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yaroslaw [1]
2 years ago
8

Two sides of a triangle are 12cm and 8cm. Complete the inequality to show the possible lengths for the third side. If the third

side of the triangle is x then, _
Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0

The inequalities that represents the third side of the triangle is  x ≥ 4 or x ≤ 20

How to find the third side of a triangle?

The triangle inequality theorem states that that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, the two sides of the triangle are 12 cm and 8 cm.

A triangle with sides a, b and x follows the principle below;

a + b ≥ x.

Therefore,

let

x = third sides

12 + 8 ≥ x

20 ≥ x

x + 8 ≥ 12

x ≥ 4

x + 12 ≥ 8

Therefore, the third third should be greater than or equals to 4 or less than or equals to 20

x ≥ 4 or x ≤ 20

learn more on triangle here:

brainly.com/question/28105571

#SPJ1

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What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the
marishachu [46]
The sum of all the measurements is just the average times the number.

\bar x = \frac{1}{n} \sum_{i=1}^n x_i

\sum_{i=1}^n x_i = n \bar x

So if the average of all 92 is 7 the sum of those is 92 \times 7

The average of the last two is 7.2 so their sum is 2 \times 7.2

That means the sum of the first 90 is 92 \times 7 - 2 \times 7.2

so the average of the first 90 is

 \dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556 cm



7 0
3 years ago
If 2x + 5 =8 ×, then 12x=
nadya68 [22]
<span>2x + 5 =8x
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5 0
3 years ago
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What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

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Apply the cosine half-angle identity.

±

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1

+

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Change the  

±

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+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

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2

Simplify  

√

1

+

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2

√

2

−

√

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2

The result can be shown in multiple forms.

Exact Form:

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Decimal Form:

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6 0
4 years ago
8 + 3 (16 - 12). Help thanks
PSYCHO15rus [73]

Answer:

20

Step-by-step explanation:

you've got to do the inside parenthesis first then multiple with 3 and finally add 8

8 0
3 years ago
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In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs
Dominik [7]

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

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But d = 22.2inches

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Area = 3137 inches²

Let's convert from inches² to feet², we have:

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Therefore,

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Note: I attached missing data which states that diameter at year 13 is 22.2inches

6 0
3 years ago
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