Use sum or difference identities to find the exact value of sin285

Answer:

It will look like a graph with a slope of 4 and a y intercept of -8

Step-by-step explanation:

Just rearrange the variables

Answer:

Step-by-step explanation:

If the question mentions a graph, you'll need to share that graph.

Here's one good procedure for graphing -4x + y = 8:

Find the y-intercept:  Let x = 0 and solve for y.  We get (0, 8).  Plot this.

Find the x-int.  Let y = 0 and solve for x.  We get (-2, 0).  Plot this.

Then draw a straight line through these two points.

Answer: wads

Step-by-step explanation:wasd

Answer:

Is that equation typed correctly?

For one thing, that second term should (probably) be 8x^2.

Step-by-step explanation:

the sales tax is close to 217.94

Answer:17.9955

Step-by-step explanation:

199.95 * 0.09 = 17.9955

when ever you want to work out a % just multiple it by the % in decimal ie 10% = 0.1, 100% = 1.0, 9% =0.09

OR

if you want to work out what 9% is added on top of the price to total 199.95 you can you this

A1= gross amount

B1 = tax percentage

(A1/(100+B1)*100) = 183.440367 before the tax is added so the total tax at 9% = 16.509633

Answer:

A. 4/7

Step-by-step explanation:

If Susie has a bag with 9 hairpins, 7 pencils, 2 snacks, and 4 books, the ratio of books to pencils is 4/7 or 4:7.

4 books.

7 pencils.

You could combine the 4 and 7 getting, 4/7 or 4:7

Even though, there are more numbers, the question only asked for the ratio of books to pencils.

Answer:

the polygon is not regular and the 360/n formula is only applies to regular polygons

Step-by-step explanation:

Answer:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}=2\sqrt{6}+4[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]

To simplify the expression multiply by the conjugate of the denominator.

The denominator is

[tex]\sqrt{3}-\sqrt{2}[/tex]

Then its conjugate is:

[tex]\sqrt{3}+\sqrt{2}[/tex]

Then:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}*\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}\\\\=\frac{2\sqrt{2}\sqrt{3}+2\sqrt{2}\sqrt{2}}{(\sqrt{3})^2-(\sqrt{2})^2}\\\\\frac{2\sqrt{6}+4}{3-2}}\\\\= \frac{2\sqrt{6}+4}{1}}=2\sqrt{6}+4[/tex]

Answer:

[tex]4+2\sqrt{6}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex].

Now we need to simplify this. So multiply and divide by conjugate of denominator.

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]

[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}[/tex]

[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}\cdot\frac{\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}+\sqrt{2}\right)}[/tex]

[tex]=\frac{2\sqrt{6}+2\sqrt{4}}{\left(\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2}[/tex]

[tex]=\frac{2\sqrt{6}+2\cdot2}{3-2}[/tex]

[tex]=\frac{2\sqrt{6}+4}{1}[/tex]

[tex]=2\sqrt{6}+4[/tex]

[tex]=4+2\sqrt{6}[/tex]

Hence final answer is [tex]4+2\sqrt{6}[/tex].

Answer:

10c=113

113=c10

Step-by-step explanation:

Either is same. For multiplication, even though you flip it, it is same.

Answer:

10c=113

113=c10

c=113/10

Step-by-step explanation:

You are on the right track: - 20 + 3 = - 17 but do not forget about "dropped 8°C"

-20 + 3= -17

You are correct.

Answer:

384

Step-by-step explanation:

Answer:

They answer 256 because you will multiply the border four times (4x4x4x4) to get the perimeter of border.

Answer:

(x,y) = (-6.12,-11.76)

Step-by-step explanation:

2x+4y=-48 => eq(i)

4x-9y=57  => eq(ii)

We need to solve these equations simultaneously to find the values of x and y.

Multiplying eq(i) with 2 and subtracting both equations

4x + 16y = -96

4x - 9y  = 57

-    +         -

__________

25 y = -153

y = -153/25

y = -6.12

Putting value of y in eq(i)

2x + 4(-6.12) = - 48

2x - 24.48 = -48

2x = -48 + 24.48

2x = -23.52

x= -23.52/2

x= -11.76

So, values of x and y are -6.12 and -11.76

(x,y) = (-6.12,-11.76)

The solution to the system of linear equations is [tex]\(x = -6\) and \(y = -9\).[/tex]

Let's solve the system of linear equations:

[tex]1. \(2x + 4y = -48\)\\2. \(4x - 9y = 57\)[/tex]

We can use the substitution or elimination method. I'll use the elimination method here:

Multiply the first equation by 2 to make the coefficients of [tex]\(x\)[/tex]in both equations the same:

[tex]1. \(4x + 8y = -96\)\\2. \(4x - 9y = 57\)[/tex]

Now, subtract the second equation from the first to eliminate [tex]\(x\):[/tex]

[tex]\((4x + 8y) - (4x - 9y) = -96 - 57\)[/tex]

Simplify:

[tex]\(17y = -153\)[/tex]

Now, solve for \(y\):

[tex]\(y = -\frac{153}{17} = -9\)[/tex]

