A manufacturer determines that the cost of making a computer component is $3.171717. Write the cost as a fraction and as a mixed number.

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

p -> q

converse

~p-> ~q

inverse

q-> p

Contrapositve

~q-> ~p

Answer:

The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Step-by-step explanation:

Let x be one leg of the right triangle.

Since the other leg is two centimeters longer, it can be represented by the expression:

[tex]x + 2 \text{ cm}[/tex]

According to the Pythagorean Theorem, for a right triangle:

[tex]a^2 + b^2 = c^2[/tex]

Where c is the hypotenuse and a and b are the two legs.

The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:

[tex](x)^2 + (x+2)^2 = 6^2[/tex]

Solve for x. Simplify:

[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]

Simplify:

[tex]2x^2 + 4x + 4 = 36[/tex]

Subtract:

[tex]2x^2 + 4x - 32 =0[/tex]

Divide:

[tex]x^2 + 2x - 16 = 0[/tex]

The equation is not factorable, so we can consider using the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = -16. Substitute:

[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]

Lengths cannot be negative, so we can ignore the second solution.

Hence, the value of x or the first side length is about 3.1 centimeters.

Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.

In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Answer:

w=-2

Step-by-step explanation:

9(w-4)-7w=5(3w-2)

9w-36-7w=15w-10

9w-7w-15w=-10+36

-13w=26

w=-2

Answer:

B.

Step-by-step explanation:

Answer:

right angled triangles

-9 - 9 is the same that -9 + (-9)

Answer:

16 labourers complete the construction

in 30 days

Step-by-step explanation:

mark me as a brainlist answer

Answer:

13

Step-by-step explanation:

13 x 13 = 169

Answer:

Step-by-step explanation:

1) 7/10 × 2/21

1/15

2) 9/16 × 10/21

90/336

15/56

3) 11/12 × 26/55

13/30

4) 2/6 × 18/12 × 2/3

72/216

1/3

5) ⅚ × 9/10

45/60

3/4

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

Answer:

2 – 3х + 5х = 16 — 8х + 8x

2 - 8x = 16

8x = 14,

x = 1.75

Answer:

I confirm my answer : 8(cm)

Step-by-step explanation:

In the triangle OAB, BO²=AB²+AO²-2*AB*AO*cos( BAC)

cos (BAC)=9²+17²-10²/(2*9*17)=15/17

AC/AO=cos(BAC) ==> AC=17*15/17=15

OC²=AO²-AC²=17²-15²=64

OC=8 (cm)

Answer:

35/48

Step-by-step explanation:

You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of  bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)

Answer:

The slope is -⅔ [ negative slope ]

Step-by-step explanation:

Consider two points spotted from the graph.

That is (3, 0) and (0, 2)

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]

y1 is 0

y2 is 2

x1 is 3

x2 is 0

substitute:

[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]

Answer:

x=3

Step-by-step explanation:

Add 2x and 3x

5x-5=25-5x

move -5x to the other side by adding 5x on both sides:

10x-5=25

Add 5 on both sides:

10x=30

Divide 10 on both sides:

x=3

Hope this helps!

Answer:

Step-by-step explanation:

5x - 5 = 25 - 5x

10x - 5 = 25

10x = 30

x = 3

Answer:

hey friend

what's your question

Answer:The answer is in the attached file below

Step-by-step explanation:

Answer:

angle 7=100 ,angle 8=80

Step-by-step explanation:

For angle 7:

By using definition of alternate interior angles:

angle 4=angle 6

Subtitute values of angles:

x+2y=3y+20

x+2y-3y=20

x-y=20.......(1)

Now by using definition of alternate opposite angles:

angle 4= angle 2

angle 2=x+2y

Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.

2x+y+x+2y=180

3x+3y=180

x+y=60......(2)

Add (1) and (2):

x-y=20

x+y=60

_______

2x=80

x=40

subtitute x=40 in (2):

40+y=60

y=60-40

y=20

For angle 7:

By using definition of alternate exterior angle:

angle 1=angle 7

angle 7=2x+y

subtitute x and y:

angle 7=2(40)+20

=100

For angle 8:

By using definition of alternate opposite angle:

angle 8=angle 6

angle 8= 3y+20

angle 8=3(20)+20

=80

7x-3x = 20

Simplify by subtracting:

4x = 20

Divide both sides by 4:

X = 5

Answer:

7x-2x=20

6x=20

6x÷6=20÷6

x=16.67

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

Answer:

104

Step-by-step explanation:

solution :

AC = 72

BC = 32

AB = AC + AC

= 72+32

= 104#

Am i right ?

Answer:

[tex]3(x-1)^2 +6[/tex]

Step-by-step explanation:

Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].

Factor out 3.

[tex]3(x^2 -2x+3)[/tex]

Add and subtract [tex]\left(-1\right)^2\:[/tex].

[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]

You dont have to write this section down but its for notes:

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]

Continue writing this down to show work:

Complete the square

[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]

Simplify

[tex]3\left(x-1\right)^2+6[/tex]

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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Answer:

4/15

Step-by-step explanation:

[tex]\frac{\frac{4}{5} }{3}=\frac{4}{5}(\frac{1}{3})=\frac{4}{15}[/tex]

The distance between the two points (7, - 1) and (9, - 9) is,

d = √68

We have to given that,

To find the distance between the two points (7, - 1) and (9, - 9)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

The distance between the two points (7, - 1) and (9, - 9) are,

d = √ (9 - 7)² + (- 9 + 1)²

d = √4 + 64

d = √68

Therefore, the distance between the two points (7, - 1) and (9, - 9) is,

d = √68

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Answer:

2a )  4/-13

2b)   6/5

Answer:

x = -10

y = 20

Step-by-step explanation:

y = -2x

so

substituting the value in equation ii

3x + 4y = 50

or, 3x + 4(-2x) = 50

or, 3x + (-8x) = 50

or, 3x-8x = 50

or, -5x = 50

so, x = -10

so

y = -2x

or, y = -2*(-10)

so, y = 20

a) 20(x)=y

b) $120

Let x= number of hours

Let y= Cost of labor

20 will remain constant, what matters is how many hours are being worked. If it's $20 per hour then it's safe to assume 1 hour is 20 dollars worth of labor. Due to it being per hour you have to multiply the rate by however many hours worked to get your final cost.

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements:                                                          Reasons:

[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex]                                  Given

[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex]                                                            Given

[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex]                                                          Given

[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex]                                                        Definition of Midpoint

[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex]                                             ASA Congruence

[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex]                                                       CPCTC              

Answer:

56

Step-by-step explanation:

There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56

[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]