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3 years ago

3^5 * 9^5 = 3^n Find n please

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Answer:

In this equation n = 15

Step-by-step explanation:

In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.

3^5 * 9^5 = 3^n

3^5 * (3^2)^5 = 3^n

3^5 * 3^10 = 3^n

3^15 = 3^n

Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n

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A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5

Luba_88 [7]

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

<em>From the attachment, we want to determine that x be greater than 10.5</em>

Using sin formula:

$Sin\ 64 = \frac{x}{12}$

Multiply through by 12

$x = 12 * sin\ 64$

$x = 12 * 0.8988$

$x = 10.79$ (Approximated)

<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>

sin64 = x/12

x = 12* sin64

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2 years ago

Divide x^4-x^3+4x+2 by x^2+3

Luden [163]

Answer:

i tried on a calculator and it gave me 211.125

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2 years ago

Which statement describes the polygon? A. The polygon is equilateral but not equiangular. B. The polygon is equiangular but not

matrenka [14]

B.t<span>he polygon is equiangular but not equilateral. this should be correct </span>

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3 years ago

Read 2 more answers

Jordan earns $15.35 per hour. on Tuesday , Jordan clocked in at 7:45 Am then clocked out for a break at 12:15 am and working unt

Vaselesa [24]

12:45Answer:

Part A: 9 hours 45 minutes

Part B: $126.1575

Step-by-step explanation:

Part A,

From 7:45 to 12:15 is 4 hours and 30 minutes

From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.

4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.

Part B, 9 hours and 45 minutes can be represented as 9.45

And since he gets 15.35 "per" hour shows we can multiply.

15.35 x 9.45 = 126.1575

Therefor he earned 126.15.

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3 years ago

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stiv31 [10]

Answer:

<h3>Step-by-step explanation:</h3>

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3 years ago