One circle has a circumference of 12π cm. Another circle has a circumference of 32π cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?
Options:
A: 3:8
B: 8:3
C: 1:3
D: 3:1

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

Answer:

Not sure what you are asking.

Domain is all x values .

It can be stated in coordinates (x,y). X is the input. Y is output

It can be stated in Domain Notations such as {x | x ≥ 0}

Answer:

validation

Step-by-step explanation:

A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.

This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.

A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.

Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.

During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

Answer:

2 * $87 - $12 = R

Step-by-step explanation:

Let R represent the cost of Vanessa's rent.

Vanessa spent $87.00 on entertainment for the week.

Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become

R = 2(87) - 12

R =

R = 174 - 12

The correct option is

2 * $87 - $12 = R

Answer:

13/11

Step-by-step explanation:

| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.

To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.

If x = 0.18 recurring

  100x = 18.18 recurring

  99x = 18

  x = 18/99

     = 2/11

Now, we add on the 1.0 (11/11) to get 13/11

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

Answer:

[tex](x + 6) - 7 = 8[/tex]

[tex]x + 6 - 7 = 8[/tex]

[tex]x - 1 = 8[/tex]

[tex]x = 8 + 1[/tex]

[tex]x = 9[/tex]

Your answer is 2.98004491789381.

Given:

The expression is:

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

To find:

The decimal value of n so that the value of the given expression is equal to x.

Solution:

We have,

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

This expression is equal to x.

[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]

[tex]x^{\frac{2}{5}n}=x^1[/tex]                     [tex][\because (a^m)^n=a^{mn}][/tex]

On comparing the exponents, we get

[tex]\dfrac{2}{5}n=1[/tex]

[tex]2n=5[/tex]

[tex]n=\dfrac{5}{2}[/tex]

[tex]n=2.5[/tex]

Therefore, the required value of n is 2.5.

Answer:

Step-by-step explanation:

Given:

Solving for x:

Answer:

128 on edg

Step-by-step explanation:

i thought it was 2 aswell double checked it on a graphing calculator its 128

There can be infinitely many pair of integers that have the difference -12.

Examples:

1. (12),(24)

{12-24}

2. (24), (36)

{24-36}

3. (0),(12)

{0-12}

Answer:

a = 17

c = 9

Step-by-step explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c   (solve for 'a'. Then you can substitute)  

a = 32 - [tex]\frac{5}{3}[/tex] c

2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61     (Substitute)

64 - [tex]\frac{10}{3}[/tex]c + 3c = 61        ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])

-[tex]\frac{1}{3}[/tex] c= -3  

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17

Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 [tex]cm^{3}[/tex]

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and [tex]\frac{1}{3}[/tex]   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]

Answer:

[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

Answer:

2.32*10^-10

Step-by-step explanation:

n will change its position with 32

(1/2)^32=n

n=2.32*10^-10

Answer:

x = 2.1

Step-by-step explanation:

We have:

[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]

=> sin38 × x = sin90 × 1.3

=> x = 1.3 ÷ sin38

=> x = 2.11155001... = 2.1

<3 Have a nice day!!

The value of x for the given triangle will be, x = 2.1.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.

The value of x will be calculated as,

x / sin(90) = 1.3/ sin(38)

sin38 × x = sin90 × 1.3

x = 1.3 ÷ sin38

x = 2.11155001...

x = 2.1

The value of x will bed x =2.1.

To know more about trigonometry follow
https://brainly.com/question/26936516

#SPJ7

Answer:

Step-by-step explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4                   Substitute for A in the top equation

B - 16.4 + B = 180         Combine the left

2B - 16.4 = 180             Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4                    Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8

Answer:

sinΘ = √5/3

Step-by-step explanation:

Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse

The sine of an angle is the ratio of the opposite to the hypotenuse

So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3

From the Pythagoras’ theorem, we can get the opposite

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the opposite as x

3^2 = 2^2 + x^2

9 = 4 + x^2

x^2 = 9-4

x^2 = 5

x = √5

This root can be positive or negative

But since the sine is positive, we shall be considering only the positive root

Thus;

sine theta = √5/3

Answer:

b). Examine relationships between two categorical variables

Step-by-step explanation:

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

Answer:

72 cm²

Step-by-step explanation:

Area = 9(8) = 72

..............

Answer:

option D

Step-by-step explanation:

[tex]-9( y+ 1) + 5y\\\\= -9y - 9 + 5y \\\\= -4y - 9[/tex]