An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answer:

1/10=1/10

Step-by-step explanation:

(-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)

(-2/5)-(-1/2)=-3/5*(4-5/6)

-2/5+1/2=-3/5*(-1/6)=

-4+5/10=1/10

1/10=1/10

Answer:

a21 = -61

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

[tex]-19=a_{1}+(7-1)d[/tex]

[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

-1 = a

a21 = -1 + (21 - 1)(-3)

= -61

Answer:

-61 (Answer D)

Step-by-step explanation:

The general formula for an arithmetic sequence with common difference d and first term a(1) is

a(n) = a(1) + d(n - 1)

Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19

and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28

Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d.  We substitute this result for a(1) in the second equation:

-19 - 6d + 9d = -28.  Grouping like terms together, we get:

3d = -9, and so d = -3.

Going back to an earlier result:  a(1) = -19 - 6d.

Here, a(1) = -19 - 6(-3), or a(1) = -1.

Then the formula specifically for this case is a(n) = -1 - 3(n - 1)

and so a(21) = -1 - 3(20) = -61 (Answer D)

Answer:

Quadrilateral ABCD is a SQUARE

Step-by-step explanation:

When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.

√(x2 - x1)² + (y2 - y1)²

A (3, 1), B (4, 4), C (7, 5), D (6, 2)

Side AB = A (3, 1), B (4, 4)

√(x2 - x1)² + (y2 - y1)²

= √(4 - 3)² + (4 - 1)²

= √1² + 3²

= √1 + 9

= √10

Side BC = B (4, 4), C (7, 5)

√(x2 - x1)² + (y2 - y1)²

= √(7 - 4)² + (5 - 4)²

= √3² + 1²

= √9 + 1

= √10

Side CD = C (7, 5), D (6, 2)

√(x2 - x1)² + (y2 - y1)²

= √(6 - 7)² + (2 - 5)²

= √(-1) ² + (-3)²

= √1 + 9

= √10

Side AD = A (3, 1), D (6, 2)

√(x2 - x1)² + (y2 - y1)²

= √(6 - 3)² + (2 - 1)²

= √3² + 1²

= √9 + 1

= √10

From the above calculation,

Side AB = √10

Side BC = √10

Side CD = √10

Side AD = √10

Hence, AB = BC = CD = AD

When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.

Therefore, Quadrilateral ABCD is a SQUARE

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) =    (whole secant) x (external part)

( 7+x+2) * 7 = ( 6+8) * 6

Combine like terms

(9+x) *7 = 14*6

Distribute

63 +7x = 84

Subtract 63

63 +7x -63 = 84-63

7x =21

Divide by 7

7x/7 = 21/7

x = 3

KM = x+2+7

      = 3+2+7

      =12

Answer:

[tex]\huge\boxed{KM = 11}[/tex]

Step-by-step explanation:

According to secant - secant theorem:

(MK)(ML) = (MR)(MN)

Where

MK = 7 + x+ 2 = x + 9

ML = 7

MR = 8 + 6 = 14

MN = 6

=> (x+9)(7)= (14)(6)

=> 7x + 63 = 84

Subtracting both sides by 63

=> 7x = 84 - 63

=> 7x = 21

Dividing both sides by 7

=> x = 3

Now,

KM = x + 9

KM = 3 + 9

KM = 11

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

Explanation:

The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).

Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.

x+x+80 = 180

2x+80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

Angle 1 is therefore 50 degrees.

Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.

Answer:

m<2 = m<1 = 50°

Step-by-step explanation:

In a Rhombus, Diagonals intersect at 90° as well bisect angles.

Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.

m<1 = m<2 = 50°

The Variable d in the equation represents the time per minute Lilianna spends walking to the park

The equation:

d(3/4 + 1) = 12 1/4

d(3+4/4) = 12 1/4

d(7/4) = 49/4

d = 49/4 ÷ 7/4

= 49/4 × 4/7

= 49/7

d = 7

Complete question:

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

Learn more about variable:

https://brainly.com/question/11885867

#SPJ1

Answer:

Option (B).

Step-by-step explanation:

From the figure attached,

There are two pieces of the function defined by the graph.

1). Curve with the domain (-∞, 2)

2). Straight line with domain (2, ∞)

1). Function that defines the curve for x < 2,

  f(x) = |4 - x²|

2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]

  f(x) = x

Therefore, Option (B) will be the answer.

Answer:

(7,-4) ; 12

Step-by-step explanation:

Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle

Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

Answer:

the answer is (d) 57°

Step-by-step explanation:

since it's a straight angle it equals to 180°

you divide 180° from 123°

x = 21

y = 8

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

Explanation:

Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.

Let's solve for x.

The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.

So,

(10x-61) + (x+10) = 180

10x-61 + x+10 = 180

11x - 51 = 180

11x-51+51 = 180+51 .... adding 51 to both sides

11x = 231

11x/11 = 231/11 .... dividing both sides by 11

x = 21

Since x = 21, the upper right angle (10x-61) is equal to

10x-61 = 10*21-61 = 210-61 = 149

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

We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent

18y+5 = 149

18y+5-5 = 149-5 ... subtracting 5 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

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

Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that

(18y+5)+(x+10) = 180

18y+5 + x+10 = 180

18y+5+21+10 = 180 .... plug in x = 21

18y+36 = 180

18y+36-36 = 180-36 ... subtract 36 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

We get the same result.

