The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve for the dimensions (length and width) of the poster.

The statement(s) that are true is that the measure of the reference angle is 45°.

The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.

From the given information:

[tex]\mathbf{\theta = \dfrac{7 \pi}{4}}[/tex]

To degrees, we have:

[tex]\mathbf{\theta = \dfrac{7 \pi}{4} \times \dfrac{180}{\pi}}[/tex]

[tex]\mathbf{\theta =315^0}[/tex]

A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.

315° is in the 4th quadrant, i.e.

= 360° - 315°

= 45°

Therefore, the statement(s) that is true is:

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Answer:

sin(0)=-√2/2

tan(0) = -1

The measure of the reference angle is 45°

Step-by-step explanation:

I took the test

Answer:

The question asks, "find the slope".

9) -4/15

10) -1/14

11) -3/4

12) -1/4

13) 11/17

14) -18/13

15) 0

16) -30

17) -5

19) -1/5

21) 1/4

23) -1

25) -2/3

Answer:

A: He sold 33 copies

B: $4340

Step-by-step explanation:

A: p=80(33) + 2500

   p=2640+ 2500

   p=5140

B: p = 80(23) + 2500

   p=1840+ 2500

   p=4340

Answer:

Theres a lot going on in this question but i tried my best to answer it all, correctly. Sorry if something is wrong or i misread the question. check explanation for answer.

Step-by-step explanation:

I'm not sure to use pi or 3.14 so i just did both.

Circle A's radius = 5cm

Circle B's radius = 10cm

Circle C's radius = 13cm

Circle D's = 12cm

(circle A)

π = 3.14

A = πr²

A = 3.14(5²)

A = 3.14(25)

A = 78.5cm²

π = π

A = πr²

A = π(5²)

A = π(25)

A = 78.54cm²

(circle B)

π = 3.14

A = πr²

A = 3.14(10²)

A = 3.14(100)

A = 314cm²

π = π

A = πr²

A = π(10²)

A = π(100)

A = 314.16cm²

(circle C)

π = 3.14

A = πr²

A = 3.14(13²)

A = 3.14(169)

A = 530.7cm²

π = π

A = π(13²)

A = π(169)

A = 530.9cm²

(circle D)

π = 3.14

A = πr²

A = 3.14(12²)

A = 3.14(144)

A = 452.2cm²

π = π

A = πr²

A = π(12²)

A = π(144)

A = 452.4cm²

452.2 / 78.5 =5.8

circle d is 5( almost 6) times greater than circle A

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So the length of an edge of the cube is 10 feet.

Answer:

P = 12 + 2π cm

Step-by-step explanation:

arc length is calculated as

arc = circumference × fraction of circle

the angle subtended at the centre of the sector = 360° - 300° = 60° , then

arc = 2πr × [tex]\frac{60}{360}[/tex]

      = 2π × 6 × [tex]\frac{1}{6}[/tex]

      = 2π

the perimeter (P) = 6 + 6 + 2π = 12 + 2π

Answer:

fist bubble i am pretty sure

Step-by-step explanation:

Answer:

4°C

Explanation:

Equation: y = -0.36x + 12.6

Simplify

y = -0.36(23)+12.6

y = 4.32°C

y = 4°C       (rounded to nearest degree)

Answer:

Answer(s):

1x4

2+2

2x2

Step-by-step explanation:

Hope this helps!

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:

E' = (-1 + 4, 5 – 2) = (3, 3)

F' = (-1 + 4, -3 - 2) = (3, -5)

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of the E'F' = √(0 + 64) = 8 units

Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

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Answer:

[tex]12.95 \: inches[/tex]

Step-by-step explanation:

We were told that the diameter of the circular plate is 11 inches. In order to find the distance the ants travel to make one revolution we have to first find the circumference of the circular plate. Circumference is:

[tex]2\pi \: r[/tex]

The radius would be half of the diameter (11). Therefore the radius is 5.5.

