There is a castle with a million dollars for anyone who can get to it first. The castle is surrounded by a moat that is square (4 equal sides) and the moat is 12ft wide at all areas. You have two 10' wooden planks, but no nails, rope, clothing or any other materials or means to put the planks together. Also, you cannot toss one to the other side, and lay one in on the shoreline and walk down into the moat and back up to the other side. think of the moat as charged with a bazillion volts of electricity. Can you get to the million dollars and the castle? ​

Answer:

1st option

Step-by-step explanation:

y = 1/2x + 2

Answer:

the first one

remember. y=mx+b

mx= slope

b= y intercept

the slope is positive and the slope is rise over run. the y intercept is when the line the y axis (doesn't matter if it is negative or positive). this makes it a positive two

Answer:

2 to the power of six times 3 cubed times seven.

Step-by-step explanation:

The prime factors of 56 are 2 cubed times 7 and the prime factors of 18 are 2 times 3 squared The prime factors of 12 are 2 squared times 3.

A factor is a number that divides another number, leaving no remainder

The highest common factor of 18, 12, and 56 using prime factors is 2.

A factor is a number that divides another number, leaving no remainder

Example: 12 = 4 x 3 where 4 and 3 are the factors of 12.

We have,

18, 12, and 56

The factors of each number are:

18 = 2 x 9, 3 x 6, 18 x 1

So the factors of 18 are 2, 3, 6, 9, and 18.

12 = 2 x 6, 3 x 4, 12 x 1

So the factors of 12 are 2, 3, 4, 6, and 12.

56 = 2 x 28, 4 x 14, 7 x 8, 14 x 4

So the factors of 56 are 2, 4, 7, 8, 14, and 28.

Thus,

The highest common factor of 18, 12, and 56 using prime factors is 2.

Learn more about factors here:

https://brainly.com/question/26941030

#SPJ2

Answer:

2.2 m

Step-by-step explanation:

Assuming that spoke refers to the radius (r) of the wheel, you can determine the circumference of the wheel using 2(pi)(r).

2 x (22/7) x 35cm

= 220cm

As this answer is in cm, it needs to be converted to m to be a correct answer. As 1m = 100cm, 220cm x 0.01 = 2.2m

Answer:

Step-by-step explanation:

if you know 50*4=200, you must also know that 50*10=500 and that 4*100=400 so 500*400= 50*10*4*100

multiplication is comutative so

50*4*10*100=200*1,000= 200, 000

Answer:

500×400=

5×4=20

=20+(4 of zero)0000

200000

=200,000

Answer:

0

Step-by-step explanation:

god made it that way

By definition of tangent,

tan(x) = sin(x) / cos(x)

so if tan(x) < 0, and we're given cos(x) = -1/4 < 0, then it follows that sin(x) > 0.

Recall the Pythagorean identity:

cos²(x) + sin²(x) = 1   →   sin(x) = + √(1 - cos²(x))

Then

sin(x) = √(1 - (-1/4)²) = √(15/16) = √(15)/4

Recall the double angle identity:

sin(2x) = 2 sin(x) cos(x)

Then

sin(2x) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8

Answer:

D

Step-by-step explanation:

3.19 become 3.20 . 1.69 becomes 1.70. Then 3.20 plus 1.70 is 4.90 or 4.9.

Answer:

D. 4.9

3.19 -> 3.2

1.69 -> 1.7

3.2 + 1.7 = 4.9

Answer:

-9/8

Step-by-step explanation:

m=y2-y1/x2-x1

9-18=(-9)

9-1=8

-9/8

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

(x₁, y₁ )  = (1 , 18 )          &   (x₂ , y₂) = ( 9 , 9)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x-{1}}\\\\[/tex]

        [tex]= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\[/tex]

Answer:

x = 4

Step-by-step explanation:

3(2x + 5) = 39

Distribute;

6x + 15 = 39

Subtract 15 from both sides;

6x = 24

Divide both sides by 6;

x = 4

Answer:

Is there any answer choices?

Step-by-step explanation:

Answer:

Both ate 52 degrees

Step-by-step explanation:

You can find the measure of angle 5 by subtracting 128 from 180, which equals 52. From there you can deduct that angles 3 and 1 are congruent to 5, making them both 52 degrees.

Answer:

No, the student did not check the solution to the derived equation in the original equation.

No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.

No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.

Step-by-step explanation:

just did on edge good luck!

The student is wrong in his answer to the equation

3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.

3/a + 2 - 3 - 4 = 1/a - 2.

3/a - 1/a = 3.

2/a = 3.

a/2 = 1/3.

a = 2/3.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

Answer:

Perimeter of his fence = 120 m

Step-by-step explanation:

Given:

Area of square land = 3,600 m²

Find:

Perimeter of his fence

Computation:

Area of square land = 3,600 m²

4a² = 3,600 m²

a² = 900 m²

a = 30 m

Perimeter of his fence = 4a

Perimeter of his fence = 4 x 30

Perimeter of his fence = 120 m

The ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats is, 1/4

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Felipe makes 3 batches of dog treats

The recipe for peanut butter dog treats,

(Ingredient)                 (amount)

Peanut butter              4 tbsp

Flour                             1 cup

Egg                               1

Water                           2 tbsp

For 3 batches

Peanut butter required = 3 × required for one batch

                                       = 3 × 4

                                       =  12 tbsp

Flour Required               =  3 × required for one batch

                                       =  3 × 1

                                       =  3

the ratio of cups of flour to tablespoons of peanut butter =  3/12

                                                                                                =  1/4

Hence, the ratio is 1/4

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ5

Answer:

15 weeks

Step-by-step explanation:

850-250= 600

40*15= 600

Answer:

(4n + 5)(4n+5)

16n^2+20n+20n+25

16n^2+40n+25

Answer is option D.

Mark brainliest!!

Answer:

D

Step-by-step explanation:

Answer:b,c,e

Step-by-step explanation:

I got it on edg 2020

Answer:

B C D

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]\frac{60}{20}[/tex] = 3, so if it varies directly with x then its 4 x 3 which is 12

Answer:

12

Step-by-step explanation:

I took the test thats the correct answer

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Arrow shows to the right which means all numbers equal to 18 and greater than 18

Answer:

A"(-1, -3), B"(-2, -6), C"(1,-7)

Step-by-step explanation:

y= -4 is a horizontal line that cuts y-axis at (0, -4)

A'(-4, -5), B'(-5,-2), C'(-2,-1) are given on thhe graph

first we reflect over the line m, y= -4

A"(-4, -3), B"(-5, -6), C"(-2,-7) because the line m is the bisector of what conects the image and preimage points

second we translate T(3,0) so you add a 3 to the x coordinate of each point

A"(-4+3, -3), B"(-5+3, -6), C"(-2+3,-7)

A"(-1, -3), B"(-2, -6), C"(1,-7)

Answer:

2,272,542.81

Step-by-step explanation:

756756756/333=2,272,542.81

Answer:

e

Step-by-step explanation:

Answer:

definition of perpendicular bisector

Step-by-step explanation:

You need to show the entire problem including the given.

I assume the given info states that

Segment MP is the perpendicular bisector of segment NO.

If that's the case, then the reason for lengths NP and OP being equal is

"definition of perpendicular bisector"

Answer:

C = 5/9(F - 32)

Step-by-step explanation:

Given:

F = 9/5 C + 32

Convert Fahrenheit to Celsius:

Computation:

F = 9/5 C + 32

F - 32 = 9/5 C

5[F - 32] = 9C

C = 5/9(F - 32)