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?

Answers

Answer 1

Answer:

Length of shortcut  = 15 km

Step-by-step explanation:

Given that;

Length of shortcut is equal to square root of the sum of the squares of the other two sides.

So,

We can find length of shortcut.

Assume:

Length of other two side area 12 km and 13 km

So,

H = √P² + B²

Length of shortcut  = √12² + 13²

Length of shortcut  = √144 + 169

Length of shortcut  = √225

Length of shortcut  = 15 km


Related Questions

PLZZZZZZZZZZZZZ HELPPPPPPPPP

Answers

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

NEED HELP PLEASE I NEED THE ANSWER

Answers

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)

The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°​

Answers

The answer is 54. Let me know if you need an explanation

select all the expressions that are equal to
8(x-24)

Answers

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].

What is 3^5 as a product of the same factor?

Answers

Answer:

9

Step-by-step explanation:

1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?

7%

Answers

Tom has 27badge
Explanation
100%+25%=135%
135/100 X 20 =27

A line is the locus of points that:

Answers

Answer is b Bc the total lof dermetion will be correct
A line is the locus of points that: are the same distance from two points. That's the equation for a line.


If helped mark me the brainiest!!

can anyone help me ?

Answers

Answer:

d

Step-by-step explanation:

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

The answer is D because the sum of the angle s of a triangle is always 180 degrees

Part B 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. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.​

Answers

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 .

Question 21 of 25
Which of the following is the coefficient in the algebraic expression 12x+ 24?
O A. 4
O B. x
C. 12
D. Z
SUBMIT

Answers

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.


Help me please

Answers

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

What is the length of side c rounded to the nearest tenth of an inch?
17 in.
19 in.
С
The length of side c rounded to the nearest tenth of an inch is in.

Answers

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"

Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?

Answers

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

What does it mean to square a number? Provide an example to support your answer.

Answers

Answer:

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

Find the equation of the circle whose center and radius are given.

center ( 7, -3), radius = 7

Answers

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

Choose the product of (3x2 + 7)(6x2 – 4x + 5).

A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35

Answers

The answer is D
------------------------
ps, have a great day! ^^

Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.​

Answers

Step-by-step explanation:

i have solved the question

According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20

Answers

Answer:

20

Step-by-step explanation:

AP EX Confirmed

PLS HELP! WILL MARK BRAINLIEST!

Mr. Smith makes a pasta sauce
He mixes tomato concentrate: olive oil at a ratio of 3: 1

How many liters of tomato concentrate does he need to mix if he adds 3 liters of olive oil?

Answers

Answer:

9 litres of tomato concentrate

The question was not clear for me! Help :(

Answers

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

Find the Missing Angle!!!!

Answers

it would be 80 degrees

Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A

Answers

Set a is less symmetric than set b

HELPPPPPPPPPPP MEEEEEE

Answers

Answer:

Answer is D

Step-by-step explanation:

Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)

c=

Answers

C=12.6
Using pythagorus theorem.

Answer:

120 broAB ayi dónde es 120 desde A asta B

Trigonometry is the study of____________

Answers

Answer:

relationships between side lengths and angles of triangles

Step-by-step explanation:

Answer:

Study of the angles and triangles

Step-by-step explanation:

WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
Find the measure of the missing angles.

Answers

80 I believe hopefully it’s correct

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°

Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?​

Answers

5÷100=x

x=20

100-20=80

80= the total cost of the 4 pairs of mittens

5x=100
X=20
4x=80
This should be the expression

Math is hard -10/-10

Answers

Answer:

1 yup the answer is 1

no links please!!!!!!!!!!!!!

Answers

x< -6 __________________

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.

List the next three numbers for the sequence:

34, 102, 408, 2040, ...

Answers

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

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