Answer:
36
Step-by-step explanation:
the first sequence starts
4 12 (3*4) 36 (3*12) 108 (3*36) ...
the second sequence starts
20 28 (8+20) 36 (8+28) 44 (8+36) ...
so, just by writing down a few elements you can see it already.
I knew it already before that just by thinking "the first sequence has only numbers that can be divided by 3. what is the first number of the second sequence that can be also divided by 3 ? oh, yeah, 36 !"
<h3>
Answer: Either 4/3 or -4/3</h3>
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Explanation:
Let r be the common ratio. Also, we'll make r nonzero, i.e.
Multiplying this common ratio by any term gets us the next term of the geometric sequence.
16/9 is the first term, so that makes (16/9)*r the second term
Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2
Set this equal to 1 and solve for r.
(16/9)r^2 = 1
r^2 = 1*(9/16)
r^2 = 9/16
r = sqrt(9/16) or r = -sqrt(9/16)
r = 3/4 or r = -3/4
Now that we know what r is, we can determine the second term
If r = 3/4, then,
(16/9)*r = (16/9)*(3/4) = 4/3
Or if r = -3/4, then,
(16/9)*r = (16/9)*(-3/4) = -4/3
So the second term is either 4/3 or -4/3 depending on which r value you go for.
The missing dimension in the figure given in the question is 9 ft
<h3>Data obtained from the question</h3>
- Diameter of small circle = 24 in
- Height of small circle = 8 in
- Height of big circle = 3 ft = 3 × 12 = 36 in
- Diameter of big circle (d) = ?
<h3>How to determine the missing dimension</h3>
Diameter of small circle / Diameter of big circle = Height of small / Height of Big
24 / d = 8 / 36
Cross multiply
d × 8 = 24 × 36
d × 8 = 864
Divide both sides by 8
d = 864 / 8
d = 108 in
Divide by 12 to express in feet
d = 108 / 12
d = 9 ft
Thus, the missing dimension is 9 ft
Learn more about similar figures:
brainly.com/question/11790189
#SPJ1
#2. (-10, 0) (-10, -8) (0, -8)
#3. (-10, 0) (-10, 8) (-7, 8)
#4. (-10, 0) (-7, 0) (-7, 8)
#8. (0, 8) (0, 0) (8, 0) (10, 4)
#9. (-7, 0) (-7, 8) (0, 8) (0, 0)
#10. (-10, 0) (0, 0) (0, -8)
Not sure about the others. Hope this helps, though.
The answer is the function is not one to one