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antoniya [11.8K]
2 years ago
7

(b) 2sin(theta) + 1/sin(theta) - 1 = 0 for 0 <_ x < 2x

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

Answer:

2 - 2 cos²x = sin x

2 = sin x + 2 cos² x

0 = -2 + sin x + 2(1 - sin² x)

0 = -2 sin² x + sin x + 2 - 2

0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)

sin x = 0 v sin x = 0.5

x10° + k.360° x1 = 0°, 360°

x2 = (180° - 0°) + k.360°

x2 = 180°

x3 = 30° + k.360°

x3 = 30°

x4 = (180° -30°) + k.360° x4 = 150°

HP: {x | 0°, 30°, 150°, 180°, 360°)

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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
2 years ago
9 time as many as 5 is 45
Nonamiya [84]
9 times 5 equals 45 so yes
8 0
3 years ago
Read 2 more answers
Is the DIAMETER of a circle proportional to its circumference???
Elodia [21]

Answer:

Is the DIAMETER of a circle proportional to its circumference??

1. One of the unique qualities of a circle is that its diameter and circumference have a proportional relationship.

2. This means that no matter what size the circle is, the proportional relationship, or ratio, between its circumference and diameter is always the same.

Is the RADIUS of a circle proportional to its area??

1. Yes, the circumference of a circle is proportional to its radius.

2. Double the radius and you double the circumference.

3 0
3 years ago
A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?
frozen [14]
4 Oranges, 310 divided by 5= 64, 64 times 4=248.
6 0
2 years ago
Please help me solve
Law Incorporation [45]
CL ≈ AE and HG≈ZR and ∠L≈∠E as both triangles are isosceles so CL=HL and AE=EZ
so HL≈AE≈ZR≈EZ so according to side angle side ΔCLH andΔ AZE both are congruent so side CH≈AZ
4 0
3 years ago
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