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Andrew [12]
3 years ago
5

If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.
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Find the value of X in the following rectangle if the area is 180 square inches
andrezito [222]
Hello!

You find the area of a rectangle by the equation A = lw

A is area
l is length
w is width

Put in the values you know

180 = 3x * 6

Now you solve it algebraically

Divide both sides by 6

30 = 3x

Divide both sides by 3

10 = x

The answer is 10in

Hope this helps!
7 0
2 years ago
Convert y = 8x^2-80x-32 to vertex form by completing the square. ​
lidiya [134]

Answer:

y = 8(x-5)^2 -232

Step-by-step explanation:

Factor out the 8 to get

y = 8(x^2-10x-4)

y = 8(x-5)^2 -232

8 0
2 years ago
Read 2 more answers
Choose the Athat seems to be congruent to the given one.
julia-pushkina [17]

Answer:

a. ∆EGF ≅ ∆EGD

Step-by-step explanation:

Congruent triangles would have the same side lengths and the same measure of angles.

From the figure given:

EG in ∆EGF ≅ EG in ∆EGD

GF in ∆EGF ≅ GD in ∆EGD, also

EF ≅ ED.

The three angles in ∆EFG are also congruent to the three angles in ∆EGD.

Therefore, ∆EGD is congruent to ∆EGF.

∆EGF ≅ ∆EGD

7 0
2 years ago
To compare 5 in tens place to 5 in the hundreds place in the number 5,555
galina1969 [7]

Answer:

I'm not sure what you are asking for?

Step-by-step explanation:

The 5 in the tens place = 50, and the 5 in the hundreds place = 500.

To compare them (Are you asking me for the difference between them???), then, 500 - 50 = 450.

But, again, I'm not sure what you want.

6 0
3 years ago
Suppose you have $23,000 that you are going to invest at a 7% interest rate compounded quarterly. According to the compound inte
andrew11 [14]
YAAS! I literally learned this just a few weeks ago. (I am not actually a high school senior) First, convert 7% to a decimal, which is 0.07. Then multiply 0.07 by 23,000, giving you 1,610. This is your unit rate. I will though, need you to be more specific on "compounding quarterly" because I actually do not know what that means.
5 0
3 years ago
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