(2) Answer.. A frog is sitting at the bottom of a well 31 m deep. During the day when he climbs the wall but is only able to climb 6 m but at night with the heavy rains he slides back down 4 m. Identify how long it will take the frog to get out of the well if the same pattern continues everyday?​

Answer: Ez Neither

Step-by-step explanation:

===================================================

Explanation:

Rule: The diagonals of any rectangle are the same length.

Because of that rule, we can say

NQ = PR

(NK) + (KQ) = (PK) + (PR)

(x+4) + (2y+5) = (2x+1) + (4y+3)

x+2y+9 = 2x+4y+4

x+2y-2x-4y = 4-9

-x-2y = -5

x+2y = 5

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

Rule: The diagonals of any rectangle cut each other in half (aka bisect each other)

So the pieces NK and KQ are the same length.

NK = KQ

x+4 = 2y+5

x = 2y+5-4

x = 2y+1

Plug this into the previous equation we found. Solve for y.

x+2y = 5

(2y+1) + 2y = 5

4y+1 = 5

4y = 5-1

4y = 4

y = 4/4

y = 1

Then use this to find x

x = 2y+1

x = 2*1+1

x = 3

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

We now have enough info to find the length of each segment.

Furthermore,

We get identical segment lengths, which helps confirm the correct answer.

Answer:

5y

Step-by-step explanation:

In algebra when an unknown number (symbolized by a letter in the alphabet) is side by side with another number, it means it's multiplying.

Answer:

There is no image attached

Answer:

[tex]a=0.8\bar{3}m/s^2[/tex]

Step-by-step explanation:

[tex]a=\frac{v}{t} \\a=\frac{25m/s}{30s}\\ \\a=0.8\bar{3}m/s^2[/tex]

Answer:

12 dozen

Step-by-step explanation:

create a proportion of: dozen cookies / cups of pecan

let 'd' = dozen cookies

(3/1 ÷ 5/4) = (d ÷ 5)

simplify 3/1 ÷ 5/4 to be:  3/1 x 4/5, which equals 12/5

12/5 = d/5

cross-multiply to get:

5d = 60

d = 12

Step-by-step explanation:

we just do the multiplications that squaring is :

(x² + y²)² = (x² + y²)(x² + y²) =

= x⁴ + x²y² + x²y² + y⁴ = x⁴ + 2x²y² + y⁴

(x² - y²)² + (2xy)² = (x² - y²)(x² - y²) + 2xy×2xy =

= x⁴ - x²y² - x²y² + y⁴ + 4x²y² =

= x⁴ - 2x²y² + y⁴ + 4x²y² =

= x⁴ + 2x²y² + y⁴

as you can see, both results are the same.

therefore, the original equation is a true identity.

Answer:

72 males

Step-by-step explanation:

female=1/4

male=4/4-1/4=3/4

       =3/4 of 96

       =72 males

OR

Females=1/4 of 96=24

males=96-24=72

Answer:

x=14

Step-by-step explanation:

The interior angles of a regular decagon are the same and add up to 1440.

10(10x+4)=1440

Answer

8(40-y) + 6y =300

320 - 8y + 6y =300

-2y=-20

y=10

This leaves x to be 30.

You should spend 30 minutes on machine 1 and 10 minutes on machine 2.

Step-by-step explanation:

Answer:

The area is 64ft ^2.

Step-by-step explanation:

I believe this is an isosceles triangle and if so our base will be 16ft and our height will be 8ft, knowing this we can solve for the area.

Use the form A=bh/2

Now plug it in...

A=16x8/2

A=128/2

A=64ft ^2

Hope this helps :)

You can use the fact that the middle area can be found by subtracting internal area from the total area.
The amount of wood(in area, assuming almost flat) needed by the carpenter to build the frame is given by

Option A: 5.5π + 106 sq. inches.

The middle area can be found by subtracting internal area from the total area.
For example, if you've got a big circle, and a small circle inside that big circle, and you want the remaining area in the big circle not occupied by smaller circle, then we have

Remaining area = Area of bigger circle - Area of smaller circle

The diagram is attached below.

