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densk [106]
3 years ago
10

Find the acute angle that satisfies this given equation in degree

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

30° = π/6 radians

Step-by-step explanation:

sin θ = 1/2

θ is acute, so it is in the first quadrant.  From the unit circle, sin θ = 1/2 when θ = 30°, or π/6 radians.

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Put the following equation of a line into slope-intercept form, simplifying all
igomit [66]

Answer:

y = 1/4x - - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

8y - 2x = -72

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Add 2x on both sides:                    8y = 2x - 72
  2. Divide 8 on both sides:                  y = 1/4x - - 9
3 0
3 years ago
Read 2 more answers
What is m&lt;2?<br> What is m&lt;1?
babunello [35]

Answer:

Angle 2 = 75 degrees

Angle 1 = 105 degrees

3 0
3 years ago
Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to
Tcecarenko [31]

Answer:

51 meters

Step-by-step explanation:

The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.

As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,

The length of fencing = The length of the diagonal AC or BD

As the length of both the diagonals of a rectangle are equals, AC=BD.

The length of fencing =\sqrt{l^2+w^2} [length of the diagonal]

=\sqrt{45^2+24^2}=51 meters

Hence, Steve needs 51 meters of fencing.

5 0
4 years ago
Sam invested $48,000 some at 6% interest and the rest at 10% . How much did he invest at each rate if he received $4,000 in inte
emmainna [20.7K]

<u>Answer with step-by-step explanation:</u>

We are given that Sam invested $48,000 at 6% interest and the rest at 10%. Given that he received $4,000 interest in one year, we are to find how much he invest at each rate.

Assuming the amount invested at 6% interest rate as x, we can write it as:

(\frac{6}{100} \times x)+(\frac{10}{100} \times [48000-x])=4000

0.06x+0.1(48000-x)=4000

0.06x+4800-0.1x=4000

0.1x-0.06x=4800-4000

0.04x=800

x=20000

So the amount invested at 6% = $20,000 and amount invested at 10% = (48000 - 20000) = $28,000

3 0
3 years ago
Read 2 more answers
Who can answer this
Sophie [7]

Answer:

3

Step-by-step explanation:

Every time x increases by 1, y is multiplied by 3.

4 0
3 years ago
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