what is the lcm 10,8,4​

Answer:

D. 45 unit

Step-by-step explanation:

parallelogram:

the area of the parallelogram is 45 units(D.)

The volume of the cylinder from the rectangle is the size of the cylinder

The rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

Let the dimension of the rectangle be x and y.

So, the perimeter (P) is:

[tex]P = 2 * (x + y)[/tex]

The perimeter is given as 18.

So, we have:

[tex]2 * (x + y) = 18[/tex]

Divide both sides by 2

[tex]x + y = 9[/tex]

Make y the subject

[tex]y = 9 - x[/tex]

The volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]V = \pi x^2(9 -x)[/tex]

Expand

[tex]V = \pi(9x^2 -x^3)[/tex]

Differentiate

[tex]V' = \pi(18x -3x^2)[/tex]

Set to 0

[tex]\pi(18x -3x^2) = 0[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]18x -3x^2 = 0[/tex]

Divide both sides by 3x

[tex]6 -x = 0[/tex]

Make x the subject

[tex]x = 6[/tex]

Recall that:

[tex]y = 9 - x[/tex]

So, we have:

[tex]y = 9 - 6[/tex]

[tex]y = 3[/tex]

Hence, the rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

Read more about volumes at:

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Answer:

4.37

Step-by-step explanation:

23.8+ 4.37= 28.17

Answer:

Step-by-step explanation:

Answer:

$52.50

Step-by-step explanation:

Multiply $50 by 0.03 to find the tax = 1.5

Multiply $50 by 0.02 to find tip = 1

add $50 to 1.5 and 1 to get $52.50

[tex] \frac{1}{4}[/tex] is the answer.

(I have included the answer as picture.)

[tex]\rm{Have \: a \: great \: day! \: :)}[/tex]

Answer:

part A:60

Step-by-step explanation:

25% of 20 is 5 now we know 40% of 60 which is 24 add 5+24=29 .hope this is helpful

Answer:

3x + 4y

Step-by-step explanation:

You need to explain more. If you are asking for an equation, x represents the cost of each notebook and y represents the cost of each pack of markers. Also, you did not mention how much each pack of of marker costed, so I used y to substitute that amount. If you do know how much a pack of markers costs, multiply that number by 4 and your new equation will be 3x + (whatever the product is).

Answer:

110/250

Step-by-step explanation:

If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.

Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.

To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.

Total amount to be raised = $250,000

Amount already raised = $110,000

Percentage of funds raised = (110,000/250,000) × 100 = 44 %

Fraction of funds raised = (110,000/250,000) = (11/25)

Fraction of funds raised in decimal form = 0.44

Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44

To learn more on Percentage, click:

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#SPJ2

(The question is incomplete, the complete question is given below.)

The compound inequality that Contessa is solving is |8 - 3q| ≤ 7

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Given the inequality:

-7 ≤ 8 - 3q ≤ 7

8 - 3q ≤ 7 and; 8 - 3q ≥ -7

8 - 3q ≤ 7 and; -(8 - 3q) ≤ 7

|8 - 3q| ≤ 7

The compound inequality that Contessa is solving is |8 - 3q| ≤ 7

Find out more on inequality at: https://brainly.com/question/24372553

Answer

IT's C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallel, if you think about it infinitely, the lines will go on forever, they will never touch each other, if so that means its parallel

Answer: I believe that, at that specific rate, it will take Suzanne 100 hours to drive 4,000 miles.

Answer:

80m^3

Step-by-step explanation:

Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3

Answer:

  4) a > b·sin(A) -- triangle exists

  5) a > b·sin(A) -- triangle exists

Step-by-step explanation:

The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...

  sin(B)/b = sin(A)/a

  sin(B) = b·sin(A)/a

In order for the triangle to exist, we must have ...

  1 ≥ sin(B)

  1 ≥ b·sin(A)/a

  a ≥ b·sin(A) . . . . . . . always true if a > b

__

  a ? b·sin(A)

  17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists

__

  a ? b·sin(A)

  24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists

_____

Additional comment

In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.

