?
Point C (2, 2) is the center of the circle. What is the ratio of the
length of AC to the length of DC ?
1:2

2:1
1:1

3:1

Answer:

[tex]12^{\circ}[/tex]  [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

[tex]= \frac{360}{30}[/tex]

[tex]= 12^{\circ}[/tex]

The arc length is

[tex]= \frac{12}{360}(30)[/tex]

= 1 feet

And, the area of a sector between two cars is

[tex]= \frac{12}{360}(\pi (30)^2)[/tex]

= [tex]94.28\ ft^2[/tex]

We simply do the above calculations so that each item could be find out

Answer:

1. x ≥ 0

2. x ≥ -2

3. x ≥ 2

4. x ≤ 2

5. x ≤ 0

6. All real numbers

Step-by-step explanation:

Domain of square function:

Suppose we have a square function in the following format:

[tex]f(x) = \sqrt[n]{g(x)}[/tex]

If n is even, the domain of f(x) is:

[tex]g(x) \geq 0[/tex]

Otherwise, if n is odd, the domain of f(x) is all real numbers.

1. S(x) = √x

If n does not appear is that it is 2.

g(x) = x

So the domain is:

[tex]x \geq 0[/tex]

2. H(x) = √2+x

g(x) = 2 + x

So

[tex]2 + x \geq 0[/tex]

[tex]x \geq -2[/tex]

3. Z(x) = √x-2

g(x) = x - 2

[tex]x - 2 \geq 0[/tex]

[tex]x \geq 2[/tex]

4. Q(x) = √2-x

g(x) = 2 - x

[tex]2 - x \geq 0[/tex]

[tex]-x \geq -2[/tex]

Multiplying by -1, everything

[tex]x \leq 2[/tex]

5. V(x) = √-x

g(x) = -x

Then

[tex]-x \geq 0[/tex]

Multiplying by -1

[tex]x \leq 0[/tex]

6. N(x) = ^3√2-x

Cubic root(odd number), so all real numbers.

Answer:

i think its 320

Step-by-step explanation:

i looked it up

Answer:

320

Step-by-step explanation:

To find the total sum, divide the sum of money by the percentage.

12 1/2% = 0.125

40/0.125 = 320

Answer: B = B ∈ {70° + n*360° I n ∈ Z  } where Z is the set of the integer numbers.

Step-by-step explanation:

If we have an angle A, the other angles that have the same terminal arm than A can be written as:

B = A + n*360°

Here B is a "coterminal" angle to A. (they have the same terminal side)

where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)

So we can write the set as:

B = B ∈ {70° + n*360° I n ∈ Z  }

The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

We have to determine, which set of angles has the same terminal arm as 70 degrees.

According to the question,

Let, The angle A and other angle B that have the same terminal arm as A can be written as,

B  = A + n × 360°

Where the value of angle A is 70 degrees.

B is the coterminal angle, and they have the same terminal,

And n is the number of integers.

Substitute the value of A in the equation,

B  = 70 + n × 360°

Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.

Since the value of n is equal to 0 then A = B,

Therefore, The angles coterminal with itself is called trivial.

Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

To know more about Terminal Arm click the link given below.

https://brainly.com/question/20333574

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200

Answer:

1/10

Step-by-step explanation:

We are hoping for 2 of the 20, and 2/20 simplified equals 1/10

C: 1/5 chance.

There are 20 possible outcomes, with 4 involving chicken and 4 involving ribs.

However, only 2 of each of those involves red sauce.  

So the possibilities of getting a red sauce with chicken or ribs is 4.

4/20 = 1/5.

Answer: SSS

The markings on the two triangles display side congruencey.

So AC is congruent to EC and etc. There are three pairs of side markings, so that means the two triangles are congruent because of the side, side side postulate.

Answer:

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5)+(7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x= 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6(13.15)+5 = 83.9°

The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°

Answer:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Step-by-step explanation: exact answer

Answer:

10.7...........................................

