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3 years ago

Log6 1/36 natural log or base 10 log?

1 answer:

4 0

The expression Log6 1/36 is patterned to the standard form of logarithmic function of Loga b where a is the base. In this case, this can be expressed into log (1/36) / log 6. The answer is equal to -2. This can be verified by the equation 6^-2 is equal to 1/36

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PLeAsE i NeEd HeLp!!!!

olya-2409 [2.1K]

Answer:

DF = 10 units

$m\angle DFG = 28^\circ$

EG = 5.04

Step-by-step explanation:

Properties of Rhombus es

All Sides Of The Rhombus Are Equal.
The Opposite Sides Of A Rhombus Are Parallel.
Opposite Angles Of A Rhombus Are Equal.
In A Rhombus, Diagonals Bisect Each Other At Right Angles.
Diagonals Bisect The Angles Of A Rhombus.

The image contains a rhombus with the following data (assume the center as point O):

DO = 5 units

GF = 5.6 units

$m\angle FEO = 62^\circ$

4. Calculate DF

Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:

DF = 10 units

5. Calculate $m\angle DFG$

Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.

Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

$m\angle DFG = 28^\circ$

6. FG is the hypotenuse of triangle OFG, thus:

$OG^2=FG^2-OF^2$

$OG^2=5.6^2-5^2$

$OG^2=6.36$

$OG=\sqrt{6.36}=2.52$

EG is double OG: OG=2*2.52=5.04

EG = 5.04

5 0

3 years ago

Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive fo

Marina CMI [18]

Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

And the recursive formula is .

y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

So, Explicit formula= n²+ 2 n, where n is a whole number.

HOPE THIS HELPS!

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