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4 years ago

How do i do question 3 a b c

Mathematics

1 answer:

viva [34]4 years ago

3 0

Answer:

a) 240°

b) 30°

c) 225°

Step-by-step explanation:

To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of sin is arcsin, and the inverse of tan is arctan. Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.

sin(θ) = -√3/2

θ = arcsin(-√3/2)

θ = -60°

Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).

tan(θ) = 1/√3

θ = arctan(1/√3)

θ = 30°

csc means cosecant, by definition:

csc(θ) = 1/sin(θ)

csc(θ) = -√2

1/sin(θ) = -√2

sin(θ) = -1/√2

θ = arcsin(-1/√2)

θ = -45° or 360-45 = 315° or 180+45 = 225°

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ser-zykov [4K]

Answer:

2400 grams

Step-by-step explanation:

The bears are fed from a 4 kg bucket each day. If the bears eat 3/5 of that bucket, therefore, the amount of fish that the bears eat is:

3 / 5 * 4 = 2.4 kg

Converting this to grams:

1 kg = 1000 g

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6 0

3 years ago

Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

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

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

3 years ago

You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r

Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the card owner's duties and liabilities.

You have to tell your card issuer, either by writing or by phone. This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a "full liability for unauthorized debit charges."

Thus, this explains the answer.

3 0

3 years ago

Please answer & answer quickly please

nadezda [96]

Answer:

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Step-by-step explanation:

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3 years ago

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musickatia [10]

Answer:

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8 0

2 years ago