One circle has a circumference of 12pi cm. Another circle has circumference of 32pi cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?

A. 3:8
B. 8:3
C. 1:3
D. 3.1

Answer:

C

Step-by-step explanation:

Have a nice day

Problem 1

Answer:  It is possible to draw a triangle

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Explanation:

We use the triangle inequality theorem. Consider a triangle with sides a,b,c

A triangle is only possible if and only if the following three inequalities are all true

Basically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.

If a = 3, b = 4, and c = 5, then

All three conditions are met, therefore we have a triangle possible.

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Problem 2

Answer:  No, a triangle is not possible

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Explanation:

For this problem, and the next two problems, we'll use the triangle inequality theorem also.

Notice that a+b = 4+5 = 9 but this is not larger than c = 9

So the condition a+b > c is not true, and therefore we do not have a triangle possible.

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Problem 3

Answer:  No, a triangle is not possible

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Explanation:

Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.

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Problem 4

Answer:  It is possible to draw a triangle

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Explanation:

A triangle is possible here because

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Problem 5

Answer:   a, c, b

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Explanation:

Here are two rules we'll use here

This applies to triangles only.

From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.

Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.

Answer:

4. 52 ft^2

5. 25 ft^2

Step-by-step explanation:

15 -11 To get the width of scrapbooking which is = 4

4 * 13 = 52 ft^2

9 - 4 = 5 ft

5 * 5 = 25ft

Answer:

the only zero should be -1

Step-by-step explanation:

22.99 × 2 + 2.02 + 16 × 2 + 26= $106

Answer:

I don't understand pls explain

Answer:

A. 56.52 inches

Step-by-step explanation:

the Circumfernce = 2 x π x r

= 2×3.14×9

= 3.14×18

= 56.52 inches

Answer:

-6

Step-by-step explanation:

-5+7=2

2-2=0

0-the remaining 6 of the 8=-6

Answer:

Its B since the decimals are lower than the data.

equation: 39 - 12 = x

x = 27 (stamps)

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

Answer:

a positive number as 0 is a neutral.

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Therefore, 14 : 12 , 21 : 18 and 28 : 24

Answer:

B'(3, 5)

Step-by-step explanation:

Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,

(x, y) → (x - h, y + k)

If h = 4 and k = 3,

[tex](x, y)\rightarrow(x-4,y+3)[/tex]

Following this rule coordinates of the image point of B will be,

B(7, 2) → B'(7 - 4, 2 + 3)

           → B'(3, 5)

Therefore, coordinates of the image point B' will be,

B'(3, 5)

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.

Answer:

No solution is posible from the information provided

Step-by-step explanation:

Answer:

1. B

2. C

3. 8, 36

52 Step-by-step explanation:

Answer:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Step-by-step explanation:

Poorly formatted question (see attachment)

From the attachment, we have:

[tex]n = 135[/tex] --- the sample size

[tex]Samples = 20[/tex] --- The number of samples

[tex]\sum np = 87[/tex] --- Number of leaking tubes

First, we calculate the number of observations

[tex]\sum n = n * Samples[/tex]

[tex]\sum n= 135 * 20[/tex]

[tex]\sum n= 2700[/tex]

Using 3 sigma control limit, we have:

[tex]z = 3[/tex]

Calculate [tex]\bar p[/tex]

[tex]\bar p = \frac{\sum np}{\sum n}[/tex]

So, we have:

[tex]\bar p = \frac{87}{2700}[/tex]

[tex]\bar p = 0.0322[/tex]

Next, calculate the standard deviation

[tex]s_p = \sqrt{\frac{\bar p* (1-\bar p)}{n}}[/tex]

So, we have:

[tex]s_p = \sqrt{\frac{0.0322* (1-0.0322)}{135}}[/tex]

[tex]s_p = \sqrt{\frac{0.03116}{135}}[/tex]

[tex]s_p = \sqrt{0.0002308}[/tex]

