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zhuklara [117]
3 years ago
11

5+ 3 cos ½x = 7how to find the x?​

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

x=\pm 2 arcos(\frac{2}{3})+4k\pi

where k is an integer

Step-by-step explanation:

5+3\cos(\frac{1}{2}x)=7

We are going to isolate the trig expression first.

Subtract 5 on both sides:

3\cos(\frac{1}{2}x)=2

Divide both sides by 3:

\cos(\frac{1}{2}x)=\frac{2}{3}

Now since \cos(u) is even then \cos(u)=\cos(-u).

So we have:

\cos(\frac{1}{2}x)=\frac{2}{3}

implies:

\frac{1}{2}x=arccos(\frac{2}{3})+2k\pi

Multiply both sides by 2:

x=2arccos(\frac{2}{3})+4k\pi

or

-\frac{1}{2}x=arcos(\frac{2}{3})+2k\pi

Multiply both sides by -2:

x=-2arccos(\frac{2}{3})-4k\pi

So we can say the solution is:

x=\pm 2arcos(\frac{2}{3})+4k\pi

(k is an integer)

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Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Fynjy0 [20]

Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

<em>I</em> = <em>Prt</em> and <em>A</em> = <em>P</em>(1 +<em> rt</em>) , where:

  • A = Total Accrued Amount (principal + interest)
  • P = Principal Amount
  • I = Interest Amount
  • r = Rate of Interest per year in decimal
  • t = Time Period involved in months or years

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

∴ t = 5

∴ r = 15% = \frac{15}{100} = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

∴ She will pay $7,500 interest over the 5 years

→ Let us find A

∵ A = 10,000(1 + 0.15×5)

∴ A = 17,500

∴ She will have to pay back $17,500 in total

5 0
3 years ago
The length of a rectangle is 16m greater than the width. If the perimeter of a rectangle is 256m, what is the width of the recta
kkurt [141]

Answer:

L=16+W

2W+2(16+W)=256

2W+32+2W=256

4W=224

W=56

3 0
3 years ago
one yard company charges $50 a month to mow and edge a lawn plus $10 an hour for the worker. A second conpany charges $60 a mont
AnnyKZ [126]
The cost of company 1: 10x+50
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The cost will be the same at:
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What is the rate of change?<br> X<br> у<br> 2.<br> 0<br> 3<br> 0<br> 4<br> 0
Nimfa-mama [501]

Answer:

m=0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from chart.</em>

Point (2, 0)

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<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.  Rate of change and slope are identical.

  1. Substitute [SF]:                     m=\frac{0-0}{3-2}
  2. Subtract:                               m=\frac{0}{1}
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3 years ago
Use the figure shown below to complete the sentence.
kumpel [21]

Answer:

where is the figure shown???

Step-by-step explanation:

5 0
3 years ago
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