Answer:
The answer is A.
Step-by-step explanation:
We need to find the least amount of paper needed to wrap the entire cylinder. Therefore, we simply need to find the surface area of the cylinder.
Recall the formula for the surface area of a cylinder:
[tex]SA=2\pi r^2+2\pi rh[/tex]
We know the diameter is eight inches, so the radius is four inches. We also know the height is 12. Using 3.14 for π, substitute:
[tex]SA=2(3.14)(4)^2+2(3.14)(4)(12)[/tex]
[tex]SA\approx 401.92\text{ in}^2[/tex]
Our answer is A.
Answer:
It's A
Step-by-step explanation:
I GOT IT RIGHT ON EDGE
A shopkeeper had some watches for sale. He sold a total of 342 watches
in January and February. In March he sold 25% of the remainder and was
left with 18% of the watches he had at first. How many watches did he
have at first?
Answer: 450 watches
Step-by-step explanation:
Given the following :
Let Initial number of watches = n
Total number sold in January and February = 342
Total sold in march = 25% of (n - 342) = 0.25(n - 342) = 0.25n - 85.5
Total watches left = 18% of n = 0.18n
Therefore,
Initial number of watches = (watches left + total watches sold)
n = 0.18n + (0.25n - 85.5) + 342
n = 0.18n + 0.25n - 85.5 + 342
n = 0.43n + 256.5
n - 0.43n = 256.5
0.57n = 256.5
n = 256.5 / 0.57
n = 450
n = Initial number of watches = 450
2. Solve the following equation for b. 6b + 2a - 4 = 2b +3a
Answer:
b=1/4a+1
Step-by-step explanation:
Step 1: Add -2b to both sides.
2a+6b−4+−2b=3a+2b+−2b
2a+4b−4=3a
Step 2: Add -2a to both sides.
2a+4b−4+−2a=3a+−2a
4b−4=a
Step 3: Add 4 to both sides.
4b−4+4=a+4
4b=a+4
Step 4: Divide both sides by 4.
4b/4 = a+4/4
b=1/4a+1
Please mark brainliest
Hope this helps.
Answer:
the answer is A
Step-by-step explanation:just took the test
.......................
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).
NEED HELP ASAP!!!! I will reward you as the most brainliest!
Step-by-step explanation:
v = 1/3πr²h
1/3×314/100×4×4×7
11,722.666round off
11722.67
formula =v= 3.14×radius×radius ×height ×3
Step-by-step explanation:
pie×radius×squared ×7×3
=117.29
when we round it to the nearest hundredth
its=117.29m squared
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
[tex](y-k)^2=4p(x-h)[/tex]
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to
[tex]-y^2=8x[/tex] and now we solve it for x:
[tex]-\frac{1}{8}y^2=x[/tex]
please hellp ......
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.
Answer:
The coordinate plane where the point is 1 unit to the left and 3.5 units down
Step-by-step explanation:
On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.
Answer:
D
Step-by-step explanation:
Edge 2020
노
+
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what is the circumference of a circle
with a radius of 14.7cm
C xd
7 car and so
22/7
3/7 x
Answer:
Circumference
(22÷7)×14.7×2 = 92.4cm
Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened?
A.) 195
B.) 260
C.) 325
D.) 130
The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t
can someone please help
Answer: 57°
Step-by-step explanation:
Bisecting makes angle ZXY=ZXW. So 58+58=116.
Then solve. 2x+2=116.
2x=114
x=57
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
Can i get a correct answer bc i already asked this on and didn't get the correct answer that was listed
Answer:267.9 in³? Dk if it's right or wrong, forgive me.
Answer:
V = 267.9 in.³
Step-by-step explanation:
Diameter reduced by half = 16/2 = 8 inches
Radius = 4 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4
=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]
=> V = 804.2/3
=> V = 267.9 in.³
11 POINTS !!GEOMETRY!! find the radius and area to the nearest hundredth given the circumference is 8.61. show work.
Step-by-step explanation:
C=2×pi×r
8.61=2pi*×r
8.61÷2pi=13.52 radius
A=pi×r^2
pi×13.52^2=574.25 area
Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ft, Upper DeltaValmost equals nothing ftcubed.
Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]
Where [tex]r[/tex] is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]
The derivative of the volume as a function of radius is:
[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]
Then, the change in volume is expanded:
[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]
If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:
[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]
[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)
Answer:
4(7+3)
Step-by-step explanation:
28 and 12 are both divisible by 4.
28 ÷ 4 = 7
12 ÷ 4 = 3
Answer:
4(7+3)
Step-by-step explanation:
4(7) = 28
4(3)= 12
28+12=28+12
Hope this helps!
Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?
Answer:
23
Step-by-step explanation:
87=x+(x+12)+(x-3)
87=3x+9
3x=78
x=26
This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.
Help me with this somebody.
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
What is an equation of the line that passes through the point
(−2,−2) and is parallel to the line
5x−y=4?
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
A sphere has a volume of V=2304 in^3. Find its surface area.
Answer:
The surface area of the sphere is:
[tex]Surface_{sphere}=843.6\,\, in^2[/tex]
Step-by-step explanation:
Recall the two following important formulas:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]
where R is the radius of the sphere.
Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:
[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]
Now, knowing the radius, we can estimate the surface of the sphere using the other formula;
[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]
Does anyone know what to do here?
Answer:
n=-5
Step-by-step explanation:
y^5*y^n= y^5+n when multiply , add exponents
y^5+n/y^2= y^(5+n)-2 divide, subtract exponents
y^(5-5-2) =y^-2
find the values of a and b such that x^2+2x+2=(x-a)^2+b
Answer:
a = -1
b = 1
Step-by-step explanation:
Step 1: Isolate x's
x² + 2x = -2
Step 2: Complete the Square
x² + 2x + 1 = -2 + 1
(x + 1)² = -1
Step 3: Move everything to 1 side
(x + 1)² + 1 = 0
And we have our answer.
Answer:
A=1 and b=1
Step-by-step explanation:
What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches
Answer:
2,451 inches.
Step-by-step explanation:
Formula for volume of a cylinder = V=πr2h
r = 13 inches
h = 30 inches
π=22/7 or 3.14
V = 3.14 × 13 × 2 × 30
= 2,451.43
Answer is 2,451.43
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
HELP MEEEEE PLEASEEEEE SOMEONE!!
Answer:
A
Step-by-step explanation:
the triangles share one angle and they have two equal sides
Answer this question
Answer: a.) (3x +1)(2x +3)
Step-by-step explanation:
The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x
Can someone help me plzzzzz
Answer:
C
Step-by-step explanation:
Please help i will mark brainliest
Answer:
y=-6x+1
Step-by-step explanation: