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3 years ago

Please help ASAP Trigonometry

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now decide which parts we know and what we want to slove for and pick the function that has those in it

we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180

180 = 75 + 90 + X

15° = X

where x is the angle at that sharp point on the triangle

I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle

Tan(15) = Opp / 15

15* Tan(15) = Opp

4.0192 = Opp

so that's x

x = 4.0162 units , what ever they are

the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it

Cos(43)= 31 / Hyp

some algebra just to switch Hyp out of the denominator

Hyp = 31 / Cos(43)

some tapping on my calculator

Hyp = 41.714

That's x for the second triangle

x = 41.71 units , what ever they are

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dezoksy [38]

Total number of pastries = 54 + 31 + 10 = 95

Number of croissants = 10

Probability of picking a croissant = 10/95

On simplifying, we get, 2/19

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2 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is -7.

Hope this helped!

4 0

3 years ago

Read 2 more answers

Show your work (19−7)^( (2) ) −8*3+4*3−5

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

1 Simplify 19-7 to 12.

12^2−8×3+4×3−5

2 Simplify 12^2 to 144

144−8×3+4×3−5

3 Simplify 8×3 to 24.

144−24+4×3−5

4 Simplify 4×3 to 12.

144−24+12−5

5 Simplify 144-24 to 120.

120+12-5

6 Simplify 120+12 to 132.

132-5

7 Simplify.

127

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Answer:

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