A manufacturer determines that the cost of making a computer component is ​$4.171717 Write the repeating decimal cost as a fraction and as a mixed number.

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

[tex]tanx=\frac{7.6}{8.6}[/tex]

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

Answer:

The answer to this is a, b, d, e

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Answer: (2+v) =3; v =10 pounds of chopped vegetables.

Step-by-step explanation:

the answer is:

a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

F = 1/T

Step-by-step explanation:

In order to solve for F, you would need to isolate F.

(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side

FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated

F = 1/T

Hope this helps!

Answer:

F = 1/T

Step-by-step explanation:

T= 1/F

USING CROSS MULTIPLICATION TECHNIQE

T(F) = 1

DIVIDE BOTH SIDES BY T

F = 1/(T)

Answer:

-20xy -8y+26

Step-by-step explanation

First Multiply 2 by 3.

6 + 10 x 2 - 4 x (2y) - 20xy

Then Multiply 10 by 2.

6+20-4x(2y)-20xy

After that Multiply 2 by -4.

6+20-8y-20xy

Lastly add 6 and 20.

26 -8y -20xy

Answer:

3m(1-2m)(1+2m+4m^2)

Step-by-step explanation:

Answer:

3m(1-2m)(4m²+2m+1)

Step-by-step explanation:

3m - 24m⁴   (factorize 3m)

=3m(1) - 3m(8m³)

= 3m (1-8m³)

=3m (1³ - 2³·m³)

=3m [ 1³ - (2m)³ ]

recall the cubic formula:

a³ + b³ = (a+b)(a² - ab + b²)

if we apply this to [ 1³ - (2m)³ ], we will eventually get

= 3m(1-2m)(4m²+2m+1)

edit: last step got cut off. fixed

edit 2: by request, i added more detail to the last 2 steps

Answer:230

Step-by-step explanation:

5 x 23= 115

115 x 2= 230

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

Answer: 24

Step-by-step explanation:

R= 3

You can find this using simple algebra

The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have a triangle shown in the picture.

It is required to find the measure of the RA

To find the measure of the RA we can apply the concept of congruent triangle:

In the triangle LRU and triangle LAU

LU = LU (common side)

LR = LA (equal sides)

Angle RLU = Angle ALU (equal)

The triangles are congruent.

RU = UA

18 - 2r = 4r

6r  = 18

r = 18/6 = 3

The measure of the RA = 18 - 2r + 4r = 18 + 2r

The measure of the RA = 18 + 2(3) = 18+6 = 24 units

Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

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Answer:

6 hours

Step-by-step explanation:

We can use ratios to solve

10 hours           x hours

-------------- = -------------

15 logs            9 logs

Using cross products

90 = 15x

Divide by 15

90/15 = 15x/15

6 = x

6 hours

Answer:

Below

Step-by-step explanation:

Jovie has maintained the fire burning with 15 logs for 10 hours.

● 15 => 10

Let's find how many hours do 9 logs keep the fire burning.

Let x be that time

● 9 => x

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 15 => 10

● 9 => x

● 15 * x = 9×10

● 15x = 90

● x = 90/15

● x = 6

So the time that the fire will keep burning is 6 hours.

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

Answer:

C...11 manicure X cost of each manicure

11x

46.75 is her tips

total is 11x+46.75

Answer: y= 11x+46.75

Step-by-step explanation:

We know that Kelly did 11 manicures, we don't know how much each manicure costs so we will say that each manicure costs x amount of dollars. If Kelly receives $46.75 in tips and we need to figure out how much she made in total, we add together the tip amount and the cost of the 11 manicures. Which should look like, 11x+46.75=y

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

Answer:

486 ft²

Step-by-step explanation:

If the cube volume is 729 ft³, then the length of one side is

∛(729 ft³) = 9 ft.

The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².

Label each side with '81 ft²'

Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²

Answer:

See below.

Step-by-step explanation:

Horizontal lines have the equation:

[tex]y=n[/tex]

Where n is the value the horizontal line stays on.

Vertical lines have the equation:

[tex]x=n[/tex]

Where n is the value the vertical line stays on.

For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:

[tex]x=-5 \text{ and } x=8[/tex]

For the two east-west lines, one of them stays on -7 and the other stays on 4.

Therefore, the two horizontal line equations are:

[tex]y=-7 \text{ and } y=4[/tex]

Answer:

D) 12

Step-by-step explanation:

the graphs slope is 3 using the rise over run method we have found this

now since we know the fifth x value gives a y value of 9 we can add 3 and have 12

Answer:

One-fourth n + 8 = 16

Step-by-step explanation:

basically 1/4n +8=16

Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

Answer:

Hey there!

What we know:

What we would like to know:

First, let's find AB.

Sine 58= AB/65

Solving for AB, we see that it is about 55.12 m.

Next, let's find BD.

Sine 42= BD/55.12

Solving for BD, we see that it is about 36.88 m.

Let me know if this helps :)

Answer:

MON = 130°

Step-by-step explanation:

LOM + MON = 180°

In other words

4z + 30° + 8z + 90 = 180°

12z + 120 = 180

60 = 12z

z = 5

5 x 8 = 40 + 90 = 130°

Answer:

∠MON = 130º

Step-by-step explanation:

∠LON = ∠LOM + ∠MON

∠LON = 180º

180 = (4x + 30) + (8x+ 90)

combine like terms

180 = 12 x + 120

60 = 12x

x = 5

plug x into equations.

