Answer:
(-21/24) - (-20/24) = -1/24
<em>Simplest Form of the Equation</em>
(-7/8) - (-5/6) = 0.04166666666
8x6= 48,
-7x6=-42
6x8= 48,
-5x8=40
(-42/48) - (-40/48)
Divide both sides by 2
(-21/24) - (-20/24) = -1/24
(a) The measure of the indicated angle for figure 1 is 48⁰.
(b) The measure of the indicated angle for figure 2 is 42⁰.
<h3>Measure of the indicated angle</h3>
The measure of the indicated angles can be calculated as follows;
<h3>Figure 1</h3>
sinθ = opp/hypo
sinθ = 72/97
sinθ = 0.7423
θ = sin⁻¹(0.7423)
θ = 47.9⁰ ≈ 48⁰
<h3>Figure 2</h3>
sinθ = 65/97
sinθ = 0.6701
θ = sin⁻¹(0.6701)
θ = 42.1⁰ ≈ 42⁰
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2=log(3x+4)
y = loga b a^y = b
since this is base 10
10^2 =3x+4
100 = 3x+4
subtract 4 from each side
96 =3x
divide by 3
32=x
Since in 1990 there are 28%, we need to figure out when it gets to 31%. In addition, since it increases by 0.6% every year, we can say that 0.6x+28 (since 28 is the base value) is the percentage of babies born in wedlock every year. Therefore, to get 0.6x+28=31, we subtract 28 from both sides to get 0.6x=3
Dividing both sides by 0.6, we get x=5=the amount of years it takes to get 31% of babies born in wedlock. Since 1990 is the base value (we start from there!), we add 5 to that to get 1990+5=1995 as the yar