I'm not sure what level of math you are at, so I hope it's alright that I used the trig function of tangent. Basically, you just have to find the second base to be able to find the area using the formula for the area of a trapezoid (A = ½h(b₁ + b₂)). To do this, use the information given and a little creativity to create a triangle and find the missing pieces. Finally, plug everything into the equation and voilà. Hope that helps!
Answer:
32 seed packets
Step-by-step explanation:
15/4=3.75
120/3.75=32
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
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The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
Solve for b:
5 a (b - c) = d
Divide both sides by 5 a:
b - c = d/(5 a)
Add c to both sides:
Answer: b = c + d/(5 a)
Answer:
The value of Cos(60°) is ½
Step-by-step explanation:
B)as we know
b²=a²+c²-2ac.cos(b)
b=√5²+8²-2.5.8×cos(60°)
b=√25+64-80×½
b=√25+64-40
b=√89-40
b=√49
b=7 (proven)
