A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon?

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

We are given the standard form of trinomial

[tex]ax^2+bx+c[/tex]

After factorization, the form is:

[tex](px+r)(qx+s)[/tex]

We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.

Multiplying the both factors

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Comparing both forms with each other

After comparing

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

[tex]\sin(x)=\cos(90-x)[/tex]

Substuting 35 for x yields:

[tex]\sin(35)=\cos(90-35)[/tex]

Subtract:

[tex]\sin(35)=\cos(55)[/tex]

Hence, our answer is B.

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

Answer:

4

Step-by-step explanation:

it's just another way of saying find the slope

Answer:

the answer is 4:10

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041

Answer:

66 bucks

Step-by-step explanation:

take 300 and 22% then subtract that answer from 300.

Answer:

(1, 3)

Step-by-step explanation:

Answer: B. 1, 3

Step-by-step explanation: On Edge!!!!

Answer:

Step-by-step explanation:

 1    =     2  

  3      2 + x

2 + x = 3 (2)

x = 6 - 2

x = 4

The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

2 / (2 + x) = 1 / 3

Simplify the equation, then we have

2 / (x + 2) = 1 / 3

6 = (x + 2)

x = 6 - 2

x = 4

The value of the variable 'x' will be 4 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

look it up

Step-by-step explanation:

Try and find a way to look it up.

Answer:

Im gussing you are talking about this website/app you dont have to answer all the questios you ca skip them if you dont know them and find another one to answer

Step-by-step explanation:

Answer:

The answer is x = -8

Answer: 5/8

Step-by-step explanation:

When multiplying two fractions together, always try to cross-cancel if possible as your first step.

In this problem the 3 and 6 reduce to 1 and 2.

Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 5/8

Answer:

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Answer:

x=pn/m

Step-by-step explanation:

Divide both sides by m to isolate x from the other variables.

mx/m = pn/m

cancel out the m where possible.

x = pn/m

Answer: 1

Step-by-step explanation:

just did it on edg

Answer:

41.2

Step-by-step explanation:

you have to add 40.1 plus 1.1 to get you  answer

9514 1404 393

Answer:

  (a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons

  (b) 1650-20m = 570+20m; m = 27 . . . minutes

Step-by-step explanation:

(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...

  (20 gal/min)(5 min) = 100 gal

That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons

and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.

__

(b) The quantity in tower 1 is ...

  t1 = 1650 -20m

and the quantity in tower 2 is ...

  t2 = 570 +20m

These will be equal when ...

  t1 = t2

  1650 -20m = 570 +20m . . . . . equation for finding m

  1080 = 40m . . . . . . . add 20m-570

  27 = m . . . . . . . divide by 40

Step-by-step explanation:

Linear:

4x - y = 3

-6x = 3y - 17

x = y/5

non linear:

(x/2)^2 + 1 = y

y/x^2 = 4

2x^2 = 12 - 8y

Answer:9

Step-by-step explanation:

-2x+8=-10

-2x=-18

X=9

Answer:

9

Step-by-step explanation:

Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

1

0

-2x+8=-10

−2x+8=−10

−

2

+

8

−

8

=

−

1

0

−

8

-2x+8{\color{#c92786}{-8}}=-10{\color{#c92786}{-8}}

−2x+8−8=−10−8

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

9

Answer:

G

Step-by-step explanation:

LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T

Answer:

4/5

Step-by-step explanation:

find two points (i used (2,0) and (3,4))

then find the rise over run

in this case you would rise 4 and the run is 5

Answer:

Step-by-step explanation:

This is an exponential decay, because the base is fraction < 1

Answer:

(- 8, 2 )

Step-by-step explanation:

A shift of 3 left means subtract 3 from the x- coordinate

A shift of 1 down means subtract 1 from the y- coordinate

Translation rule is

(x, y ) → (x - 3, y - 1 ), thus

(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )

Answer: d n = 2p

Step-by-step explanation:

Answer:

40% were satisfied

Step-by-step explanation:

You take 1120 and divide it by 2800 to get 0.4 and 0.4 in percent is 40%

Answer:

40%

Step-by-step explanation:

2,800 surveyed  

1,120 promised to buy that car again

Assuming that this promise show they are satisfied with the car

2,800.   and 1,120

100%               x%

crossmultipy and solve

x=100*1,120/2,800=40

Answer:

0.09125%

Step-by-step explanation:

Divide 73 by 800 and you will get 0.09125

Answer:

It should be %9.75

Answer:

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = (Gross Profit / COGS) X 100.

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = [($400 – $250) / $250] X 100.

Selling Price = [(Markup X COGS) + COGS] X 100.

Selling Price = (Markup X COGS) + COGS.

Selling Price = (0.50 X $100) + $100.

Step-by-step explanation:

um i think this is the answer

Answer: can someone help with my question really need help its a test.

Step-by-step explanation:

9999999

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]