From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Answers

Answer 1

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dan's house to Samuel's house is 4 km

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Related Questions

CAN SOMEONE HELP ME WITH THIS EQUATION?

Answers

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

         

3.70 x 10^2

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

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

What is the student error in the multiplication below?

Answers

Answer:

below what

Step-by-step explanation:

May I please receive help????
Please

Answers

Answer:

43°

Step-by-step explanation:

Equation:

m∠ABD = m∠1 + m∠2

Substitute:

68° = m∠1 + (m∠1 + 18°)

Solve:

68° = m∠1 + (m∠1 + 18°)

68° = 2(m∠1) + 18°

50° = 2(m∠1)

25 = m∠1

Solution:

Know that we know that m∠1 is, we can add 18* to find m∠2

25° + 18° = 43°

-Chetan K

Simplify the following to standard form
1.(9x+7y+8z)+(2x+ -4y+7z)
2. (5x +10y+ -8z) - (2x+ -2y + -3z)​

Answers

Answer:

1, 11x + 3y + 15z

2, 3x + 12y + -5z

Step-by-step explanation:

all you need to do is combined the like terms and make sure the signs (positive and negative signs) are right

the product of r and 8​

Answers

Answer:

I believe it'd be 8r.

PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.

Answers

Answer:

No

Step-by-step explanation:

A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°

3.5m/min = how manny miles/hour

Answers

Answer:

[tex]\sf\longmapsto0.13 miles/hour[/tex]

Step-by-step explanation:

Firstly we have to use the formula to find the miles/hour

[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]

[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]

[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]

THIS IS IT AND NO MORE QUESTION AND THX FOR HELP!! HELP AGAIN PLEASE

Answers

5 1/2 * 1 2/5

They can be turned into improper fractions to make multiplying easier. Do this by multiplying the whole number by the denominator and then adding the numerator, and then putting that number over the given denominator.

11/2 * 7/5

The numerators are multiplied and the denominators are multiplied.

77/10

Now, reduce it back into a mixed number.

7 7/10

Hope this helps! :D

The formula 1/2 bh finds the area of what shape?

Answers

The formula ½ bh finds the area of a triangle.

Please check the picture.

Answer:

Triangle

Step-by-step explanation:

b -  base of the triangle

h - height or altitude

Please help me solve 9 and 10 ASAP please

Answers

Answer:

[tex] \sqrt{ |?| } [/tex]

2. Is this graph a function?


A. This is not a function

B. This cannot be determined from graph

C. This is function

Answers

C. This is a function
C. This is a function.
You know this because none of the points are on the same lines going down.

The airline tickets to Jamaica that you want to buy just went on sale. They were originally $1100 and the sale price is $600. What percentage is the original price marked down?

Answers

Step-by-step explanation:

100% = $1100

1% = 100%/100 = 1100/100 = 11

how many % are $600 ?

that is how often does 1% fit into $600 ?

600 / 11 = 54.545454... %

rounded that means 55%.

so, the making down percentage is then the difference

100% - 55% = 45%

is 18/3 an irrational number

Answers

Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

What is an irrational number?

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

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Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F

Answers

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

I need help please asap!!

Answers

Answer:

I think its step 2.

Step-by-step explanation: Correct me if im wrong. Hope it helps. :)

Answer:

Step 1 ;

Step-by-step explanation:

Convert the division into a multiplication and then flip the fraction .

[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]



I need some help with this thank you!

Answers

Answer:

9

Step-by-step explanation:

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2

2^28(3^-2/2^3)^4 x 243^2/256^2

2^28 x 1/2^12 x 3^8 x 243^2/256^2

243^2 x 1 x 2^28/256^2 x 3^8 x 2^12

2^28 x 243^2/2^12 x 3^8 x 256^2

2^16 x 243^2/3^8 x 256^2

2^16 x 3^10/2^16 x 3^8

=3^2

=9

What is the slope of the line graphed below

Answers

Answer:

mx + y = c slope = - 4 and y - intercept = 2 , then the equation of line is mx + y = c .

Step-by-step explanation:

If I am wrong sorry If I am right mark me brainliest

.what is the answer please ​

Answers

its  C the only one that makes a angle

Help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Slope of a line perpendicular to y=4x+3 is −14 .

Step-by-step explanation:

...............

If you need the graph here it is

what is the answer for this please help

Answers

Answer:

7/10

Step-by-step explanation:

multiplicative inverse of 7 raised to -2​

Answers

Answer:

The multiplicative inverse of 7 raised to - 2 is 72. Not actual 72 but 7 to the second power.

Step-by-step explanation:


13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm

Answers

Answer:

C. length = 23 cm; width = 7 cm

Step-by-step explanation:

Let the width is x, then the length is:

l = 2x + 9

Perimeter is:

P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7

Dimensions are:

Width = 7 cm, length = 2*7 + 9 = 23 cm

Correct choice is C

The image point of A after a translation right 4 units and up 4 units is the point B(-5, -1). Determine the coordinates of the pre-image point A.​

Answers

Answer:

(-9, -5)

Step-by-step explanation:

You have to imagine where it came from so the only way to find that is by reversing the translation. Instead of adding 4, we need to subtract 4 left and down. Once you did the inverse you receive your answer.

When you rotate a figure, does every point move the same distance? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Because the figure is only 1 product or thing

Yes. Since the angle of rotation is the​ same, the distance that each point moves is the same.

Cuales son los lados correspondientes de un ángulo

Answers

Answer:

Los lados correspondientes de un polígono son los lados que están en la misma posición en polígonos similares. En geometría, encontrar la congruencia y la similitud implica comparar los lados correspondientes y los ángulos correspondientes de los polígonos. En este artículo, aprendamos más sobre triángulos rectángulos similares, lados correspondientes, su definición, cómo son proporcionales

Step-by-step explanation:

Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.

Answers

Beckett’s estimate was incorrect by almost 10 percent; if he was thinking clearly, he would have known that he spent at LEAST $80 in total

Beckett spent $88 in total his estimate of $80 is wrong.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.

The total spending will be calculated as,

Total = 52 + 36

Total = $88

The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.

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Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.


(Please help!)

Answers

Answer:

sarah is correct

Step-by-step explanation:

there are not multiple ways to divide you can only use division and the equation is 15/2

Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3​

Answers

Answer:

It is 10 quarters and 10 nickels

10 x 25 = $2.50

10 x 5 = $0.50

2.50 + 0.50 = $3.00

***I hope this helps

Step-by-step explanation:

There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?

Answers

Answer:

there are 40 chaperones and 112 kids.

Step-by-step explanation:

5 chaps. plus 14 kids -- 19 people

152 people divided by 19 -- 8

chaperones = 5 x 8 kids = 14 x 8

what x-6-5x plz help me

Answers

Answer:

−4−6

Step-by-step explanation:

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