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erica [24]
3 years ago
7

the legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse,

sin theta
Mathematics
1 answer:
Goryan [66]3 years ago
7 0
First find the hypotenuse.

a^2 + b^2 = c^2

5^2 + 7^2 = c^2

c^2 = 25 + 49

c = sqrt(74)

sin(theta) = opp/hyp

sin(theta) = 7/(sqrt(74))
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Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-
oee [108]

Step-by-step explanation:

<h3> a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )</h3>

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

<h3> b) 400 ÷ { 40 – (-2) -3 – ( -1)} </h3>

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

<h3>c) 40 x -23 + 40 x -17 </h3>

(40 x 23) + (40 x -17)

920 + (-680)

= 240

<h3>d) 1673 x 99 – (-1673) </h3>

(1673 x 99) + 1673

1673 x 100

= 167300

<h3>e) 490 x 98 = 48020</h3>

Hope this helps ^-^

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3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
weeeeeb [17]

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

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the n th term formula ( explicit formula ) is

a_{n} = a_{1} r^{n-1}

here r = - 5 and a_{1} = - 4, hence

a_{n} = - 4 (-5)^{n-1} with n ≥ 1





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