One number is six more than twice a second number. If their sum is 120, find the smaller number

Answer:

The circumference of a circle with radius 48 is 301.6(*)

Step-by-step explanation:

Formulas:

Step-by-step Solution:

(*) 301.6 cm exactly or limited to de precision of this calculator (13 decimal places).

Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

A circumference of 301.6 centimeters is equal to:

Answer:

301.6

Step-by-step explanation:

circumference = πD

Diameter = r x 2

diameter = 48 x 2 = 96

96 x π = 301.592895

301.6 to 1dp

If you need further help, let me know!

- profparis

Answer:

4.37

Step-by-step explanation:

23.8+ 4.37= 28.17

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

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.

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:

D. 45 unit

Step-by-step explanation:

parallelogram:

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

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

(I have included the answer as picture.)

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

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:

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

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:

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)

The range of the possible values for X will be;

⇒ X < 5

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle QRS are;

⇒ QR=10X - 6,

⇒ RS = 6X - 15,

⇒ QS = X + 24,

Now,

We know that;

The sum of two sides of a triangle is always greater than the third side.

So, We can formulate;

⇒ 10X - 6 < (6X - 15) + (X + 24)

⇒ 10X - 6 < 7X + 9

⇒ 10X - 7X < 9 + 6

⇒ 3X < 15

⇒ X < 5

Thus, The range of the possible values for X will be;

⇒ X < 5

Learn more about the triangle visit:

https://brainly.com/question/1058720

#SPJ2

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

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:

https://brainly.com/question/10171109

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!

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:

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:

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:

$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

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:

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

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:

$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!

( 10 / 13 ) * 125 = original price

( 10 / 13 ) * 125 = 96.15

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:

brainly.com/question/626448

#SPJ2

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

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