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pogonyaev
3 years ago
7

Um comerciante comprou um lote de cabos e quer colocá-los à venda em pedaços, o maior possível, com o mesmo comprimento e sem ha

ver perdas. Sabendo que, os cabos têm comprimento de 96m, 60m e 84m, qual a medida dos pedaços a serem oferecidos aos clientes?
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

12

Step-by-step explanation:

The computation of the size of the customers is shown below:

Here we find the greatest common divisor of the given numbers

96, 60, 84 ÷ 2

48, 30, 42  ÷ 2

24, 15, 21 ÷ 2

12, 15, 21 ÷ 2

6, 15, 21 ÷ 2

3, 15, 21  ÷ 3

1, 5, 7 ÷ 5

1, 1, 7 ÷ 7

1, 1, 1

By this there are three numbers i.e. 2, 2 and 3

So, the lease common denominator is

= 2 × 2 × 3

= 12

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A= \frac{1}{2} bh

But,
\tan\theta= \frac{h}{b}  \\  \\ \Rightarrow h=b\tan\theta

Therefore, the area of the triangle in terms of <span>b and θ only is given by
</span>A=\frac{1}{2} b(b\tan\theta)=\frac{1}{2} b^2\tan\theta
6 0
3 years ago
Evaluate: (5-1)3 +(11-2)2 +(7-4)3
suter [353]
(5-1)3 +(11-2)2 +(7-4)3
(4)3+9(2)+3(3)
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39

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8 0
3 years ago
Read 2 more answers
Find the slope, distance and midpoint between
Dovator [93]

Answer:

Slope- 4

Distance- 12.4

Midpoint- (6,8)

Step-by-step explanation:

Slope- \frac{y2-y1}{x2-x1}

\frac{2-14}{4-7} =\frac{-12}{-3}=4

Distance- d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

d = \sqrt{(4 - 7)^2 + (2-14)^2}

d = \sqrt{-3^2 + -12^2}d = \sqrt{144+9}=\sqrt{153}

\sqrt{153} = 12.4

Midpoint- \frac{x1+x2}{2} ,\frac{y1+y2}{2}

\frac{7+4}{2} =\frac{12}{2} = 6=x

\frac{14+2}{2} = \frac{16}{2} = 8 = y

(6,8)

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=8%28%20%7B4%7D%5E%7B2%7D%29%20%2B%20%20%7B2%7D%5E%7B4%7D%20" id="TexFormula1" title="8( {4}^{2
cluponka [151]

The given expression 8(4)^2+2^4 is equal to 144 or 12^2

<em><u>Solution:</u></em>

Given expression is:

8(4)^2+2^4

We have to evaluate the above given expression

We know that,

(4)^2 = 4 \times 4 = 16

2^4 = 2 \times 2 \times 2 \times 2=16

Substituting these in above given expression, we get

8(4)^2+2^4=8 \times 16+16\\\\8(4)^2+2^4= 128+16\\\\8(4)^2+2^4=144

Also we know that,

12 \times 12 = 144

Therefore,

8(4)^2+2^4=144 = 12 \times 12 = 12^2

Thus the given expression 8(4)^2+2^4 is equal to 144 or 12^2

7 0
4 years ago
What is the weight of a square if a triangle weights 4 grams?
KonstantinChe [14]

Answer:

8

I really hope this helped.

7 0
3 years ago
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