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tatuchka [14]
2 years ago
8

Help please!!!!! Geometry

Mathematics
1 answer:
likoan [24]2 years ago
7 0

Answer:

We just finished this in geometry and i hated it lol but i think <DBA and <CBA are equal and AD=AC

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7​
motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

\displaystyle x_{n} = a\left(r\right)^{n-1}

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}

In conclusion, the 8th term of the sequence is 896/2187.

8 0
3 years ago
Evaluate: 16<br> A.256<br> B.32<br> C.8<br> D.4
Hitman42 [59]

Answer:

16 ^2 = 256  

16 x 2 = 32  

16 / 2 = 8  

16 / 4 = 4

4 0
3 years ago
3. Use De Morgan's laws to write an equivalent statement for the given sentence. If Ashley buys a house, then she will not buy a
Usimov [2.4K]
It’s A I just took the test
6 0
2 years ago
Which of the following is an example of a quadratic equation?
lyudmila [28]

its b

Step-by-step explanation:

6 0
3 years ago
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )



3 0
3 years ago
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