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mixer [17]
2 years ago
6

Round 6.1769237724 to the nearest hundredth

Mathematics
1 answer:
patriot [66]2 years ago
8 0
6.177 is the answer
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Help
Art [367]

\huge\fbox{Answer ☘}

\bold{3( \frac{27}{8} ) {}^{ \frac{2}{3}  \times  - 1}  = 2( \frac{32}{243} ) {}^{2x} }\\  \\3(( \frac{3}{2} ) {}^{3} ) {}^{ \frac{2}{3} \times  - 1 }  = 2(( \frac{2}{3} ) {}^{5} ) {}^{2x}  \\\\ 3( \frac{3}{2} ) {}^{2 \times  - 1}  = 2( \frac{2}{3} ) {}^{10x}  \\\\ 3( \frac{2}{3} ) {}^{2}  = 2( \frac{2}{3} )  {}^{10x}  \\\\ 3( \frac{4}{9} ) = 2( \frac{4}{9} ) {}^{5x}  \\\\\bold\pink{ comparing \: powers }\\\\5x = 1 \\\\ \bold\blue{x =  \frac{1}{5} }

hope helpful~

5 0
2 years ago
I need help, please because i don't understand this
maw [93]

Answer:

C. 2x + 6

Step-by-step explanation:

After doing synthetic division (see attached), you get 2, 6, and 0, corresponding to the answer 2x + 6.

5 0
3 years ago
........................​
shtirl [24]

Answer:

Step-by-step explanation:

Figure (1)

x° = 107° [Vertically opposite angles]

Since, vertical angles are equal in measure.

Figure (2)

x + 71° = 90° [Given, complementary angles]

x = 90° - 71°

x = 19°

Figure (3)

x + 21° = 180° [Given as supplementary angles]

x = 180° - 21°

x = 159°

Figure (4)

x = 129° [Vertical angles]

Figure (5)

x° = 90° [Given]

z° + 34° = 90°

z° = 90° - 34°

z° = 56°

Since, x° + y° + z° = 180° [Linear angles]

90° + y° + 56° = 180°

y° + 146° = 180°

y° = 180° - 146°

y° = 34°

7 0
2 years ago
The length of one side of a triangular lot is 6 m less than 3 times the length of the second side. The third side is 8 m longer
Tanya [424]

second side = x

first side = 3x - 6

third side = (3x - 6) + 8

The perimeter = 80m and is equal x + (3x - 6) + [(3x - 6) + 8]

x + 3x - 6 + 3x - 6 + 8 = 80

7x - 4 = 80 |+4

7x = 84 |:7

x = 12 m

3x - 6 = 3(12) - 6 = 30 m

(3x - 6) + 8 = 3x + 2 = 3(12) + 2 = 38 m

Answer: 12m, 30m, 38m

8 0
3 years ago
Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =
Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

<u>y = C₁ + C₂cos 3x + C₃sin 3x</u>

Given:

y(0) = 6

Thus, Applying in the above equation, we get

<u>6 = C₁ + C₂ .......................................................1</u>

Differentiating y , we get:

<u>y' = -3C₂sin 3x + 3C₃cos 3x</u>

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

<u>9 = 3C</u><u>₃</u>

or,

<u>C</u><u>₃</u><u> = 3</u>

Differentiating y' , we get:

<u>y'' = -9C₂cos 3x - 9C₃sin 3x</u>

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

<u>18 = -9C</u><u>₂</u>

or,

<u>C</u><u>₂</u><u> = -2</u>

Applying in equation 1 , we get:

<u>C₁ = 8</u>

Thus,

<u>y(x) = 8 - 2cos 3x + 3sin 3x</u>

4 0
3 years ago
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