Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
( i )
given - a cylinder with base diameter = 10 cm ! And , height = 12 cmTo find - CSA of conenow ,
since diameter = 10 cm
[tex]\implies \: radius = \frac{10}{2} = 5 \: cm \\ [/tex]
now ,
[tex]slant \: height \: ( \: l \: ) = \sqrt{h {}^{2} + r { }^{2} } \\ \\ \implies \: \sqrt{(12) {}^{2} + (5) {}^{2} } \\ \\ \implies \: \sqrt{144 + 25} \\ \\ \implies \: \sqrt{169} \\ \\ \implies \: 13 \: cm[/tex]
now ,
[tex]CSA \: of \: cone = \pi \: \times r \times l \\ \\ \implies \: \pi \: \times 5 \times 13 \\ \\ \implies \: 65\pi \: cm {}^{2} [/tex]
_____________________________
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( ii )
now when we flatten the cone ,
the slant height becomes the radius of the sector , while the arc becomes the circumference of cone !
[tex]\therefore \: radius = l = 13 \: cm \\ \\ arc \: length = circumference = 2\pi \: r[/tex]
now ,
[tex]s = d \: \theta \: ( \: for \: a \: sector \: ) \\ \\ \therefore \: l\theta \: = 2\pi \: r \\ \\ \implies \: \theta = \frac{2\pi \: r}{l} \\ \\ \implies \: \theta = \frac{2 \times \pi \times 5}{13} \\ \\ \implies \: \theta \: = \frac{10\pi}{13} \\ \\ \implies \theta \: = \: 0.77 \pi [/tex]
hope helpful :D
Step-by-step explanation:
i)
remember, the radius is half the diameter !
the overall surface area of a cone (base circle + "mantle", the lateral, curved surface) is
A = pi×r × (r + sqrt(h² + r²))
so, only the "mantle" or lateral curved stave area is
pi×r × sqrt(h² + r²) = pi×5 × sqrt(12² + 5²) = pi×5×sqrt(169) =
= pi×5×13 = 65×pi cm²
ii)
the length of the arc of the sector is the circumference of the circle, that was the base of the original cone.
that is
2×pi×r = 2×pi×5 = 10×pi cm
the total circumference of the large circle containing that sector is
2×pi×r' = 2×pi×sqrt(h² + r²)
as the radius r' of the circle containing the sector (representing the "mantle" of the cone) is the lateral height of the cone (the distance along its side from the base to the top). and that is per Pythagoras simply the square root of the sum of the square of the inner height and the square of the base radius.
in our case that is
2×pi×sqrt(12² + 5²) = 2×pi×13 = 26×pi cm
the angle of the sector is then 10/26 of the total of 360° for the whole circle :
360 × 10/26 = 138.4615385...°
or, if you need this in terms of pi too, remember that 360° are represented by 2×pi (the arc length of the standard circle).
2×pi × 10/26 = pi × 20/26 = pi × 10/13 =
= 0.769230769... × pi
A lily pad is growing on a lake and it grows 2 times bigger a day. On the 20th day it was covering the whole lake. On what day was it covering one eight of the lake?
Sabine rode on a passenger train for 480 miles between 10:30 A.M. and 6:30 P.M. to visit
a friend in a different city.
Part A
Calculate the train's average speed while Sabine was riding.
Answer
miles per hour
Answer:
60
Step-by-step explanation:
630 minus 1030 is 8 hours
480 divided by 8 is 60
4 Write a recursive formula for the sequence below.
f(1) = 3, f(2) = 7, f(3)=11, f(4)=15
Answer:
aₙ = aₙ₋₁ + 4
Step-by-step explanation:
Finding the common difference (d) :
d = f(2) - f(1)d = 7 - 3d = 4Hence, the recursive formula :
aₙ = aₙ₋₁ + 4What is the missing angle? (Please use image attached)
Answer:
56
Step-by-step explanation:
Since vertical angles are equal, we know the two angles labeled are equal.
We can then set up an equation to get
[tex]19x-28=9x+52.[/tex]
Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us
[tex]10x-28=52[/tex].
Then, adding [tex]28[/tex] to both sides gives
[tex]10x=80,[/tex]
and dividing both sides by 10 gives
[tex]x=8.[/tex]
Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:
[tex]9(x)+52=9(8)+52=72+52=124.[/tex]
Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have
[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]
Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
What is the most prescise classification of this shape?
Answer:
the answer for this question isnparallelogram
Answer:
Parallelogram
Step-by-step explanation:
Draw the following triangle after a translation 3 units to the right and 3 units up
The translation 3 units to the right and 3 units up is attached below.
