Answer:
40 degrees
Step-by-step explanation:
We know the entire angle of ABD is 70 and CBD and ABC are in it.
Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.
30 + x = 70
-30 from both sides
x = 40
As it says he keeps 'pairs' of shoes so the answer has to be an even 'number' - ie B, C and E are all possible answers.
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Cosθ is 3/5 because the cosine is found from the adjacent side of the triangle being divided by the hypotenuse. The sine is found by putting the opposite side from θ over the hypotenuse. If you draw this triangle out, the side across from θ would be 4 and the hypotenuse 5. In order to find the opposite side, you could either solve with the pythagorean theorem (a^2+b^2= c^2) or you could remember the properties of a triangle, therefore the final side is 3. You then put the opposite, 3, over the hypotenuse,5, in order to get 3/5 for the cosθ.
The solution of the given compound inequality, 2x − 5 > 3 or 4x + 7 < −25, is <u>x < -8 or x > 4</u>. The graph of the inequality is attached.
In the question, we are asked to solve each compound inequality and graph the solution: 2x − 5 > 3 or 4x + 7 < −25.
We first solve each inequality separately as follows:-
1. 2x - 5 > 3,
or, 2x > 3 + 5,
or, 2x > 8,
or, x > 8/2,
or, x > 4.
2. 4x + 7 < - 25,
or, 4x < - 25 - 7,
or, 4x < - 32,
or, x < -32/4,
or, x < - 8.
Thus, the solution of the given compound inequality is x < -8 or x > 4.
Thus, the solution of the given compound inequality, 2x − 5 > 3 or 4x + 7 < −25, is <u>x < -8 or x > 4</u>. The graph of the inequality is attached.
Learn more about solving and graphing inequalities at
brainly.com/question/24372553
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The provided question is incorrect. The correct question is:
"Solve each compound inequality and graph the solution: 2x − 5 > 3 or 4x + 7 < −25".