Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

sin(x)=1

Take the inverse sin of each side

sin ^ -1(sin(x))=sin ^-1(1)

x =90 + 360n where n is an integer

We can go around the unit circle and find more solutions

When x = 450, sin 450 = 1

When x = -270, sin (-270) = 1


Related Questions

Each of 3 water sprinkler systems covers a semicircle with radius 2m on the

side of a house shown.

What amount of area remains dry? Show your work to explain how you go

your answer, to the nearest square meter. (Dry area is in the shaded

region.)

Answers

Answer:

5 meters

Step-by-step explanation:

We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;

Area of rectangle = Length * width

Length = 12 ; width = 2

Area of rectangle = 12 * 2 = 24 m²

Area of semicircle = πr² / 2

The radius, r of each semicircle = 2

Area of each semicircle = π * 2² / 2 = 6.283 m²

Area of the 3 semicircles = 3 * 6.283 = 18.849 m²

Area of dry region:

(24 - 18.849) m²

= 5.151 m²

= 5 m

Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

A. Opposite angles of a rhombus are congruent.

B.Opposite angles of a quadrilateral are congruent.

C. Every parallelogram is a rhombus.

D. Every quadrilateral is a rhombus.

Answers

Answer:

A. Opposite angles of a rhombus are congruent.

Step-by-step explanation:

A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.

What length would the wire be for a similar 20 by 20cm sqaure

Answers

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

help asap ---------------------------

Answers

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

The manned is a powerful force in a free market and 3 to 4 cents and fling some of the factors that cause changes in demand and why it is important for consumer standards and the changes

Answers

Answer:

The description as per the given question is provided below.

Step-by-step explanation:

Demand reflects a shareholder's intent to attract consumers as well as works as a gauge of such a buyer's ability to collect a particular preference for a particular commodity.

The factors that change the demand are as follows:

User needs as well as requirements.Changes affecting associated commodity prices.Peoples' political revenues.The general economy's proportion of participants.

X=
4
7
9
Does anyone know this please help quick !

Answers

Answer:

9

Step-by-step explanation:

Intersecting Chords Formula:

a • b = c • d

where a and b are the segments on one chord and c and d are the segments on the other chord

3*6 = 2*x

18 = 2x

Divide by 2

18/2 =2x/2

9 =x

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer: x= -7/8

Step-by-step explanation:

Hope it helps you

7/9 × 27/5 whats the answer?​

Answers

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5

Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral​

Answers

Answer:

Right angle triangle

Acute

Step-by-step explanation

1 right angle/90 degrees

2 acute angles

The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.

Answers

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

Create a linear system to model this situation. Then use substitution to solve the linear system to solve
the problem:
Bobbie has been saving dimes and quarters to buy a new toy. She has a total of 45 dimes and quarters,
with a value of $7.05. How many of each type of coin does Bobbie have?

Answers

Answer:

dimes --- x

quarters ---- 28-x

10x + 25(28-x) = 430

Step-by-step explanation:

not sure po

PLEASEEE HELPPPPPPP!!!!!!! question is above

Answers

AB=5

Step-by-step explanation:

x^2 - 10=3x

x^2 -3x -10=0

x^2 +2x-5x-10=0

x(x+2) -5(x+2) =0

(x-5) (x+2) =0

x-5=0. x+2=0

x=5. x=-2

Please help me solve this

Answers

Answer:

5890 (none of the above)

Step-by-step explanation:

Answer:

1472.6 in³

Step-by-step explanation:

The volume (V) of the oblique cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )

Here r = 15 ÷ 2 = 7.5 and h = 25 , then

V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25

   = [tex]\frac{1}{3}[/tex] × π × 56.25 × 25

   = [tex]\frac{1}{3}[/tex] × π × 1406.25

   = [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )

EG is the angle bisector of

Answers

Answer:

the remaining angle will be 32

cz angle bisector cuts an angle in two equal parts hooe it may help u

What is 2.3(x – 2) = 15

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2.3(x - 2) = 15}[/tex]

[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]

[tex]\mathsf{2.3x - 4.6 = 15}[/tex]

[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]

[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]

[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]

[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]

[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]

[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]

[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]

[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]

[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]

[tex]\boxed{\bf {x = 8.521739}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:) }[/tex]

Are the following triangles similar, Explain your answer​

Answers

Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.

jsfghsjgehgeujvnegeuge

Answers

Answer:

Option 2: 67.014

Step-by-step explanation:

please help…………..i have more to ask

Answers

Answer:

YES

Step-by-step explanation:

Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

✔️Distance between A(-4, 2) and B(1, 4):

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

Let,

[tex] A(-4, 2) = (x_1, y_1) [/tex]

[tex] B(1, 4) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]

[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]

[tex] AB = \sqrt{25 + 4} [/tex]

[tex] AB = \sqrt{29} [/tex]

✔️Distance between C(2, -1) and D(4, 4):

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

Let,

[tex] C(2, -1) = (x_1, y_1) [/tex]

[tex] D(4, 4) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]

[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]

[tex] CD = \sqrt{4 + 25} [/tex]

[tex] CD = \sqrt{29} [/tex]

AB = CD = √29

Therefore, they both have the same length.

( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với

Answers

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

The masses to the nearest kilogram of nine men were:

75, 68, 78, 82, 85, 90, 88, 92, 76.

Calculate the mean mass​

Answers

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

I hope this helps! Let me know if you have any questions :)

82kg is the answer I did research and I’m 90% sure that the answer

help..................​

Answers

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?

Answers

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

what are the steps to this?

Answers

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.

Answers

Answer:

its A or C

Step-by-step explanation:

20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work

Answers

For the 8 men to finish the work it would take 16.76 days to finish the piece of work

Find f(3) given f(x) = -3x^3 + 2x^2 + 24
A. 123
B. -39
C. 69
D. 99

Answers

The correct answer is d

I need help with this plz

Answers

Answer:

[tex]x^{15}[/tex]

Step-by-step explanation:

Distribute the ^3 on top

(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])

the 27's cross out, the [tex]y^{-9}[/tex] 's cross out

[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left

move the  [tex]x^{-9}[/tex] to the top of fraction to change its sign

[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]

Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?

Answers

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which would not result in the elimination of the variables in this system? Multiply the first equation by 8 and the second equation by 2. O Multiply the first equation by 7 and the second equation by 3. O Multiply the first equation by 4 and the second equation by -1. o Multiply the first equation by 14 and the second equation by 6.​

Answers

The first option :

Multiply the first equation by 8 and the second equation by 2

would not result in the elimination of the variables in this system

The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.

Answers

Step-by-step explanation:

everything can be found in the picture

Other Questions
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