The only rational numbers that will give a right angle for B are ...

  a=1, b=2, A=30° . . . . . and any multiples of these side lengths

Answer:

The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.

The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.

-2 times 3x is -6x  and  -2 times -4 is positive 8

Step-by-step explanation:

y = 3x - 4

3x - 2y = 13

------------------------

3x - 2(3x - 4) = 13

3x - 6x + 8 = 13

-3x + 8 = 13

-3x = 5

x = -5/3

y = 3(-5/3) - 4

y = -5 - 4

y = -9

Solution: x = -5/3 and y = -9

( 10 / 13 ) * 125 = original price

( 10 / 13 ) * 125 = 96.15

Answer:

B. because 3/2 is equal to 1.5 or 1 and a half and because of the negative on -2/3 it is a downward facing slope that has the ratio of down 2 over 3 for the slope.

Step-by-step explanation:

Answer:

If you are asking the shape it's rectangle if you are asking 5x5 = 25 1x1 = 1

Step-by-step explanation:

In the figure,

145° and 3x - 5 are vertically opposite angles which are equal, so

=> 3x - 5 = 145°

=> 3x = 145 + 5

=> 3x = 150°

=> x = 150°/3

=> x = 50°

Answer:

x = 50

explanation:

vertically opposite angles are of equal measure.

solve:

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

Answer:

6 Emails

Step-by-step explanation:

If you take 15% of 40, or 0.15*40, you will get 6

So if she must respond to 15 percent of the total emails, you can use this equation to figure out how many emails she must respond to.

Answer:

GF where G is at (6,5) and F is at (10,2)

Step-by-step Explanation:

Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.

This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).

For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.

For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.

I hope this helps!

Applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

Tangent ratio, TOA, is expressed as, tan ∅ = opposite/adjacent.

The situation has been sketched in the diagram atatched below, where:

Apply the tangent ratio:

tan 5 = 132/BC

BC = 132/tan 5

BC = 1,508.8 ft.

Therefore, applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

Learn more about the tangent ratio on:

https://brainly.com/question/14169279

Answer:

Second Option

Step-by-step explanation:

The ratio of a 30-60-90 triangle is

a: a times root of 3: 2a.

Since the side opposite of 60 degree angle

[tex] \frac{3 \sqrt{3} }{2} [/tex]

The smallest angle is divided that of root 3.

[tex] \frac{3 \sqrt{3} }{2} \times \frac{1}{ \sqrt{3} } = \frac{3}{2} [/tex]

That side is b. Side A is twice of Side B. Which is

3.

Answer:

I do believe the answer is the second one

Hey there!

13 + 18 - (4 * 6)
= 31 - 4 * 6

= 31 - 24

= 7

Thus, the answer MIGHT be: 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

false

Step-by-step explanation:

to get the area of a rectangle u need to multiple length and width.

Answer:

false

Step-by-step explanation:

the given expression describes the perimeter.

the area is

length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)

Answer:

Formula for area of triangle:

A = bh x 1/2

1) height is 8, and base is 8, so:

8(8) x 1/2 = 32 yd

2) height is 5, base is 6, so:

6(5) x 1/2 = 15 ft

3) height is 8, base is 10, so:
10(8) x 1/2 = 40 in

Answer:

  Patty, Karla, Cathy

Step-by-step explanation:

The scoring percentage of goals attempted can be computed by dividing goals made by those attempted, then multiplying the result by 100%.

__

Cathy's rate is ...

  27/54 × 100% = 50%

Karla's rate is ...

  18/45 × 100% = 40%

Patty's rate is ...

  given as 34%

__

By least to greatest scoring rate, the athletes are ...

  Patty (34%), Karla (40%), Cathy (50%)

Answer:

$50400

Step-by-step explanation:

2/5 of 240000 is 96000.

So the remaining money is 240,000-96000, which is 144000.

If 13/20 is used in the first ten days, that leaves 7/20 to be used in the next 10 days.

7/20 of 144000 is 50400.

There's the answer!