At what rate has she been making deposits to her savings?

The length of a diagonal of the square is 21cm.

A square can have two diagonals. Each of the diagonal can be formed by joining the diagonally opposite vertices of a square.

A square has a side length of 15 cm.

The following is closest to the length of a diagonal of the square is;

[tex]\rm d^2 =15^+15^2\\\\d^2=225+225\\\\d^2=450\\\\d=21[/tex]

Hence, the length of a diagonal of the square is 21cm.

Learn more about diagonal here

https://brainly.com/question/14735698

#SPJ2

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Answer:

Step-by-step explanation:

It's rational because it doesn't have a continuous decimal. -51/2 is -25.5

Answer:

I believe it is ration since a rational number is any interger, fraction, or repeating decimal.

Step-by-step explanation:

Answer:

a 5 gallon bucket

Step-by-step explanation:

its because if you multiply it by 5

Answer:

The slope is 1/2

Step-by-step explanation:

The equation is y= 1/2x +2

So the slope would be 1/2

Answer:

The volume of existing cage = length x widht x height = 3 x 2 x 3 = 18 cubic ft

Now she wants cage with volume four times of this cage

New Volume = V1 = 18 x 4 = 72 cubic ft

Keeping length same = 3 ft

Length x width x height = V1

3 x Width x height = 72

Width x height = 72 /3

Width x height = 24

Now multiple of 24 must be the width and height.

Taking width = 6 ft and height = 4 ft, we will get our answer

Proof:

Length x width x height = V1

3 x 6 x 4 = 72

Answer:

Step-by-step explanation:

arc KL = 60°

arc LNK = 360° - 60°

arc NJK = 180°

angle JQN = 60°

arc JN = 60°

arc JM = 60°+55° = 115°

arc MN = 55°

arc MKN = 360° - 55° = 305°

arc JML = 180°

angle MQL = 180° - 55° - 60° = 65°

arc ML = 65°

arc LN = 55° + 65° = 120°

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

The answers is x=3

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

May i please have a brainless Thank you.

7 x 3 = 21 so it is 21 ft cm your welcome

Answer:

The answer is C = 63π

Step-by-step explanation:

V = πr2 h

V = π (3)2 x 7

V = π (9) (7)

V = 63 π

Answer:

False

Step-by-step explanation:

Based on what is stated in the question :

Expressing the worded equation Mathematically,

(5x - 7) / 2 = y

If y = 28

(5x - 7) / 2 = 28

Cross multiply

5x - 7 = 28 * 2

5x - 7 = 56

5x = 56 + 7

5x = 63

x = 63 / 5

x = 12.6

Hence, x ≠ 9

Answer:

x =  -9

Step-by-step explanation:

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

C. 3/5*5/3

Step-by-step explanation:

because you multiply across and get:

3 5 15

_ * _ = _

5 3 15

Which is 1 whole

I hope this helps!!!

Answer:

The relationship between AB and CD

Answer:

because a trapezoid is a quadrilateral and abcd has four sides further a trapezoid has 1 one parallel side with both sides equal

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

Answer:

The motion of a rotating beacon.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] \boxed{ \tt{s = 5x + 6y}}[/tex]

Step-by-step explanation:

[tex]let \: the \: perimeter \: be \to p \\ let \: the \: side \: be \to s \\ since \to \: p = 4s \\ then \to \: 4s = 20x + 24y \\ hence \to \: 4s = 4(5x + 6y) \\ therefore \to \: s = 5x + 6y[/tex]

Answer:

∠y = 62.5°

∠x  =  27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180      {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

  2y  + 55 = 180

          2y = 180 -55      {Subtract 55 from both sides}

          2y = 125         {Divide both sides by 2}

            y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

Answer:

See Explanation

Step-by-step explanation:

Given

Shape: Quadrilateral ABCD

Transformations:

180 degrees rotation

3 units left

7 units up

Required

Determine A′B′C′D

The coordinates of ABCD is not given; So, I will solve generally.

Assume the coordinates of ABCD is (x,y)

When (x,y) is rotated 180 degrees, the new point is: (-x, -y)

Solving further:

Translation 3 units left

When a point (x,y) is translated b units left, the new point is (x - b, y).

So:

[tex](-x, -y) ====> (-x - 3, -y)[/tex]

Translation 7 units up

When a point (x,y) is translated h units up, the new point is (x, y + b).

So:

[tex](-x - 3, -y) ====> (-x - 3, -y + 7)[/tex]

Assume that the coordinates of A in ABCD before translation is (2,6).

i.e. A = (2,6)

The image A' will be:

[tex]A' = (-2-3,-6+7)[/tex]

[tex]A' = (-5,1)[/tex]

Answer:

-9

Step-by-step explanation:

I have made it in above picture

hope it helps

Answer:

When travelling downstream, the speed of the boat and the current add up.

Let the speed of the boat is b and the speed of the current is c.

Use distance formula:

a)

Then we have equation:

b)

If c = 2, then the equation is:

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

Answer: [tex]x^{2} +3x-18[/tex]

Step-by-step explanation:

First, let's take our given (x+6)(x-3)

Now distribute

[tex]x^{2} -3x+6x-18\\combine\\x^{2} +3x-18[/tex]