The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?

25
28
42
35

Answer:

[tex]xy = 4 [/tex]

Step-by-step explanation:

Taking the first equation , we have ,

[tex]\implies x + (xy)^{\frac{1}{2}} + y = 14 \\\\\implies x + \sqrt{xy}+ y = 14 \\\\\implies x + y = 14 -\sqrt{xy}\\\\\implies (x+y)^2 = (14-\sqrt{xy})^2 \\\\\implies x^2+y^2+2xy = 196 + xy -28\sqrt{xy} \\\\\implies x^2+y^2+xy = 196 - 28\sqrt{xy}[/tex]

Now according to second equation,

[tex]\\\\\implies 84 = x^2+xy+y^2 [/tex]

Plug on this value ,

[tex]\implies 84 = 196 -28\sqrt{xy}\\\\\implies -112 = -28\sqrt{xy}\\\\\implies \sqrt{xy}=\dfrac{112}{28}\\\\\implies \boxed{\boxed{ xy = 16 }}[/tex]

On substituting this value in terms of one variable of the equation you can get the values of x and y .

Answer:

x=21 not sure if this is the answer

Answer:

34

Step-by-step explanation:

parenthesis get done first!

((5)2+(12)2)

then multiplication

(10+24)

then addition

34

Answer:

5+12+4 =21

Step-by-step explanation:

21 is the answer I think

Answer:

$898.88

Step-by-step explanation:

Answer:

we have

radius [r]=6in

height [h]=12in

Volume of cone = 1/3πr²h

Volume = 1/3 ×π × (6)² × 12=144πίn³or 452.38in³ is your answer.

Answer:

x=72 I hope I am correct have a great day:)

Answer:

The Least common multiple of 12 and 20 is 60!

Step-by-step explanation:

Hope this Helps!

Answer:

0 min 33 sec

Step-by-step explanation:

 9 min 14 sec

- 8 min 41 sec

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

 8 min 60+14 sec

- 8 min 41 sec

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

 8 min 74 sec

- 8 min 41 sec

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

0 min 33 sec

You would use the Distributive property to make the left side the same as the right side.

5(w+12) = 5w + 60

Multiply the 5 by each term inside the parenthesis.

5w +60 = 5w +60

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

Answer:

Step-by-step explanation:

Solution= V=0

Answer:

[tex] \bf \huge2[/tex]

Step-by-step explanation:

step 1 : Simplify both sides of the equation.

⟼ 11v + -15v = 8

⟼ 11v - 15v = 8

⟼ - 4v = 8

step 2 : Divide both sides by - 4.

⟼ - 4v / - 4 = 8 / - 4

⟼ v = - 1 × - 2

⟼ v = - 2.

∴ v = 2.

Radius.

Step-by-step explanation:

Answer:

Hope It Help

Step-by-step explanation:

Brainliest Please

Answer:

8). x = 9

9). x = 5

Step-by-step explanation:

Note that if you take a point outside a circle and take the two tangents, they are symmetrical. And if they're symmetrical, their lengths are equal!

8).

5x - 1 = 3x + 17

2x - 1 = 17

2x = 18

x = 9

9).

-4 + 4x = 3x + 1

-4 + x = 1

x = 5

Answer:

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Answer:

D. 16 square inches

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

  38.6 mi

Step-by-step explanation:

The law of sines applies.

  b/sin(B) = a/sin(A)

  a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)

  a ≈ 38.6 mi

Airplane b is about 38.6 miles from the airport.

_____

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).

Answer:

x=23

Step-by-step explanation:

Answer:

669cm2

correct question

Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area

Step-by-step explanation:

The side length of the hexagon should be given which is 16 cm

To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle

Base = √((16)^2 - (13.9)^2

Base = √62.29

Base = 7.92cm

Since we have gotten the base

Diagonal - the base gives the top length of the trapezium.

32- 7.92- 7.92 = 16.16

The area of the hexagon gives the 2 times of the trapezium.

To find the area of the trapezium

= 1/2 * ( a+b)h

= 1/2* ( 32+ 16.16)* 13.9

= 24.04*13.9

Area of the trapezium = 334.71cm2

= 334.71 * 2

= 669.42cm2

Hope this helps

Answer:

B

Step-by-step explanation:

Answer:

[tex] area = 380~cm^2 [/tex]

Step-by-step explanation:

[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]

[tex] \dfrac{a}{\sin 30^\circ} = \dfrac{28}{\sin 25^\circ} [/tex]

[tex] a = \dfrac{28 \sin 30^\circ}{\sin 25^\circ} [/tex]

[tex] a = 33.13 [/tex]

A + B + C = 180

30 + B + 25 = 180

B = 125

[tex] area = \dfrac{ac \sin B}{2} [/tex]

[tex] area = \dfrac{33.12 \times 28 \sin 125^\circ}{2} [/tex]

[tex] area = 380~cm^2 [/tex]

Answer:

$6.73

Step-by-step explanation:

Since it says "answer in coins" she could have 24 quarters, 7 dimes, and 3 pennies.

I believe this correct but im not exactly sure

I hope this helps :)

Answer:

$6.73 || 26 quarters, 2 dimes, 3 pennies.

Step-by-step explanation:

If this isn't what you was asking sorry.

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

[tex]\frac{3}{4}mile = 1 day[/tex]

Let's multiple it by 4.

[tex]\frac{3}{4} (4)[/tex]

Find common factor of both 4 to simplify, so of course 4.

[tex]\frac{3}{1} (1)[/tex]

Multiply across and the number should be 3! Hope that helped