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3 years ago

13

Find the first term of the following geometric sequence _____, 42, 126, 378, 1,134, ...

1 answer:

mamaluj [8]3 years ago

6 0

Common ratio is 126/42 = 3
The first term is 42/3 = 14

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How to solve this :') please help

blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

$\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\$

Use $\cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1$

so

$\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}$

7 0

2 years ago

Find the area of the trapezoidal shown

Rufina [12.5K]

Answer:

may you show us the pic so we can help?

Step-by-step explanation:

6 0

2 years ago

Yuki888 [10]

Answer:

Radius: 8.5 inches

Area ≈ 226.98

Circumference ≈ 53.42

Step-by-step explanation:

2πr = formula for circumference of a circle

πr² = formula for area of a circle

radius of a circle = (1/2)d

3 0

2 years ago

The area of this rectangle is 4x2

meriva

Answer:

8 units squared.

Step-by-step explanation:

Assuming the numbers are the length and width, we can use the formula for finding the area of the rectangle.

The area should be eight units squared.

$a = l * w\\a = 4 * 2\\a= 8$

3 0

3 years ago

The graph of the function f(x)= 6/x-3 is shown below.

love history [14]

Answer:

x=3

Step-by-step explanation:

The vertical asymptote is the x factor

5 0

3 years ago

Read 2 more answers