Now that we have \(y\), substitute it back into one of the original equations. I'll use the first equation:

[tex]\(2x + 4(-9) = -48\)[/tex]

Simplify:

[tex]\(2x - 36 = -48\)[/tex]

Add 36 to both sides:

[tex]\(2x = -12\)[/tex]

Divide by 2:

[tex]\(x = -6\)[/tex]

So, the solution to the system of linear equations is [tex]\(x = -6\) and \(y = -9\).[/tex]

Why don’t you round the last answer

For this case, we have that by definition:

ρ = [tex]\frac {M} {V}[/tex]

Where:

ro: Density

M: Mass

V: Volume

We find the volume of the pyramid:

[tex]V = \frac {1} {3} * l ^ 2 * h[/tex]

Where:

[tex]l ^ 2[/tex]: Represents the area of the base of the square pyramid

h: Represents the height

So:

[tex]V = \frac {1} {3} * (6) ^ 2 * 2.5\\V = \frac {1} {3} * 36 * 2.5\\V = 30 \ in ^ 3[/tex]

We have to:

M = ρ* V

[tex]M = 0.258 \frac {lb} {in ^ 3} * 30 \ in ^ 3\\M = 7.74 \ lb[/tex]

So, you need 7.74 pounds of zinc

Answer:

7.74 pounds

Answer:

(x + 3)(x + 7)

Step-by-step explanation:

Given

x² + 10x + 21

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (+ 10)

The factors are + 3 and + 7, since

3 × 7 = 21 and 3 + 7 = 10, hence

x² + 10x + 21 = (x + 3)(x + 7)

Answer:

Answer

3.0/5

8

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/

The height in centimeters of Micah's model given the scale of the drawing is 7.62cm

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing = original dimensions / dimensions of the scale drawing

The height of the model = 381 / 50 = 7,62cm

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The answer is : 270 seats

Multiply 18*15

18*15

=270

Answer: 270 seats

Complete the square on the right side of the equation

2(x-2)^2+1

Answer:

54

Step-by-step explanation:

Estimate=Population size × Sample proportion

population size =  120

sample proportion = (9)/(9+6+5) = 9/20 (check on Cymath as a resource)

estimate = 120 x 9/20 = 54

​

The estimation will be 54 for the number of mothers.

The estimation is the approximated results of anything it can be the possibility or probability of any event to happen or any number to come.

Estimate=Population size × Sample proportion

population size =  120

sample proportion = (9)/(9+6+5) = 9/20 (check on Cymath as a resource)

Estimate = 120 x 9/20 = 54

Hence estimation will be 54 for the number of mothers.

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Answer:

[tex]\large\boxed{0.000000057=5.7\cdot10^{-8}}[/tex]

Step-by-step explanation:

[tex]\text{Scientific notation:}\\\\a\cdot10^k\\\\\text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}\\-------------------------\\\\0\underbrace{.00000005}_{8\rightarrow}7=5.7\cdot10^{-8}[/tex]

If you move the comma several places to the right, the exponent at 10 is negative.

If you move the comma several places to the left, the exponent at 10 is positive.

Answer:

7/4

Step-by-step explanation:

up seven, right four

7/4. Go up seven, right 4

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1² = 9 + 1²

(x + 1)² = 10

Answer:x =(-2-√-32)/-2=1+2i√ 2 = 1.0000-2.8284i

x =(-2+√-32)/-2=1-2i√ 2 = 1.0000+2.8284

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

We need the formula of combination:

nCr = [tex]\frac{n!}{(n-r)!*r!}[/tex]

Also we need to understand "factorial" notation, which is the "!" mark. For example, 5! means 5 * 4 * 3 * 2 * 1, and

4! would mean 4 * 3 * 2 * 1

Now we can find out 16C14 by plugging it into the formula and doing the steps shown below:

[tex]nCr=\frac{n!}{(n-r)!*r!}\\16C14=\frac{16!}{(16-14)!*14!}\\=\frac{16!}{2!*14!}\\=\frac{16*15*14!}{(2*1)*14!}\\=\frac{16*15}{2}\\=120[/tex]

Answer:

(4,2) and (8,2)

Step-by-step explanation:

The mid segment unites the middle of two sides of a triangle.  In this case, the question wants us to have it parallel to BC, so it has to unite the middle of AB to the middle of AC.

The use of the clear grid in this case makes that we don't have to use any angle calculation.

If you start from point B, you'll need to go 6 units to the right and 8 units up to meet with A. That means the center point is located 3 units right and 4 units high from point B... so, we have point (4,2).

Starting from C, we do a similar calculation.  you need to go 2 units to the left and 8 units up... so the mid-point is 1 unit to the left and 4 units up... so (8,2).

Answer:

x=35

Step-by-step explanation:

ANSWER

x=35°

EXPLANATION

We want to find the value of x, when

[tex] \cos(x) = \sin(20 + x) \degree[/tex]

and 0°<x<90°

Recall that the sine and cosine are complementary trigonometric ratios.

