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jasenka [17]
3 years ago
11

A triangle has side lengths of (6a - 36) centimeters, (5a + 5c) centimeters, and (8c - b) centimeters. Which expression represen

ts the perimeter, in centimeters, of the triangle?​
Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

11a + 13c -b - 36

Step-by-step explanation:

We add all the sides together because we're looking for perimeter.

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Sum of angles in a triangle is 180°:
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180 - 80 - 53 = 47

Sum of angles in a triangle is 180° / Vertically opposite:
180 - 68 - 47 = 65°

Answer:  65°
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4 years ago
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boyakko [2]

Answer:

0.5 or 50%

Step-by-step explanation:

The number of total employees is:

T=15+25+10 =50\ Employees

The number of married employees is:

M=10+10+5 =25\ Employees

The probability that a randomly selected employee is not married is given by:

P=1-\frac{M}{T}\\P=1-\frac{25}{50}\\P=0.5\ or\ 50\%

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3 years ago
Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

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4 years ago
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Step-by-step explanation:

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Answer:

73

Step-by-step explanation:

584/8

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