:
PLATO
Step-by-step explanation:
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Answer:
5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
10/24
he perimeter of parallelogram ABCD is 80 cm. AD is 7 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer:
AB = 11
BC = 29
DC = 11
AD = 29
Step-by-step explanation:
First, draw out and label the parallelogram ABCD. I've done so for you below:
Now, to figure out what to label the sides, refer to:
AD is 7 more than twice AB.
"Than" means that whatever we write, we flip it. For example, 7 more then 5 would be 5+7. Though this may not be important for addition, it is for subtraction. For example, 7 less than 5. This would be 5-7, but if you wrote it wrong, it would be 7-5.
"Is" is key word for "=". So:
AD = 7 more than twice AB.
"Twice" means "two times." So:
AD = 7 more than 2(AB).
AD = 2(AB) + 7
Let's label AB as x.
If the perimeter is 80, then that means AD+AB+BC+DC=80.
We know that in a parallelogram, opposite sides are congruent. So:
AD+AD+AB+AB=80
(2x+7) + (2x+7) + x + x = 80
2(2x+7) +2x = 80
4x + 14 + 2x = 80
6x + 14 = 80
6x = 66
x = 11
AB = 11
AD = 2x + 7
= 2(11) + 7
= 22 + 7
= 29
find the value of x
x=
9514 1404 393
Answer:
x = 65
Step-by-step explanation:
The sum of exterior angles of a polygon is 360°.
40 + x + 77 + 2x + 45 = 360
3x + 165 = 360 . . . . simplify
x + 55 = 120 . . . . . . divide by 3
x = 65 . . . . . . . . . . . subtract 55
Original price: $50; Markdown: 30%
Find the retail price
Answer:
hey
Step-by-step explanation:
pls pls plssss can you give me brainiest Plsss
which point is a solution to the system of equations below ?
y = 2x - 2
y = x + 2
A. (6, 4)
B. (1, 3)
C. (6, 1O)
D. (4, 6)
30-60-90 triangle..find the value of x?
Answer:
A. y = 9√3
Step-by-step explanation:
The relationship of the sides of the triangles are as follows:
First leg = x
Second leg = x√3
Hypotenuse = 2x
Since we know the first leg is 9, multiply that by √3.
Therefore, y = 9√3.
show that 36 is a perfect square ny drawing a square with the are of 36
Answer:
Draw a square with each side labeled 6.
If each side is 6 than the number has to be a square.
Find the 80th term of the following arithmetic sequence.
17, 26, 35, 44,
Answer:
728
Step-by-step explanation:
formula is
Tn= a+(n-1)d
where a is the first term, d is the common difference and n is the term you are looking for
T80 = 17+(80-1)*9T80= 17+ (79)*9T80= 17 + 711T80= 728Evaluate the expression.
2.15(3)2=
Answer:
12.9
Step-by-step explanation:
PLEASE HELP ON THE SECOND QUESTION!!!!!
Answer:
1 7/8 quarts.
9514 1404 393
Answer:
1 7/8 quarts
Step-by-step explanation:
As you already know, the amount of grape juice required is 1/2 the amount of sparkling water.
(1/2)(3 3/4) = (1/2)(15/4) = 15/8 = 1 7/8
1 7/8 quarts of grape juice are required.
Matthew invested $5,300 in an account paying an interest rate of 2.1% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $6,020?
Answer: it would be 6
Step-by-step explanation
Delta math
Based on the information for the value of the account to reach $6,020? given it will take 6 years.
Value of account:Let x represent the number of years
(2.1%×5,300)x+5,300=6,020
111.3x+5,300=6,020
Collect like terms
111.3x=6,020-5,300
111.3x=720
Divide both side by 111.3x
x=720/111.3
x=6 years
Inconclusion for the value of the account to reach $6,020? given it will take 6 years
Learn more about value of account here:https://brainly.com/question/24852229
x
A field is in the form of a rhombus having each side 81 m and altitude 25 m. What is the side of a square
field which has the same area as that of the rhombus?
Answer:
the side of a square is 45 m
Step-by-step explanation:
The computation of the side of the square field that contains the similar area as compared with rhombus is given below:
As we know that
Area of rhombus = Base × Altitude
= 81 × 25
= 2025
And, area of Square = Side × side
2025 = side^2
side = √2025
= 45m
Hence, the side of a square is 45 m
14 less than the quantity k times 6
(Write it as an algebraic expression)
Answer:
6k-14
Step-by-step explanation:
The algebraic expression for inequality is 14 < 6k.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the statement
14 less than the quantity k times 6
Now, k times 6 = 6k
and, 14 less than k times 6 can written into mathematical form as
14 < 6k
k > 14/6
k> 7/3.
Learn more about about Inequality here:
https://brainly.com/question/30231190
#SPJ2
On the first night of Rosh Hashanah, David cuts 5 apple into slices and gives 3/8 of an apple to each of his quests. He has 2 apples left over. How many guests does David have?