Hence cos x = sin (90-x)

Our equation now, becomes;

[tex] \sin(90 - x) \degree= \sin(20 + x) \degree[/tex]

We now equate the argument to get,

[tex]90 - x=20 + x[/tex]

Group similar terms to obtain:

[tex]90 - 20 = x + x[/tex]

[tex]70 = 2x[/tex]

This implies that,

[tex]x = 35 \degree[/tex]

Answer:

The x intercept is where Adam made 0 commission for x number of sales.

Step-by-step explanation:

The x intercept is where the line crosses the x axis. It has a point (a,0) where y=0. In this model y is Adams total commission and x is his total sales. The x intercept is where Adam made 0 commission for x number of sales.

Answer:

1/4 would be your answer

Step-by-step explanation:

There are four other pieces (I think)

Answer:

Option A.  [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Two boxes contains the following pieces of chalk of the same size.

Red = 2

Yellow = 1

Green = 4

White = 3

Blue = 2

Each box contains = 2 + 1 + 4 + 3 + 2  = 12 pieces of chalk of the same size.

There are total pieces of chalks are 12 and white chalks are 3 in each box.

If one piece of chalk will be randomly selected from each box.

The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]

The probability of second box =  [tex]P_{2}=\frac{3}{12}[/tex]

Therefore,  P =  [tex]p_{1}[/tex] × [tex]p_{2}[/tex]

                   P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]

                   P = [tex]\frac{1}{4}[/tex] ×  [tex]\frac{1}{4}[/tex]

                   P = [tex]\frac{1}{16}[/tex]

The probability that both pieces will be white is  [tex]\frac{1}{16}[/tex] .

A linear equation is an equation in which each term has at max one degree. The correct option is B.

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Since the equation is in the form of a linear equation it can be concluded that the model is linear.

Comparing the equation with a linear equation,

t = 350 + 700m

y = C + mx

The slope of the equation is 700, while the y-intercept is 300.

Hence, the correct option is B.

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Answer:

y = 2x + 4

slope: 2

y-intercept: (0,4)

Step-by-step explanation:

to find the slope and y-intercept of the two points, we can use the following formula:

y2 - y1/ x2 - x1 = slope

to solve, we plug in the values into the equation

we will treat (0,4) as x1, y1 and (7,18) as x2, y2

y2 - y1 = 18 - 4 = 14

x2 - x1 = 7 - 0 = 7

14/7 is the slope, but we can simplify as 14/7 is equal to 2

so the slope is 2 (can also be said as 2/1)

we can now put the following slope into slope-intercept form (y=mx+b)

y = 2x + b < b is the slope, we so we need to solve for b

looking at our points (0,4) and (7,18), we see that we have the y-intercept, as the y-intercept has the x-coordinate 0, and any y-coordinate. the y-intercept is (0,4)

but if we dont have the y-intercept that easily, we can plug in any coordinate that we are given into the equation and solve for b. for this example, ill use (0,4) to plug into the equation

4 = 2(0) + b

4 = b

the y-intercept is 4

the final equation would be the following:

y = 2x + 4

The equation of the line that passes through two points (0, 4) and (7, 18) is y = 2x + 4.

To determine the equation of the line using the given information, we first need to find the slope and y-intercept. The slope of a line can be calculated using the formula:

slope (m) = (change in y-coordinates) / (change in x-coordinates)

Using the points (0, 4) and (7, 18), we can calculate the slope:

slope (m) = (18 - 4) / (7 - 0) = 14 / 7 = 2

So, the slope of the line is 2.

Next, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we can substitute one of the points into the equation and solve for b.

Using the point (0, 4):

4 = 2(0) + b

b = 4

Therefore, the y-intercept (b) is 4.

Finally, we can write the equation of the line:

y = 2x + 4

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Answer:

2.09 sq. units

Step-by-step explanation:

We can simply use the formula for area of a sector of a circle.

Area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where  [tex]\theta[/tex] is the angle and r is the radius.

It is given that the angle is 15 and radius is 4. We plug them in and find the area:

[tex]\frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09[/tex]

Thus area of sector is 2.09  sq. units.

Answer:

2pi/6

Step-by-step explanation:

If you convert the degrees to radians (15 degrees theta) you get:

15/1 * pi/180 --> =15pi/180 then you multiply by the radius --> 15pi/180 *4/1

this gives you 60pi/180 (don't forget to reduce) =2pi/6

(Sorry this is so confusingly written out. I wish I could have just shown you on paper but just remember that all of the "/" mean a fraction! :) )

2* radius* pie

Step-by-step explanation:

first you times 2 by the radius, then you times that answer by 3.14.

hoped this helped a little

$18.51 would be the correct answer!

31-3x+19x-5=90

26+16x=90

-26 -26

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

16x= 64

16x/16= 64/16

x=4

m <R=19 (4)-5= 71.

Answer:

Step-by-step explanation:

90=(31-3x)+(19x-5)

90=31-3x+19x-590=19x-3x+31-5

90=16x+26

90-26=17x

64=4x

x=4

m∠R=19(4)-5

m∠R=76-5

m∠R=71