What is translation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A translation is a transformation that moves every point in a figure the same distance in the same direction.
For example, this transformation moves the parallelogram to the
right 5 units and up 3 units.
It is written ( x , y ) → ( x + 5 , y + 3 ) .
Learn more about this concept here:
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Can somebody please help
Answer:
It is the third one.
Step-by-step explanation:
h=V/πr² because when you transpose for h, you will be dividing both sides by πr², leaving you with h on one side, and V/πr² on the other. I don't know if this is detailed enough.
If it takes 2/3 hours to paint 2/5 room how many hours does it take to paint one room
Step-by-step explanation:
2/3 hours for 2/5 room.
that means
5×2/3 = 10/3 hours for 5×2/5 = 2 rooms
and then 1 room in 10/3 / 2 = 5/3 hours
multiply 4x³V4x²(2³V32x²-x³V2x)
Answer:
32x^(7)V^(36)-4x^(9)V^(6)
Step-by-step explanation:
x^8+x^4+1−(24)(7)−45 simplify
[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
to find:the simplest form.
solution:[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]
[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]
[tex] = {x}^{8} + {x}^{4} - 212[/tex]
Find the value of
484 ÷ 44 × 6 × 4 = ___
Answer:
the anwser is 264
Step-by-step explanation:
484 divieded by 44 = 11
11 times 6 = 66
66 times 4 = 264
Answer:
The answer is 264 pls mark me brainliest
Step-by-step explanation:
Find the surface area of a cylinder with a height of 7 yd and a base diameter of 10 yd.
Use the value 3.14 for , and do not do any rounding.
Be sure
to include the correct unit.
7-yd
10 yd
if it has a base diameter of 10, that means its base radius is half that, or 5.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(7+5) \\\\\\ SA=10\pi (12)\implies SA=120\pi \\\\\\ \stackrel{using~\pi =3.14}{SA=376.8~yd^2} \end{array}[/tex]
I Need help Really bad
Answer:
7776π in³
Step-by-step explanation:
You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.
__
radiusThe area of the sphere is given by the formula ...
A = 4πr²
Solving for r, we find ...
A/(4π) = r²
√(A/(4π)) = r = √(1296π/(4π)) = √324 = 18
The radius of the sphere is 18 inches.
__
volumeThe volume formula is ...
V = 4/3πr³
Using the found radius, we find the volume to be ...
V = 4/3π(18 in)³ = 4/3(5832)π in³
V = 7776π in³
Jada recorded the heights of the plants she's growing in her garden. This line plot shows what she recorded.
How much taller is one of the tallest plants than one of the shortest plants?
The tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
What is graphical analysis?The finding of the conclusion by reading the data on the graph is termed as the graphical analysis.
Given:
The line plot below shows the heights of flowers in a garden.
To Find:
How much taller is the tallest flower than the shortest flower?
The solution will be:
Knowing that each dot represents it's heights.
Let's makes a table:
[tex]6 \dfrac{1}{2} =OO[/tex]
[tex]6 \dfrac{3}{4} = O[/tex]
7 ⇒ ОООО
[tex]7 \dfrac{1}{4} == > OOOOOO[/tex]
[tex]7 \dfrac{1}{2} = OOOO[/tex]
[tex]7 \dfrac{3}{4} = OO[/tex]
8 ⇒ none
[tex]8 \dfrac{ 1}{4} = O[/tex]
[tex]8 \dfrac{1}{2}[/tex] ⇒ none
It's also given that the tallest flower and the shortest flower.
Which is:
Smallest → [tex]6 \dfrac{1}{2}[/tex]
Tallest → [tex]8 \dfrac{1}{4}[/tex]
Now all we have to do is subtract tallest flower from the shortest flower.
[tex]8 \dfrac{ 1}{4} - 6\dfrac{ 1}{2}[/tex]
Break off 1 from 8 : 8 1/4 = 7 5/4
Now we have:
[tex]7 \dfrac{5}{4} - 6\dfrac{ 1}{2}[/tex]
Subtract whole number: 7 - 6 = 1
Combine fraction:
[tex]\dfrac{5}{4} - \dfrac{1}{2} = \dfrac{3}{4}[/tex]
[tex]=1 + \dfrac{3}{4}[/tex]
Hence the tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
To know more about Graphical analysis follow
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use the diagram below to solve for x
Answer:
see the attachment!