[tex]s_p = 0.0152[/tex]

The control limits is then calculated as:

[tex]UCL = \bar p + z * s_p[/tex] --- upper control limit

[tex]LCL = \bar p - z * s_p[/tex] --- lower control limits

So, we have:

[tex]UCL = \bar p + z * s_p[/tex]

[tex]UCL = 0.0322 +3 * 0.0152[/tex]

[tex]UCL = 0.078[/tex]

[tex]LCL = \bar p - z * s_p[/tex]

[tex]LCL = 0.0322 - 3 * 0.0152[/tex]

[tex]LCL = -0.013[/tex]

Since the calculated LCL is less than 0, we simply set it to 0

[tex]LCL = 0[/tex]

So, the p chart control limits are:

[tex]UCL = 0.078[/tex]

[tex]LCL = 0[/tex]

Answer:

x = 2u -v

Step-by-step explanation:

X is the excess when we try to squeeze 2 u's on the side v,therefore

x = 2u -v

The value of x in terms of u and v is √(u²/2 + v²/2).

The parallelogram shown is a rhombus, so all four sides are congruent. This means that the sides labeled u and v are congruent. Since the opposite sides of a parallelogram are equal, the sides labeled u and v are also parallel.

The diagonals of a rhombus bisect each other at right angles. This means that the angles formed by the diagonals are 90°.

The diagonals of a rhombus also divide the rhombus into four congruent right triangles. This means that the triangles labeled 1, 2, 3, and 4 are all congruent.

We can use the Pythagorean theorem to find the length of x. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is x, so the square of the hypotenuse is x². The other two sides are u/2 and v/2. The square of each side is u²/4 and v²/4. Therefore, we can write the following equation:

x² = u²/4 + v²/4

Solve for x:

x² = u²/2 + v²/2

x = √(u²/2 + v²/2)

Therefore, x is equal to √(u²/2 + v²/2).

To learn more about value here:

https://brainly.com/question/28787935

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Answer:

Where are the graph(s)?

Step-by-step explanation:

Answer: Its A on eng for the graphs.

Step-by-step explanation:

Area of circle=796.5m²

Answer:

Solution given:

circumference of circle=100m

2πr=100m

r=100/(2π)

r=15.92m

now

area of circle=πr²=π×15.92²=796.5m²[approximately]

Answer:

A =796.1783439 m^2

Step-by-step explanation:

circumference  = 2 * pi *r

100 = 2 * pi *r

Divide by 2

50 = pi r

Divide by pi

50/pi = r

Using 3.14 for pi

50/3.14 = r

15.92356688=r

Now we can find the area

A = pi r^2

A = 3.14 ( 15.92356688)^2

A =796.1783439 m^2

Answer: [tex]\frac{11}{75}[/tex]

Step-by-step explanation:

R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a [tex]\frac{22}{150}[/tex] chance of getting a red jelly bean.

Simplified that is [tex]\frac{11}{75}[/tex]

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

[tex]x= \frac{3}{5}y[/tex]

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

Step-by-step explanation:

1.

[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]

[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]

Therefore,

[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]

2.

[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]

[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]

Use the identity

[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]

Solving for tan x:

[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

Answer:

To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for pi. Answer choices: 314.2 cm3

Step-by-step explanation:

Answer:

[tex]\frac{25\sqrt{3}}{2}[/tex]

Step-by-step explanation:

The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height of the triangle. In a right triangle, the two legs will represent the base and height, both interchangeable.

In a 30-60-90 triangle, the sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle. Since the hypotenuse of this triangle is given as 10, the leg opposite to the 30 degree angle is equal to [tex]10\div 2=5[/tex] and the leg adjacent to the 30 degree angle is equal to [tex]5\sqrt{3}[/tex].

Thus, the area of this triangle is equal to:

[tex]A=\frac{1}{2}\cdot 5\cdot 5\sqrt{3}=\boxed{\frac{25\sqrt{3}}{2}}[/tex]