∠MON = 8(5) + 90

∠MON = 40 + 90

∠MON = 130º

check work:

∠LOM = 4(5) + 30

∠LOM = 20 + 30

∠LOM = 50

∠LON = ∠LOM + ∠MON

180 = 50 + 130

The x term has a coefficient of 4. Take half of this to get 2, then square it to get 4. This is the value we add to both sides to get x^2+4x+4 = 5. Note how x^2+4x+4 factors into (x+2)^2

---------

Another example: Let's say we started with x^2+6x = 1. To complete the square, we need to add 9 to both sides. I start with 6 (the x coefficient) and cut that in half to get 3, then I squared that to get 9. So we add 9 to both sides getting x^2+6x+9 = 10 which becomes (x+3)^2 = 10

The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.

In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.

For example

Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.

Given :

x²+4x=1

as, the x has coefficient 4.

so half the coefficient of x and add and subtract the square of the remaining.

x²+4x + 2 ² - 2² =1

Now, make the whole square term

x²+4x + 2 ² - 4 - 1=0

( x + 2)² -5= 0

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35m is the answer to the problom        

Answer:

the correct answer is 13

Step-by-step explanation:

i got it correct on the test, hope this helps:)) !

Answer:

The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Step-by-step explanation:

We are given that Carly is traveling to visit family.

She drive distance on first day = x

She drive distance on second day = y

We are also given that Carly is travelling a total of 800 miles.

So,x+y=800

We are supposed to find domain and range of this relationship.

y=800-x

Domain : (-∞,∞)

Range:(-∞,∞)

Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Answer:

domain: 0 ≤ x ≤ 800

range: 0 ≤ y ≤ 800

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

You will need the following identities to prove this:

[tex]\tan\ (\alpha-\beta)=\dfrac{\tan \alpha-\tan \beta}{1+\tan \alpha\cdot \tan \beta}[/tex]

[tex]\cos\ 2\alpha=\cos^2 \alpha-\sin^2\alpha[/tex]

LHS → RHS

[tex]\dfrac{2\tan\ (45^o-A)}{1+\tan^2\ (45^o-A)}\\\\\\=\dfrac{2\bigg(\dfrac{\tan\ 45^o-\tan\ A}{1+\tan\ 45^o\cdot \tan\ A}\bigg)}{1+\bigg(\dfrac{\tan\ 45^o-\tan\ A}{1+\tan\ 45^o\cdot \tan\ A}\bigg)^2}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan\ A}{1+\tan\ A}\bigg)}{1+\bigg(\dfrac{1-\tan\ A}{1+\tan\ A}\bigg)^2}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{1+\bigg(\dfrac{1-2\tan\A+\tan^2 A}{1+2\tan A+\tan^2A}\bigg)}\\[/tex]

[tex]=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\dfrac{(1+2\tan A+\tan^2A)+(1-2\tan A+\tan^2 A)}{1+2\tan A+\tan^2A}}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\dfrac{2+2\tan^2A}{1+2\tan A+\tan^2A}}\\\\\\=\dfrac{2\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{2\bigg(\dfrac{1+\tan^2A}{(1+\tan A)^2}\bigg)}\\\\\\=\dfrac{\bigg(\dfrac{1-\tan A}{1+\tan A}\bigg)}{\bigg(\dfrac{1+\tan^2A}{(1+\tan A)^2}\bigg)}[/tex]

[tex]=\dfrac{1-\tan A}{1+\tan A}}\times \dfrac{(1+\tan A)^2}{1+\tan^2A}\\\\\\=\dfrac{1-\tan^2 A}{1+\tan^2 A}\\\\\\=\dfrac{1-\dfrac{\sin^2 A}{\cos^2 A}}{1+\dfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{\bigg(\dfrac{\cos^2 A-\sin^2 A}{\cos^2 A}\bigg)}{\bigg(\dfrac{\cos^2 A+\sin^2 A}{\cos^2 A}\bigg)}\\\\\\=\dfrac{\cos^2 A-\sin^2 A}{\cos^2 A+\sin^2 A}\\\\\\=\dfrac{\cos^2 A-\sin^2 A}{1}\\\\\\=\cos^2 A-\sin^2 A\\\\\\=\cos 2A[/tex]

cos 2A = cos 2A   [tex]\checkmark[/tex]

Answer:-9c3w5-36c6w8-36c9w15

Answer:

-27c⁹w¹⁵ the last choice

Step-by-step explanation:

Simplifying:

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k

Answer:

1. 1.3778  2. 0.0089

Step-by-step explanation:

to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.

so 1x0.83x1.66= 1.3778

you can always convert the fraction into decimal to help you calculate the problem.

i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.

it is 5 by 10 so there are 150 cubes in total.

1.3378 divided by 150=0.0089

im confident about the 1st but not so much with the second

The volume of the rectangular prism is: 1.39 ft³

The volume of one of the small cubes is: 0.0046 ft³

Volume of rectangular prism = length × width × height

Given the following:

Length = 1 ft

Width = 5/6 ft

Height = 1⅔ ft

Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3

Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³

Length of the edge of 1 cube = 1/6 ft

Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³

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