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

As a check, plugging y = 8 into 18y+5 should lead to 149

18y+5 = 18*8+5 = 144+5 = 149

This confirms the y value answer

Find the value of xy².

xy²

★ Substituting the values of x and y ,we get :

⇒ -12 × ( -3 )²

⇒ -12 × 9

⇒ -108

Answer:

Hey there!

[tex](2x-1)(x-3)[/tex]

[tex]2x^2-1x-6x+3[/tex]

[tex]2x^2-7x+3[/tex]

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Answer:

a. 1.25

b . 0.8

Step-by-step explanation:

This is a question in scale factors

a. The sable factor that takes P to Q

In P, we are having sides 4, 2 and 3

In Q, we are having sides 2.5 and 5

From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5

So the scale factor would be;

4 * x = 5

or

2 * x = 2.5

Where x is that dilation factor that transformed 4 into 5

Thus, x would be 5/4 or 2.5/2 = 1.25

b. The scale factor that takes Q to P

This is the direct opposite of what we have in the first question.

Here, we want to go from Q to P

To get this, we simply divide what we have in P by what we had in Q

Hence, what we do here is;

2/2.5 or 4/5 = 0.8

Answer:

put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

Hope this helps you

Answer:

C) C < 4

Step-bay-step explanation:

> means "greather than"

< means "less than"

The only statement that is true:

C) C< 4

Answer:

8 10 12 14 16

Step-by-step explanation:

8+2=10, 10+2=12, 12+2=14, 14+2=16

Answer:

17

Step-by-step explanation:

b(1) = 16

b(2) = b(2-1) +1

      = b(1) +1

     = 16+1

    = 17

The table represents a function because each input (x-value) corresponds to exactly one output (y-value)

If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.

Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.

Answer:

No idea dude

Step-by-step explanation:

I just need points

Answer:

h = (x - 8)/5

Step-by-step explanation:

Step 1: Write out expression

x = 5h + 8

Step 2: Isolate variable h (Subtract 8 on both sides)

x - 8 = 5h

Step 3: Isolate h (Divide both sides by 5)

(x - 8)/5 = h

Step 4: Rewrite

h = (x - 8)/5

Answer: 400

Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.

To decide whether to round up or down, we look

at the digit to the right of the 3, which is 7.

According to the rules of rounding, if the digit to the right of the

rounding place is greater than or equal to 5, we round up.

So in this problem, since 7 is greater than or equal to 5, we round up.

This means that we add 1 to the 3 in the rounding place

to get 4 and all digits to the right of 4 become 0.

So 372 rounded to the nearest hundred is 400.

Answer:

B

Step-by-step explanation:

The association property of multiplication states that if we have three numbers such as:

[tex]a\cdot b\cdot c[/tex]

Then the order of parentheses will not matter. In other words:

[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]

For instance:

[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]

For the choices, it must have at least three terms. Thus, eliminate A.

It must also have parentheses. Eliminate D.

Choice C represents the distributive property, where you distribute a factor into the expression.

Thus, the correct answer is choice B.

And as previously mentioned, the order of the parentheses does not make the product any different.

[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]

Answer:

The correct answer choice is B.

Step-by-step explanation:

The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!

B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.

C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.

Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.

Let me know if you need more elaboration!

Answer:

C 100 inches/ minute * 1 ft/ 12 inches

Step-by-step explanation:

100 inches/ minute

We need to convert inches to ft

12 inches = 1 ft

100 inches/ minute * 1 ft/ 12 inches

Answer:

54 square miles

Step-by-step explanation:

The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.

Answer:

The correct option is;

C. Transformation

Step-by-step explanation:

In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image

The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.

Answer: [tex]y=\dfrac12 x[/tex] .

Step-by-step explanation:

We know that [tex]a f (x)[/tex]  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].

Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .

i.e. [tex]y=\dfrac12 x[/tex] .

Answer:

[tex]\dfrac{7}{10}[/tex]

Step-by-step explanation:

Given that

Number of batteries that do not have a charge = 14

Total number of batteries = 20

To find:

Experimental probability that the next battery checked does not have a charge = ?

Solution:

First of all, let us learn about the definition of experimental probability.

Probability is the chances of happening of an event.

Formula for probability of happening of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here we have to find the probability of checking a battery that has no charge.

So, number of favorable cases = Number of batteries that do not have a charge = 14

AND

Total Number of cases = Total number of batteries to be checked = 20

So, the required probability is:

[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]

Answer:

see below

Step-by-step explanation:

cos ( x+pi/2) = -sinx

We know that

cos(A + B) = cos A cos B - sin A sin B

Let x = A and pi/2 = B

cos x cos pi/2 - sin x sin pi/2 = -sin x

We know cos pi/2 = 0  and sin pi/2 = 1

cos x * 0 - sin x *1 = -sin x

- sin x = - sin x

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

         Hi my lil bunny!

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[tex]1\sqrt{7}[/tex]

[tex]= \frac{1}{7} \sqrt{7}[/tex] (Decimal: 0.377964)

OR

[tex]\frac{1}{\sqrt{7} }[/tex]

[tex]= \frac{1}{\sqrt{7} } X \frac{\sqrt{7} }{\sqrt{7} }[/tex]

[tex]= \frac{\sqrt{7} }{(\sqrt{7})^{2} }[/tex]

[tex]= \frac{\sqrt{7} }{\sqrt{7} }[/tex]

I don't really know because both of them seem right..

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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If this helped you, could you maybe give brainliest..?

❀*May*❀