Answer:
Number of guests = 8
Step-by-step explanation:
Total apples David cut = 5
Total apples left over = 2
Total apples David gave his guest = Total apples David cut - Total apples left over
= 5 - 2
= 3
Total apples David gave his guest = 3
Each guest gets = 3/8 of an apple
Number of guests = Total apples David gave his guest ÷ share of each guest
Number of guests = 3 ÷ 3/8
= 3 × 8/3
= 8
Number of guests = 8
what is hcf of 5 and 0 ?
if you are correct then you're a genius
Answer: Factor of 0
For example, 5 × 0 = 0 so it is true that 0 ÷ 5 = 0. In this example, 5 and 0 are factors of 0. GCF(5,0) = 5 and more generally GCF(k,0) = k for any whole number k. However, GCF(0, 0) is undefined.
Step-by-step explanation:
Answer:
Find the LCM
The LCM of
0,5 is 5.
Greatest common divisor is the largest number which divides two given numbers say 'a' & 'b'
Now let's say a=0 and b= 5
We know that: anything × 0 =0
Therefore 0÷5=0
In other words 5 is a divisor of 0
and 5 is the largest number which divides 5...
Therefore 5 is the greatest common divisor of of 0 and 5Or gcd(5,0)=5
Common divisors of 0 and 5 = 1,5 [0=1*0 ; 5=1*5] and [0=5*0 ; 5=5*1]
Step-by-step explanation:
Hope it is helpful....
Help lots of help. Help help help
Answer:
4+ ( -6 ) = -2
can somebody please help me with this:)
Answer: 4=-2x -1 and y=-1 2x
Find 60% of twenty how do i do that
The answer is 12 because
60 x 20
----------- = 12
100
Help find x and y please
Answer:
Step-by-step explanation:
e has been found lol
What is the constant of variation in the equation 3y - 6x = 0
Answer:
2
Step-by-step explanation:
Select the expression that cannot be simplified.
A 7x − 4 + 8
B 4x2 − 7x + 8
C 8x2 − 7x2 + 8x
D 4x + 8x + 7
Answer for brainliest
Answer:
2, 18, 56.54
Step-by-step explanation:
hope this helped!
what is c+15=25 dont use a cacalator because it wont work.
Answer:
c=10
Step-by-step explanation:
25-15 would be 10 so therefore 10 is your answer.
Answer:
do 25 - 15
10
c = 10
Step-by-step explanation:
Which equation does not represent a function?
A y= 4
C y = x – 4
B y = x2 - 4
B
D x2 + y2 = 4
Answer:
D x2 + y2 = 4
Step-by-step explanation:
The following are the functions
y = 4
y = x - 4
y = x^2 - 4
but
x^2 + y^2 = 4 is not a function as there should be minimum one x value with two or more y values
But the above equation does not meet the criteria so this represent non-function
A pet store has 7 cats. here are their weights (in pounds)
6, 15, 12, 8, 15, 12, 12
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
To find a mean, you total all numbers, then divide by the quantity of numbers.
=(14+14+12+16+6+11+8)/7
=81/7
=11.571 = 11.6 lbs. rounded
Hope this helps! :)
Randy bought 30 marbles. 40% of them are blue. How many blue marbles are there
Answer:
12 Blue Marbles
Step-by-step explanation:
30 times 0.40 is 12.
Answer:14
Step-by-step explanation:if it was 50% it would've been 15
Write the equation for a parabola with a focus at (−4,8)(-4,8)(−4,8)left parenthesis, minus, 4, comma, 8, right parenthesis and a directrix at x=−6x=-6x=−6x, equals, minus, 6.
Given:
The focus of the parabola is at (-4,8).
The directrix is at x=-6.
To find:
The equation of the parabola.
Solution:
The directrix is at x=-6, which is a vertical line. So, the parabola is horizontal.
The equation of a horizontal parabola is
[tex](y-k)^2=4p(x-h)[/tex]
Where, (h,k) is vertex, (h+p,k) is focus and x=h-p.
The focus of the parabola is at (-4,8).
[tex](h+p,k)=(-4,8)[/tex]
[tex]h+p=-4[/tex] ...(i)
[tex]k=8[/tex]
The directrix is at x=-6.
[tex]h-p=-6[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2h=-10[/tex]
[tex]h=-5[/tex]
Putting h=-5 in (i), we get
[tex]-5+p=-4[/tex]
[tex]p=-4+5[/tex]
[tex]p=1[/tex]
Putting h=-5, k=8 and p=1 in the standard form of the parabola.
[tex](y-8)^2=4(1)(x-(-5))[/tex]
[tex](y-8)^2=4(x+5)[/tex]
Therefore, the required equation of the parabola is [tex](y-8)^2=4(x+5)[/tex].
Answer:
x=[tex]\frac{(y-8)^{2}-20 }4}[/tex]
Step-by-step explanation:
Khan Academy:
3х - 2y = 12
x + y = 4
5. John wants to make a scale drawing of a Dodge Viper. The length of the car is
approximately 9.5 feet. If he used a scale of 1 inch = 2 feet then what would the
length of the car be in the drawing?
Answer:
2.375 inches
Step-by-step explanation:
for every 2 feet, that is equivalent to 0.5 inches in the drawing. so count how many 2 feet in 9.5 feet first. there are 4.75.
mutiply 4.75 now by 0.5
that is 2.375 in inches