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igor_vitrenko [27]
3 years ago
15

Noah has 5 meters of rope. How many pieces of rope of length 1/2 meter can he cut from it? Draw a diagram to illustrate your sol

ution.​
Mathematics
1 answer:
attashe74 [19]3 years ago
7 0
He can cut 10 half meters of rope
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A courtyard has three walls with widths
wariber [46]

Using the greatest common factor, it is found that the greatest dimensions each tile can have is of 3 feet.

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

  • The widths of the walls are of <u>27 feet, 18 feet and 30 feet.</u>
  • <u>The tiles must fit the width of each wall</u>, thus, the greatest dimension they can have is the greatest common factor of 27, 18 and 30.

To find their greatest common factor, these numbers must be factored into prime factors simultaneously, that is, only being divided by numbers of which all three are divisible, thus:

27 - 18 - 30|3

9 - 6 - 10

No numbers by which all of 9, 6 and 10 are divisible, thus, gcf(27,18,30) = 3 and the greatest dimensions each tile can have is of 3 feet.

A similar problem is given at brainly.com/question/6032811

8 0
3 years ago
If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?
yaroslaw [1]
Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

\bf \textit{arc's length}\\\\&#10;s=\cfrac{r\pi \theta }{180} \quad &#10;\begin{cases}&#10;r=radius\\&#10;\theta =angle~in\\&#10;\qquad degrees\\&#10;------\\&#10;r=3\\&#10;\theta =70&#10;\end{cases}\implies s=\cfrac{3\cdot \pi \cdot 70}{180}\implies s=\cfrac{7\pi }{6}
6 0
3 years ago
What is x? Options: 81, 57, 143, 66.
jeyben [28]

Answer:

x = 103

Step-by-step explanation:

In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).

3 0
3 years ago
Read 2 more answers
Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jor
rusak2 [61]

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

5 0
3 years ago
an electrician charges $55 per hour of electrical work plus a flat fee of 25$ as a service charge . if a customer's bill 190 whi
zhenek [66]

Answer:

\large \boxed{\text{A. 3.0 h}}

Step-by-step explanation:

The bill          = $190

Less flat fee  =    25

Work done   = $165

\text{Hours worked} = \$165 \times \dfrac{\text{1 h}}{\$55} = \textbf{3.0 h}\\\\\text{The electrician was on the job for $\large \boxed{\textbf{3.0 h}}$}

7 0
3 years ago
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