[tex]r = 5.5 \: \: \: \: \: \pi = 3.14 \\ cir = 2(3.14) \: (5.5) \\ cir = 6.28 \times 5.5 \\ cir = 34.54[/tex]

Since we found the circumference of the circular plate that means that we know how much one revolution made by the ants would be (34.54). Since the ant made 1.5 revolutions we have to multiply 34.54 by 1.5.

[tex]34.54 \times 1.5 = 51.81[/tex]

So we now know that the ant walked 51.81 inches in 4 minutes, now we have to find the distance he would walk in 1 minute.

Let x be the unknown value*

[tex] 51.81 \:inches = 4 \:minutes \\ x \:inches = 1 \: minutes\\ \\ 51.81=4x \\ \\\frac{51.81}{4} = x \\ \\ 12.95 = x[/tex]

Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Answer:

reflection in the y- axis

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis

Answer:

Step-by-step explanation:

a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)

b. 6^8

Answer:

graph 19 because since it is that means also like the thingy equals that number si then like when the thing is at the highest point it cab maybe actually it will equal that number

Answer:

please make the image less blurry

Step-by-step explanation:

Answer:

the answer to 16 is C i know cause i had the same thing and the answer for 17 is A.

Step-by-step explanation:

Hope thi helps

Answer:

1, 6, 11, and 16 in that order

Step-by-step explanation:

every time the x value increases by 1, the f(x) value increased by 5

The three sets are independent sets and the value of the probability of A∩B∩C is: 0

The sets are given as:

A = {1,2,3}, B = {4,5} and C = {6,7,8}

The total number of elements in the three sets is:

Total = 8

The number of elements of A∩B∩C is 0, because the sets do not have a common element.

So, the probability of A∩B∩C is:

P = 0/8

Evaluate

P = 0

Hence, the probability of A∩B∩C is: 0

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Answer:

39 in²

Step-by-step explanation:

Area of triangle = 1/2 * b * h, where,

b = Base of Triangle

h = Height of triangle

Area of 4 triangles = 4 * 1/2 * 3 in * 5in

Area of 4 triangles = 2 * 3 in * 5 in

Area of 4 triangles = 30 in²

Area of square = a², where,

a = Each side of square.

Area of square = (3 in) ²

Area of square = 9 in²

Total surface area of pyramid = 30 inch² + 9 inch²

Total surface area of pyramid = 39 in²

Answer:

39 in^2 (Please mark me brainliest)

Step-by-step explanation:

3*3+3*2*5

=39

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

Ans57 , 58 , 59

Step-by-step explanation:

Answer:

[tex](2,2)~ \text{and}~ (-2,-2)[/tex]

Step by step explanation:

[tex]x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\[/tex]

[tex]\text{Hence,}~ (x,y) = (\pm2, \pm 2)[/tex]

Let z = -2 - 2√3 i.

Find the modulus of z :

|z| = √((-2)² + (-2√3)²) = √16 = 4

Find the argument of z (note that z lies in the third quadrant):

arg(z) = arctan(2√3/2) - π = arctan(√3) - π = -2π/3

Then in polar form, we have

[tex]z = -2 - 2\sqrt 3\, i = 4 \exp\left(-i\dfrac{2\pi}3\right)[/tex]

By DeMoivre's theorem, the cube of z is

[tex]z^3 = \left(4 \exp\left(-i\dfrac{2\pi}3\right)\right)^3 = 4^3 \exp(-i 2\pi) = \boxed{64}[/tex]

Answer:

1. a=3

2. a=3

3. a=9

Step-by-step explanation:

1. 9/a+9-4=12-56/8+3

We move all terms to the left:

9/a+9-4-(12-56/8+3)=0

Domain of the equation: a=0

a∈R

We add all the numbers together, and all the variables

9/a+9-4-8=0

We add all the numbers together, and all the variables

9/a-3=0

We multiply all the terms by the denominator

-3*a+9=0

We add all the numbers together, and all the variables

-3a+9=0

We move all terms containing a to the left, all other terms to the right

-3a=-9

a=-9/-3

a=+3