look at image for question and answer​

Answer:

For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)

The transformation to rectangular coordinates is written as:

x = R*cos(θ)

y = R*sin(θ)

Here we are in the unit circle, so we have a radius equal to 1, so R = 1.

Then the exact coordinates of the point are:

(cos(θ), sin(θ))

2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.

Remember that:

tan(x) = sin(x)/cos(x)

So if sin(x) = 0, then:

tan(x) = sin(x)/cos(x) = 0/cos(x) = 0

So tan(x) is 0 in the points such that the sine function is zero.

These values are:

sin(0°) = 0

sin(180°) = 0

Then the two possible points where the tangent is zero are the ones drawn in the image below.

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

Answer:

[tex] - 3x = 4y - 6[/tex]

[tex] - 3( - 2) = 4( - 3) - 6[/tex]

[tex]6 = - 12 - 6[/tex]

[tex]6 = - 18[/tex]

Answer:

a)139°

Step-by-step explanation:

two co interior angles make one opposite exterior angle

49+90=139°

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

Answer:

m BC = 100

Step-by-step explanation:

Since the angle is at the center, the arc has the same measurement as the angle

m BC = 100

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

a^2+b^2=c^2

a^2=c^2-b^2

a^2=10^2-5^2

a^2=100-25

a^2=75

a=7.7cm

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]

Simplify:

[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.

  y = (x -3)/(x -9) . . . . . . x ≠ -7

The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.

The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).

__

The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.

__

The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.

The appropriate descriptors are ...

Answer: First Choice. 3 ( x - 5 )

Step-by-step explanation:

Concept:

When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.

The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".

Solve:

Factors of 3: 1, 3

Factors of 15: 1, 3, 5, 15

As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15

Divide 3 for both numbers to find the remaining.

Check whether or not the remaining can be divisible

Put the factored out 3 and remaining together

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

[tex] \frac{1}{15} \times \frac{1}{3} [/tex]

[tex] = \frac{1}{15 \times 3} [/tex]

[tex] = \frac{1}{45} (ans)[/tex]

Answer:the answer is 9

Step-by-step explanation:

Step-by-step explanation:

I think you first have to calculate a°,this can be done by first finding c°

c°=180-125

=55°

opposite angles in a quadrilateral add up to 180

therefore a°=180-55

=125

therefore angle d

180-125

=55

I hope this helps

Answer:

A

Step-by-step explanation:

Answer:

Here we have:

g(x) = 2*√x

And we know that it is related to a parent function, where the parent functions are:

Linear Function: f(x)=x.

Quadratic Function: ݂f(x)=x^2.

Square Root function: f(x)= √x.

Absolute Value function: f(x)=|x|

Cubic function: f(x)=x^3.

Cube Root function: f(x) = ∛x

Logarithmic function: f(x)=log x or f(x)=In x.

Exponential function: f(x) = a^x.

a) Because g(x) = 2*√x

We can see that it is related to the square root function, then the parent function is:

f(x) = √x

b) now we want to write g(x) in terms of f(x)

we have:

g(x) = 2*√x

we can replace √x by f(x)

then we get:

g(x) = 2*f(x)

Now we have g(x) in terms of f(x)

Answer: A. The number 23 is prime, but 36 is composite.

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

Explanation:

Let's go through the possible answer choices

23 is indeed prime, and 36 is indeed composite.

33 is composite, and 42 is indeed composite.

21 is composite, and 25 is composite as well

27 is not prime, and 39 is composite.

Primes have only 2 factors: 1 and themselves.

And 33, 21 and 27 definitely have more than 2 factors. Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

The graph shifts 5 units left

Step-by-step explanation:

The given functions are;

f(x) = [tex]2^{x - 2}[/tex], g(x) = [tex]2^{x + 3}[/tex]

Therefore, we have;

When x = 2, f(2) = [tex]2^{2 - 2}[/tex] = 1  and g(2) = [tex]2^{2 + 3}[/tex] = 32

When x = 3, f(3) = [tex]2^{3 - 2}[/tex] = 2  and g(3) = [tex]2^{3 + 3}[/tex] = 64

When x = 6, f(6) = [tex]2^{6 - 2}[/tex] = 16  and g(6) = [tex]2^{6 + 3}[/tex] = 512

When x = 7, f(7) = [tex]2^{7 - 2}[/tex] = 32 and g(7) = [tex]2^{7 + 3}[/tex] = 1024

When x = 8, f(8) = [tex]2^{8 - 2}[/tex] = 64  and g(8) = [tex]2^{8 + 3}[/tex] = 2,048

Therefore, the y-value of f(x) obtained at x = 8, is obtained by g(x) at x = 3, and the graph is shifts(ed) 5 units left.

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

Answer:

the answer = um ok

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]3x - 15 \geqslant 3[/tex]

[tex]3x \geqslant 3 + 15[/tex]

[tex]x \geqslant \frac{18}{3} [/tex]

[tex]x \geqslant 6[/tex]

Answer:

512 inches ^2

Step-by-step explanation:

The surface area is found by

SA = 2(lw+wh+hl)  where l is the length  h is the height and w is the width

SA = 2( 8*8 + 8*12 + 12 * 8)

   = 2(64+ 96+96)

    = 2 ( 256)

   = 512 inches ^2

Answer:

512 square inches

Step-by-step explanation:

8 x 8 = 64

12 x 8 = 96

64 x 2 = 128

96 x 4 = 384

128 + 384 = 512 in^2

Answer:

multiply each term in the bracket by the expression outside the bracket

:)

Step-by-step explanation:

Answer:

[tex]y= 3[/tex]

Step-by-step explanation:

Given

[tex]RT = 6[/tex]

[tex]k = 1.5[/tex] --- dilation ratio

See attachment

Required

Determine length, y

First, we calculate length R'T.

Since point T is the center of dilation, then:

[tex]R'T = k * RT[/tex]

Substitute known values

[tex]R'T = 1.5 * 6[/tex]

[tex]R'T = 9[/tex]

y is between R'T and RT;

So:

[tex]y = R'T - RT\\[/tex]

[tex]y = 9 -6[/tex]

[tex]y= 3[/tex]

Answer:

either 4 or 9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

(3x-1+2x+1)(3) -> 3 is the plug-in for x

3x-1+2x+1=5x

5*3=15

15

Answer:

15

Step-by-step explanation:

f(x) = 3x -1

g(x) = 2x+1

(f+g)(3)

find g(3) = 2(3)+1 = 6+1 = 7

Then find f(3) = 3(3) -1 = 8

f(3) + g(3) = 7+8 = 15