Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale

#1

False

#2

False

#3

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Answer:

x<7

Step-by-step explanation:

-3(x - 4) > -2x + 5 Distribute

-3x+12>-2x+5  Subtract 12 from both sides

-3x>-2x-7 Add 2 to both sides

-5x>-7 Simplify

x<7

Answer:

x < 7.

Step-by-step explanation:

-3(x - 4) > -2x + 5

-3x + 12 > -2x + 5

-3x + 2x > 5 - 12

-x  > -7      Note: we divide by -1 so the sign flips:

x < 7.      

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.

The first row has already gone as low as it can so rows two and three need to be worked on.

The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:

[1    0     0   I  5]

[0    1     0   I  4]

[0    0    1    I  3]

In conclusion, option B is correct.

Find out more on the Gauss-Jordan Elimination method at https://brainly.com/question/12090959.

#SPJ4

Answer:

14

Step-by-step explanation:

Because your total is 182 desserts and you want to arrange them into 13 rows you will divide the two numbers. So, 182/13 is 14. so 14 is your answer.

Hope that helped

Answer:

14 Tropical cupcakes per row

Hope this helped :)

Step-by-step explanation:

182 ÷ 13 = 14

Check:

14 × 13 = 182 ✓

Answer:

Relative frequency for each discount :

10% - 0.4925, 20% - 0.3325, 40% - 0.175

Since only 33.25% of customers got 20% discount, it is not an appropriate method.

Step-by-step explanation:

relative frequency = number of frequency/total number of frequency

you can find out relative frequency for each number and add them up to get relative frequencies of discounts.

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

Answer:

1) 9y^10

2) 560u^16 v^15

Step-by-step explanation:

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

Since AB = CD = √41, the figure is a rectangle.

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

Answer:

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Answer:

540

Step-by-step explanation:

If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540

Hope this helps! ;-)

Answer:

Step-by-step explanation:

The task is to draw the parabola of the equation [tex]x^{2} -4x+4[/tex] on the given graph.

The first step we can take to doing this is to use the table on the left hand side to work out our x and corresponding y-values to use as plotting coordinates. To do this you want to substitute the given value for x which will give you a corresponding y-value.

E.g:

x | [tex]x^{2} -4x+4[/tex]      | y

0 | [tex](0)^{2} -4(0)-4[/tex] | -4

Here we have gotten the coordinates (0, -4) so this will be a point on the graph.

Repeat with all other values on the table and you should get a bunch of dots which lead upwards in a curved line from a point. Extend the lines to form a parabola shape (A u-shape).

Once you have drawn the graph, label the parts.

Roots: The places where the line crosses the x-axis

Vertex: The lowest point of the parabola

Line of symmetry: The vertical line in which the parabola reflects/ is the same either side (Has equation x=_).

y-intercept: The point where the line crosses the y-axis.

Hope this helped!

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

======================================================

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

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

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

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

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

Answer: height of a building

Step-by-step explanation:

a^2 + b^2 = c^2

used for finding missing side angle of a triangle

Answer:  0.000039

Step-by-step explanation: i us calculator

Answer:

0.000039.

Step-by-step explanation:

3.9 / 100,000

Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)

filling in the zeroes as you move alomg.

So its  0.000039

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Answer:

  (c)  2205 cm³

Step-by-step explanation:

The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.

__

  V = LWH

  V = (21 cm)(21 cm)(10 cm) = 4410 cm³

Each piece will have a volume that is half that:

  V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Answer:

Mean-average

Median-middle

Mode-Most Often Digit Entered (Most Common Digit)

Range-Least To Greatest

Step-by-step explanation:

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

Answer:

A) [tex]0.13[/tex]

Step-by-step explanation:

If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]

Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the following expression can be solved as follows ~

[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]

Taking LCM on both the sides ,

[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]

On cross multiplying ,

[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]

let's now gather the like terms at either sides of the equation and solve ~

[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]

on further simplifying ,

[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]

hope helpful ~

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]