Answer:

[tex]5x^{x}[/tex]

Answer:

work is shown and pictured

The point-slope form of the line is [tex]y-19=2(x-5)[/tex].

Important information:

We need to find the point-slope equation for the line

The point-slope form of a line that passes though the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute [tex]x_1=5,y_1=19,x_2=-5,y_2=-1[/tex].

[tex]y-19=\dfrac{-1-19}{-5-5}(x-5)[/tex]

[tex]y-19=\dfrac{-20}{-10}(x-5)[/tex]

[tex]y-19=2(x-5)[/tex]

Thus, the point-slope form of the line is [tex]y-19=2(x-5)[/tex].

Find out more about 'point-slope form' here:

https://brainly.com/question/12743204

Answer:

the value of a and b is 68

Step-by-step explanation:

the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.

Answer:

a = 68, b = 136

Step-by-step explanation:

The angle in the circle = 360°, thus

b = 360 - 224 = 136

The inscribed angle a between a tangent- chord is equal to half the measure of its intercepted arc, so

a = 0.5 × 136 = 68

Answer:

-3.3 degrees

Step-by-step explanation:

10.2-13.5+ -3.3

Answer: 65 + 5x ≥200

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

Janice's savings (65) plus the product of the amount she saves per week (5) and the number of weeks (x) must be higher or equal to $200.

Mathematically speaking:

65 + 5x ≥200

If we solve it for x:

5x ≥200-65

5x ≥135

x ≥ 135/5

x ≥ 27 weeks

Feel free to ask for more if needed or if you did not understand something.

Answer:15

Step-by-step explanation:

it could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Answer:

2,3,5,6

Step-by-step explanation:

a) 108°

Answer:

b) 54°

Step-by-step explanation:

a) By arc sum property of a circle.

[tex] m\widehat {AEB} + m\widehat {AB} = 360°\\

252° + m\widehat {AB} = 360°\\

m\widehat {AB} = 360°- 252°\\

\huge \red {\boxed {m\widehat {AB} = 108°}} \\[/tex]

b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:

[tex] m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\

\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\

\huge \purple {\boxed {m\angle BAC = 54°}} [/tex]

Answer:

False

Step-by-step explanation:

Since the inequality uses the greater than symbol >

Then the line drawn should be a broken line.

If the inequality had ≥ ( greater than or equal to )

Then the line would be solid.

the guy above is correct

The answer is: False

All that is needed to do is to simplify the expression.

The answer to your question is:

[tex]6 x^{6}[/tex] - [tex]10 x^{3}[/tex] + [tex]8x^{2}[/tex]

Hope I helped!

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

Answer:

The value of [tex]x[/tex] :

[tex]x = 9[/tex]

Step-by-step explanation:

-Solve for [tex]x[/tex] :

[tex]x =- 15 = -6[/tex]

-Add both sides by 15:

[tex]x - 15 + 15 = -6 + 15[/tex]

[tex]x = 9[/tex]

Now, you have found the answer.

Answer:

197.192

Step-by-step explanation:

The formula forthe area of a circle is 3.14r squared

so 3.14(20) 2(squared)=197.192

Answer: 1, 2, and 4

Step-by-step explanation:

The graph with straight line is an function.

The second one shows about every has two single numbers instead of more than one output.

The third one shows the points, but -1 has more than one output, show it's not an function.

The final one shows the slope intercept form and it's just an function.

Answer:

1,2,4 also

Step-by-step explanation:

Answer:

[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant II.

[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]

From trigonometry, we know that:

[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]

Now, in Quadrant II,

Therefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]

Therefore:

[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Answer:

the angles would either be 20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

The value of y is unknown bas there is no equation

Answer:

Step-by-step explanation:

What you just have to do is multiply 2 1/2 and 1 1/4, but i can still do it. 2 1/2 is the same as 5/2 , and 1 1/4 is the same as 5/4, so just multiply the top and the bottom and you will get 25/8 whicxh is basically 3 and 1/8

Answer:

C. Add the equations

Step-by-step explanation:

Adding both the equations will help eliminating 5y.