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galben [10]
3 years ago
9

Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 mil

es north from his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far are the two boys from the resort
Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

Step-by-step explanation:

First we need to calculate the displacement of the resort from Manuel's house using Pythagoras theorem.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next is to calculate the displacement of Manuel's friend house to Manuel's house.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The displacement of the two boys from the resort will be ∆S = S2-S1

∆S = 53.84-18.03

∆S = 35.81m

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#13 please help solve this
rusak2 [61]

Answer:

The change in the total cost for each book printed is $10

The cost to get started is $1250

Step-by-step explanation:

In the linear equation y = m x + b, where

  • m is the rate of change per unit
  • b is the initial amount (value y at x = 0)

∵ y represents the total cost of publishing a book in dollars

∵ x represents the number of copies of the book printed

∵ y = 1250 + 10 x

- Compare it with the linear equation y = m x + b

∴ m = 10

∴ b = 1250

∵ m = Δy/Δx

- That means m is the change in the total cost per book

∴ The change in the total cost for each book printed is $10

∵ b is value y at x = 0

- That means b is the cost to get started before print any book)

∴ The cost to get started is $1250

5 0
4 years ago
The Window has the shape of a kite. How many square meters of glass were used to make the Window
Elan Coil [88]

The window that has the shape of a kite has the area of the glass as 648 centimetre squared.

<h3>What is area of a figure?</h3>

Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,

The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).

Therefore,

area of kite = ab / 2

where

  • a and b are the length of the diagonal

Therefore,

a = 18 + 18 = 36 cm

b = 15 + 21 = 36 cm

area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²

learn more on area here:brainly.com/question/2494000

4 0
2 years ago
How do you find the value of 4!
prohojiy [21]

Answer:

24

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24


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3 years ago
Someone help me please! :D
alexandr402 [8]
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:

90 + 140 + (x - 10) + (x - 20) = 360

Combine like terms:

230 + 2x - 30 = 360

200 + 2x = 360

200 - (200) + 2x = 360 - (200)

2x = 160

Divide both sides by 2:

2x/(2) = 160/(2)

x = 80
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3 years ago
Simplify. 7.8 + 3.9 asap
Dima020 [189]
The answer of this question is 11.7
6 0
4 years ago
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