Frances and Joyce decided to take a shortcut through the woods to go to their friend's house. When they went home they decided to take the long way around the woods to avoid getting muddy shoes. If the length of the shortcut is equal to the square root of the sum of the squares of the other two sides, what total distance did they walk?

Step-by-step explanation:

i have solved the question

Answer:

relationships between side lengths and angles of triangles

Step-by-step explanation:

Answer:

Study of the angles and triangles

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

Answer:

Step-by-step explanation:

[tex]2 < -\frac{x}{3}[/tex]

To "undo" the division, multiply both sides of the inequality by 3.

[tex]6<-x[/tex]

To find  x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).

[tex]-6>x[/tex]

Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.

[tex]x<-6[/tex]

This isn't some kind of magic.  If -6 is bigger than  x,  then x  is smaller than -6.

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3,  to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

Given :

Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.

He spends a total of $94.94.

Solution :

Let, cost of each shirt is $ x.

It is given that there are 5 shirt and each cost the same.

Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .

So,

[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]

Therefore, the cost of each shirt that Liam buys is $12.99 .

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

Answer:

120 broAB ayi dónde es 120 desde A asta B

Answer:

0.1 , 0.2 , 0.05

Step-by-step explanation:

*each column adds to 1*

20 x 1/2 = 10

1/2 x 20 x 0.1 = 1

top left box = 0.1

; 5 x 2 x 0.1 = 1

1/2 x 10 = 5

; 0.2 x 1/2 x 10 = 1

bottom middle box = 0.2

; 5 x 1 x 0.2 = 1

; 2 x 10 x 0.05 = 1

middle right box  = 0.05

; 20 x 1 x 0.05

Answer:

1 yup the answer is 1

Answer:

d

Step-by-step explanation:

The sum of the angles of a triangle is ALWAYS 180 degrees.

Answer:

9 litres of tomato concentrate

Answer:

b=70 degree (by vertically opposite angle)

and c can be calculated as

b+c=180°

c=180°-b

c= 180°-70°

c= 110°

hence b=70° and c=110°

Answer:

V = 40 km/h

Step-by-step explanation:

Total distance = 120 km

Constant speed of train = V km/h

⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]

Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,

[tex]Speed \times Time = Distance[/tex]

[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]

[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]

[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]

[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]

[tex]=> V^2 - 10V - 1200 = 0[/tex]

Factorise the quadratic equation.

[tex]=> V^2 - 40V + 30V - 1200[/tex]

[tex]=> V(V - 40) + 30(V - 40)[/tex]

[tex]=> (V - 40)(V + 30)[/tex]

[tex]=> V = 40 \: (or) \: -30[/tex]

Speed can't be negative. So , V = 40 km/h

Answer:

Answer is D

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

AP EX Confirmed

5÷100=x

x=20

100-20=80

80= the total cost of the 4 pairs of mittens

Answer:

Step-by-step explanation:

The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).

intersection= (7,26)

Answer:

18/4

Step-by-step explanation:

If y varies directly as x then the equation is y = kx

If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4

The value of y when x = 18 is,

y = k *&x

  = (1/4) * 18

  = 18/4

then the equation is y = 18/4

Answer:

Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]

Step-by-step explanation:

No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

When squaring a number it is essentially taking a number and multiplying it by itself. For example, 5^2 is 5×5 (=25).