Find the 58" term of the following arithmetic sequence.
7, 15, 23, 31, …

The unfilled volume inside the cylinder is 640π cubic units

Volume of a cylinder = πr²h

= π × 8² × 15

= π × 64 × 15

= 960π cubic unit

Volume of a cone = 1/3πr²√l² × r²

= 1/3 × π × 8² √17² × 8²

= 1/3 × π × 64 √289 × 64

= 1/3 × π × 64 √353

= 320π cubic unit

Unfilled volume = 960π cubic unit - 320π cubic unit

= 640 cubic unit

The complete question:

A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

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Answer:

640pi

Step-by-step explanation:

Answer:

12/28

Step-by-step explanation:

the answer is 12/28 because 12 are men and the rest are mos likely girls,

Answer:

12 / 28

Step-by-step explanation:

Given:

- 28 students total

- 12 are men

so 12 out of the 28 are men which is the same as 12 / 28

Answer:1200

Step-by-step explanation:i might be wrong pls dont hurt me

The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.

As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.

If the scale factor is between 0 and 1 the image is a reduction.

Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.

Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

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A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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Answer:

Number 1 could be -x.

I don't know the answer to number 2.

Number 3 is the same as 1.

Step-by-step explanation:

sorry. i probably would know the answer if i remembered.

Answer: 11 pounds

Step-by-step explanation:

Total weight of the first 8 backpacks

8*14

= 112 pounds

Total weight of the second 12 backpacks

12*9

= 108 pounds

Total weight of the whole 20 backpacks

112+108

= 220 pounds

therefore the mean weight of the 20 backpacks is

220 / 20

= 11 pounds

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

Answer:

57 miles.

Step-by-step explanation:

to find

⇒ total number of miles dana ran

given

⇒ monday = 10.2 miles

⇒ tuesday = 11.4 miles

⇒ wednesday and thursday =  11.8 miles

⇒ friday = 12.3 miles

∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3

⇒ 57.5

⇒ 57 miles

Answer:

[tex]x=\frac{\pi }{4}[/tex]

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

[tex]x=\frac{\pi }{2}[/tex]

but we want to sin(2x) = 1/2 so we make it.

[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

Answer:

B

Step-by-step explanation:

because 30% out of 30 is 9

Answer:

you should take the time and study

Step-by-step explanation:

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

Answer:

r = 1.6

Step-by-step explanation:

given r varies directly with m² and inversely as n then the equation relating them is

r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation

to find k use the condition r = 18 when m = 6 and n = 4 , then

18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

72 = 36k ( divide both sides by 36 )

2 = k

r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation

when m = 2 and n = 5 , then

r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6

Answer:

2/3 x 9=99+25x7(78)gxw/98

Step-by-step explanation:

There are 13 full cases and 2 additional items needed to fulfill the order

The given parameters are:

The number of cases is:

Case = 80/6

Evaluate

Case = 13 Remainder 2

This means that:

The full case is 13 and the additional item is 2

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Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

Answer:

6x - 5 = 8x + 2

or -5-2 = 8x-6x

or -7 = 2x

or -7 / 2 = x

this is correct answer because in fraction form if one number is negative whole fraction is negative

Hey there!

IF YOUR EQUATION IS:

6x - 5 = 8x + 2
THEN:

SUBTRACT 8x to BOTH SIDES

6x - 5 - 8x = 8x + 2 - 8x

SIMPLIFY IT!

-2x - 5 = 2

ADD 5 to BOTH SIDES

-2x - 5 + 5 = 2 + 5

SIMPLIFY IT!
-2x = 2 + 5

-2x = 7

DIVIDE -2 to BOTH SIDES

-2x/-2 = 7/-2

SIMPLIFY IT!
x = -7/2

The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Midpoint(10,5)

Step-by-step explanation:

 To find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2

            [tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]

                               [tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]

Answer:

It might be 235.62

Step-by-step explanation:

Answer:

[tex]235.6\ cm^3[/tex]

Step-by-step explanation:

Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]

Answer:

[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer:

432326

Step-by-step explanation:

i just times them together

Answer:

that should be 432,326

Step-by-step explanation:

I do not rly know how to the calculator on this app properly yet but I will try my best to explain it

×6973

62

3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13

and you get this first

13946

and you also multiply your 6 by all the numbers above giving you

41838

so you arrange it like this and get

13946

41838

and you add it together giving you

432,326.

and the third picture should be your answer.

Answer:

Step-by-step explanation:

8ab = 4a × (2b)

12a² = 4a × (3a)

Then

LCM(8ab , 12a²) = 4a × (2b) × (3a)

                          = (4×2×3) × (a×a×b)

                          = (24) × (a²×b)

                          = 24a²b