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3 years ago

70. Evaluate c-3d when c = 1 and d = 1/3

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

$c - 3d = 1 - 3( \frac{1}{3} ) = 1 - 1 = 0$

I hope I helped you^_^

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What are the domain and range of this function?

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Answer:

domain: all real numbers

range: {y | y ≥ 0}

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3 years ago

Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

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$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

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3 years ago

Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6 cm. The same map shows that the mall is 31/2

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First simplify thanks

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4 years ago

How much time is between 9:25am then return home at 7 :10pm

torisob [31]

Answer: the answer is 9 hours 45 minutes

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3 years ago

19. A scale drawing of a doctor's office is shown. What are the

Digiron [165]

Answer: 40 by 60

Step-by-step explanation:

You are given a scale of 1 inches=20 ft

For the 2 inch dimension, you get:

2*20=40

For the 3 inch dimension, you get:

3*20=60

Therefore, the real dimensions of the doctors office from 2 in. by 3 in. are respectively 40 ft, by 60 ft.

Hope this helped!

6 0

4 years ago

Read 2 more answers