#CarryOnLearning
witch value from the set {3,8,9,14} makes the euation true 2n-5=
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
2n - 5 = 11
When n = 3:
2(3) - 5 = 1 ≠ 11
When n = 8:
2(8) - 5 = 11
When n = 9:
2(9) - 5 = 13
When n = 14:
2(14) - 5 = 23
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
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rek is attending a four-year college. His tuition for one year derek is attending a four year college.his tuition for one year is $12,400 and his family is going to contribute $4,120.
w much does Derek need to save each month his junior and senior year of high school (two full years) to pay for the first year at
four-year college?
A. $516.67
B. $345.00
C. $172.50
D. $258.34
Jasmine deposited $700 in an account earning 9% interest compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
$763
Step-by-step explanation:
Answer:
Jasmine will have 763 dollars in one year
Step-by-step explanation:
Happy to help :D
Please help!!!!!
Suppose you toss 10 coins randomly at the board below and that all coins stay on the board. Find the probability as a fraction of landing in the shaded region.
A. 1/9
B. 8/9
C. 2/3
Answer: B
Step-by-step explanation:
The area of the larger square is 9^2 = 81, and the area of the smaller square is 3^2 = 9. This means the area of the shaded region is 81-9=72. Hence, the desired probability is 72/81 = 8/9.
i need the answer to this question please
Answer:
B and C
Step-by-step explanation:
Hope it helps
which set of sides would make a right angle ?
Answer:
It's A 5 12 & 13 make a right angle
HELP ME PLS!!!!!!!!!!!!!!!! I NEED HELP ASAP CUZ I NEED TO GO SOMEWHERE!
Answer:
D 2,5
Step-by-step explanation:
have a good day and don't copy me
6.) A voicemail system password is 1 letter
followed by a 3-digit number less than 600.
How many different voicemail passwords are
possible?
Answer:
15600
Step-by-step explanation:
26 x 6 x 10 x 10 = 15600
There are 15600 different possible choices of voicemail passwords.
What is a permutation?A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
According to the fundamental counting principle, there are 26 choices of letters and 600 different digits of numbers,
So, the Count of possibilities as
⇒ 26 x 600
⇒ 15600
Hence, there are 15600 different possible choices of voicemail passwords.
convert R1200 to japanese yen
Answer:
32618.30
Step-by-step explanation:
R represents Brazilian real, therefore, right now 1 real equals 27.18 yen
therefore multiply...
giving you roughly 32,618.30 yen per R1,200
(in fact, as i type this it changes)
hope this helps:)
A good’s demand is given by: p = 479 – 2q. At p = 80, the point price elasticity is:
If the value of the p is 80 and the equation is p = 479 – 2q. Then the price point of the elasticity is 199.5.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A good’s demand is given below.
p = 479 – 2q
At p = 80, the point price elasticity will be
80 = 479 – 2q
2q = 479 – 80
2q = 399
q = 199.5
More about the linear system link is given below.
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y²+y-20 can sb answer this
Answer:
STEP ONE.
Use the sum-product solution.
y² + y - 20
y² + 5y - 4y - 20
STEP TWO.
Common factors from the pairs.
y² + 5y - 4y - 20
y (y + 5) - 4 (y + 5)
STEP THREE.
Rewrite in factored form.
y (y + 5) - 4 (y + 5)
(y - 4) (y + 5)
SOLUTION
(y - 4) (y + 5)
Step-by-step explanation:
hope this helped !! good luck and make sure to always stay safe and happy !
you got this !!
Millie makes a placemat with a triangular pattern. Each triangle has a base of 5 inches and a height of 4 inches. Millie sews together a total of 42 triangles.
Each triangle has an area of
inches2
The total area of the placemat is
inches2
Answer:
10 inches²
420 inches²
Step-by-step explanation:
1) Area of a triangular placemat:
= ½ × base × height
= ½ × 5 × 4
= 10 inches²
2) Total area of the placemat:
= Area of a placemat × Number of triangles
= 10 × 42
= 420 inches²
the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.
Answer:
x = 348
Step-by-step explanation:
From the given we can tell it a supplementary angle.
Don't know what supplementary angle is?
Supplementary angle are angles that :
Equal 180 °
Solve:
Since,
∠ABD is (0.18x+54)°
∠CBD is (0.07x+39)°
Thus,
(0.18x+54) + 0.07x + 39 = 180
Group likes terms:
0.25x + 54 + 39 = 180
0.25 + 93 = 180
Subtract 93 from both sides
0.25x = 87
x = 348
Check Answer:
0.18(348) + 54 + 0.07(348) + 39
= 180
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.
Part A
How would you represent Andy’s descent as a unit rate? Express your answer as an integer
Part B
If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?