The wooden region between those two semicircles in the top is of this below area

Area of bigger semicircle - Area of smaller semicircle.

Since bigger semicircle has 6 inch radius and smaller has 1 inch less(since width of the wood is 1 inch everywhere) which is 5 inch radius, thus,

As area of semicircle with radius r units is [tex]\dfrac{\pi r^2}{2} \: \rm unit^2[/tex]

Thus,

Area of wood between two semicircles = [tex]\pi \times 6^2/2 - \pi \times 5^2/2 = \pi \times 11/2 = 5.5\pi \rm \: \: inch^2[/tex]

Area of the wood in the bottom of the window = area of rectangle GLMH

Since |GL| = |HM| = 1 inch and |LM| = 12 inches, thus, as

Area of rectangle = length times width

thus,

Area of GLMH = [tex]1 \times 12 = 12 \rm \: inch^2[/tex]

Remaining wood is as rectangle ABGE and CDFH

Since we have |AL| = 48 inches but |GL| = 1 inch, thus, |AG| = 47 inches(1 less than |AL|

Also, since |GE| = 1 inch wide, thus,

Area ABGE = [tex]1 \times 47 = 47 \: \rm inch^2[/tex]

Similar to above case, we have

Since we have |DM| = 48 inches but |HM| = 1 inch, thus, |DH| = 47 inches(1 less than |DM|

Also, since |FH| = 1 inch wide, thus,

Area CDFH = [tex]1 \times 47 = 47 \: \rm inch^2[/tex]

Thus, total wood used(in terms of area) = Area CDFG + Area ABCD + Area of bottom rectangle GLHM + Area of the internal of two semicircles on top ADCB(thick arc like shape)

or

Total area of wood = 47 + 47 + 12 + 5.5π = 5.5π + 106 sq. inches.

Thus,

The amount of wood(in area, assuming almost flat) needed by the carpenter to build the frame is given by

Option A: 5.5π + 106 sq. inches.

Learn more about area of semicircle here:

https://brainly.com/question/3143386

Step-by-step explanation:

9. 6x + 14

10. 5x + 12

11. 15x + 12y

12. -16f + 27

13. 39n + 24

Answer:

9.) 6x + 14

10.) 5x + 12

11.) 15x + 12y

12.) 27 - 16f

13.) 39n + 24

14.) 61m + 14

15.) 7x +6y

16.) 22n + 12

17.) 13x + 10y

18.) -6x + 15y +34

Step-by-step explanation:

2 times 3x, 2 times 4, plus 6

6x + 8 + 6

6x + 14

Answer:

(e+8)°+(3e-4)°=180°

4e+4=180

4e=180-4

4e=176

e=176/4

e= 44°

e+8=44+8=52

Answer:

17x(1 -2y)

Step-by-step explanation:

34xy = 17x * 2y

17x - 34xy = 17x - 17x*2y

                 =17x( 1 - 2y)

Answer:

beto and mark

Step-by-step explanation:

beto

3m = 3m+5

solving it we get

5=0

mark

6-n = -n+2

solving it

4=0

Answer:

22/40 or 11/20 or 55%

Step-by-step explanation:

First, we have to find the total number of students.

18+22=40

The percentage of girls in the class is 22/40.

That's also the probability of the absentee being a girl.

Answer:

117

Step-by-step explanation:

4 : 9 = 52 : 117

Since

4 : 9 = 52 : X

Then we know

9/4 = X/52

Multiplying both sides by 52 cancels on the right

52 × (9/4) = (X/52) × 52

52 × (9/4) = X

Then solving for X

X = 52 × (9/4)

X = 117

Therefore

4 : 9 = 52 : 117

Answer:

2b

Step-by-step explanation:

The greatest common factor is the largest factor shared by the set of terms.

In this case, you will divide 2b from both terms:

[tex]\frac{8b^2}{2b} = 4b\\ \frac{10b}{2b} = 5 \\\\GCF: 2b[/tex]

Short Answer:

x = 150

y = 120

z = 30

Long Answer:

x (exterior angle theorem) -> 95+55= 150

y (linear pair theorem/supplementary angles)-> 180-55= 120

z (linear pair theorem/supplementary angles) -> 180-150=30

Hope this helps

Answer:

2m−7n

Step-by-step explanation:

Let's simplify step-by-step.

