Find the measure of line segment TU. Assume that lines which appear to be tangent to the circle are tangent.
A)
7
B)
8
0
9
D)
10

Answer:

15 and -20

Step-by-step explanation:

The zeros/ roots are the x intercepts of the graph

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

By DeMoivre's theorem,

(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))

… = 81 (cos(20π/6) + i sin(20π/6))

… = 81 (cos(10π/3) + i sin(10π/3))

… = 81 (cos(-2π/3) + i sin(-2π/3))

… = 81 (cos(2π/3) - i sin(2π/3))

… = 81 (-1/2 + √3/2 i )

… = -81/2 + 81√3/2 i

Answer:

The total number of flowers grown is 163.

Step-by-step explanation:

Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:

P = 2R

W = R + 3

W = P - 37

W = W

R + 3 = 2R - 37

R + 3 + 37 = 2R

40 = 2R - R

40 = R

P = 2 x 40 = 80

R = 40

W = 40 + 3 = 43

80 + 40 + 43 = X

163 = X

Therefore, the total number of flowers grown is 163.

Answer:

sec t = 1/(cos t) = 1/(-3/4) = -4/3

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

A) [tex]\sqrt{8x/3}[/tex]

Step-by-step explanation:

[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]

[tex]\sqrt{8x^{2}/{3x}[/tex]

[tex]\sqrt{8x/3}[/tex]

Therefore, A is correct

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Answer:

15

Step-by-step explanation:

30% is equal to 0.3 as a proportion

Multiply 50 by 0.3 to get the number of students who play soccer.

50 X 0.3 = 15

Answer:

15

Step-by-step explanation:

football and track =50% =25 students

20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

Answer:

c) [tex]\frac{x-2}{x+6}[/tex]

Step-by-step explanation:

When given that function (f) is the following,

[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]

The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,

[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]

If is given that function (g) is the following,

[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]

Then one should also factor the expression,

[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]

One is asked to find the following,

[tex]f(x)*g(x)[/tex]

To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,

[tex]f(x)*g(x)[/tex]

Substitute,

[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]

Simplify, cross out like terms in the numerator and denominator,

[tex]\frac{x-2}{x+6}[/tex]

Answer:

Step-by-step explanation:

Ardem collected data from a class survey he then randomly selected samples of five responses to generate for samples​

look at picture

Answer:

i dont frickin know the answer

Answer:

it's

-21

or 12

which one you mean

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Answer:

here,

38+X=180 (being straight line)

or,X=180-38

therefore, X=142 ans,,,

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw =  $25

Variable cost of renting chain saw =  $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

Time taken = n

So,

P = 25 + (15)n

P = 25 + (15)(5)

P = 25 + 75

P = 100

Total amount paid by David = $100

Answer: 50%

Step-by-step explanation:

Answer:

What percent of 186 is 93?

answer:50

Answer:

$730.08

Step-by-step explanation:

22% = 0.22

1 - 0.22 = 0.78

Value after 2 years

v = 1200(0.78)²

v = 730.08

$730.08

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

Answer:

70 amps

Step-by-step explanation:

The current I is inversely proportional to the resistance R

I=k/R   (k is the constant of proportionality)

A)   I=210 amperes

     R=4 ohms

I=k/R

k=I×R

k=210×4=840

B)    R=12 ohms

     k=840

    I=k/R

   I=840/12=70 amperes

The current will be 40 mA when the resistance is 15 ohms.​

Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.

Ohms law formula is -

V=IR, Where

Voltage is V and is measured in Volts,

The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.

Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,

120 mA = 0.12 A

Therefore,

V = IR

V = 0.12 × 5

V = 0.6 volts

Now, when the resistance is 15 ohms, the current will be =

0.6 = I × 15

I = 0.6 / 15

I = 0.04 A

I = 40 mA

Hence, the current will be 40 mA when the resistance is 15 ohms.​

Learn more about Ohms law, click;

https://brainly.com/question/1247379

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Answer:

2b + 10

Step-by-step explanation:

Answer:

$6.33

Step-by-step explanation:

42.40 x 0.15 = $6.33

9514 1404 393

Answer:

Step-by-step explanation:

The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.

Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.

Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.

As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.

__

Additional comment

Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.

Answer:

10%

Step-by-step explanation:

if he has 60 boxes then it would be 60/600

simplify that to 6/60 which further simplifies to 1/10 which is 10%

Answer:

600-100%

60-10%

Odp-Wynosi 10%                                                                                             tep-by-step explanationu  Pozdrawami

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Answer:

4.8 miles

Step-by-step explanation:

have a good day!

Answer:

4.8 Miles

Step-by-step explanation: