Answer:
96
Step-by-step explanation:
The ratio of the measure of sides of a triangle are 8:15:17
The perimeter is 480
8x + 15x + 17x= 480
40x= 480
x = 480/40
x = 12
Therefore the measure of the shortest side of the triangle can be calculated as follows
8x
8×12
= 96
For every pair of slacks Arlo can choose 4 dresses so the number of ways is
6 * 4 = 24 answer
Answer:
79 = 13+15+24+ missing side. 79 = 52 + missing side
<em>the missing term is 5</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>12x² - 75 = </em>
<em>= 3(4x² - 25)</em>
<em><u>use formula</u></em><em> a² - b² = (a - b)(a + b)</em>
<em>= 3(2x - 5)(2x + 5)</em>
<em>= 3(2x + 5)(2x - 5) </em>
<em>the missing term is 5</em>
<em>Good luck !</em>
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