6(m−2n)−(4m−5n)

Distribute the Negative Sign:

=6(m−2n)+−1(4m−5n)

=6(m−2n)+−1(4m)+−1(−5n)

=6(m−2n)+−4m+5n

Distribute:

=(6)(m)+(6)(−2n)+−4m+5n

=6m+−12n+−4m+5n

Combine Like Terms:

=6m+−12n+−4m+5n

=(6m+−4m)+(−12n+5n)

=2m+−7n

Answer:

(x-6)

Step-by-step explanation:

There are many ways to divide this, one of them is done below.

(x^2-11x+30)/(x-5)

Factorize (x^2-11x+30),

(x^2-6x-5x+30)
(x(x-6)-5(x-6))
(x-5)(x-6)

We have,

(x^2-11x+30)/(x-5)
(x-5)(x-6)/(x-5)

(x-5) cancel each other,

(x-6)

You can also use synthetic division, traditional division or other methods of division.

Answer:

4m

Step-by-step explanation:

3m is the side length touching both triangles in the right picture, or the line directly left of the red line

4m is the side going up from the right angle, and the red line

5m is the diagonal line, which would be two lines to the left of the red line

6m is the height of the prism, or the line perpendicular to the red line

Answer:

1

Step-by-step explanation:

1 to any power is itself

Answer:

Step-by-step explanation:

Start with the distance formula:

√[(x2-x1)2+(y2-y1)2]

Plugging your x and y values in you get:

√[(-8.3-2.8)2+(9.6-(-1.8))2]

Simplify inside before you square:

√[(-11.1)2+(11.4)2]

√(123.21)+(129.96)

√(253.17)

15.911

Answer:

C

Step-by-step explanation:

In a Pythagorean triple the square on the longest side is equal to the sum of the squares on the other 2 sides.

A

longest side = 10 ⇒ 10² = 100

6² + 8² = 36 + 64 = 100

A is a Pythagorean triple

B

longest side = 17 ⇒ 17² = 289

8² + 15² = 64 + 225 = 289

B is a Pythagorean triple

C

longest side = 9 ⇒ 9² = 81

5² + 8² = 25 + 64 = 89

89 ≠ 81

C is not a Pythagorean triple

D

longest side = 13 ⇒ 13² = 169

5² + 12² = 25 + 144 = 169

D is a Pythagorean triple

Hue is arranging chairs. She can form 2 rows of a given length with 5 chairs left over, or 6 rows of that

same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in

that row length. In your equation, use the variable x to represent the number of chairs in each row.

The equation is

There are

chairs in each row.

Let, no. of chairs in each row = x

There are 2 rows of given length with 5 chairs left over.

6 rows of the same length if given 11 more chairs 2x+5 will be equal to 6x

If 11 chairs are added to 2x+5 because 6x has 11 more chairs than 2x+5

=> 2x+5+11 = 6x

=> 2x+16 = 6x

=> 4x = 16

=> x = 16/4

=> x = 4

x=4 chairs in each row with 5 left over makes 2*4+5 = 13 chairs

add 11 chairs to 13 chairs and you get 24 chairs which is 6 rows of 4 chairs in each row.

HOPE IT HELPS

Step-by-step explanation:

A rectangle: P=2l+2w or P=2(l+w) (same formula written differently)

50=2x17+2w

50=34+2w

2w=50-34

2w=16

w=16÷2=8

Since it says twice as wide then we will multiply w with 2

2xW

2x8=16 which is the width of the 2nd rectangle

Hope this helps :)

Answer:

104,943.60

Step-by-step explanation:

40% of 395 is 158. the remainder of the students (the 60%) pays for their lunch instead of packing. 60% of 395 is 237, so 237 students pay for their lunch. if 237 students spend $2.46 for lunch each day for 180 days, the school would collect 104,943.60 .