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leonid [27]
3 years ago
7

jose buys a new moped. he travels 3km south and then 4 km east. how far does he need to go get back to where he started

Mathematics
1 answer:
Alla [95]3 years ago
5 0

In order to calculate for the distance that Jose needs to cover to go back to where he started, just use the concept of Pythagorean theorem. First illustrate the given in triangular form. The missing side is the distance covered by Jose. To calculate for the side just get the sum of the square of the two number and then get the square root of the answer. The answer would be 5 km northwest. 

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I need some help on these 3 questions :)
wlad13 [49]

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

3 0
2 years ago
Some friends shared 2 bags of chips. If each person got 2/3 of a bag of chips, how many friends were there?
quester [9]

Answer:

1 1/3

Step-by-step explanation:

5 0
3 years ago
2x-3=-(4x+9) epic bruh moment,i cant seem to get this right someone please answer it for me.
tatyana61 [14]

Answer: x = -1

Step-by-step explanation:

  • 2x-3= - 4x+9
  • 2x+4x = -9 + 3
  • 6x = -9 + 3
  • 6x/6 = -6/6
  • x = -1
8 0
3 years ago
What is the area of this figure? <br><br> Enter your answer in the box
Anvisha [2.4K]
Area of box : 18*18, which is 324

area of larger triangle : 18*16/2 which is 144

area of larger triangle : 8*16/2 which is 64

add them all to get 532
7 0
3 years ago
What is the volume of the composite figure?
Romashka [77]

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism (A= l * w * h) and volume of a triangular prism. A = \frac{1}{2}(b*h)

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 ×  8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

5 0
3 years ago
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