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3 years ago

Can you help me find the answer

Mathematics

2 answers:

Makovka662 [10]3 years ago

7 0

Answer:

quadrilateral

and

pentagon

In-s [12.5K]3 years ago

4 0

Answer:

1. Trapezium

2.Pentagon

(Irregular)

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Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$

$9 + {x}^{2} = 25$

${x}^{2} = 16$

$x = 4$

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

$- \frac{3}{5} \times \frac{5}{13} + - \frac {4}{5} \times \frac{12}{13}$

$- \frac{15}{65} + ( - \frac{48}{65} )$

$- \frac{63}{65}$

Hope this helps

6 0

3 years ago

The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how m

tatiyna

Do 6x 266 in your calculator that’s ur answer

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3 years ago

In this polygon, which angle is an exterior angle?

Zigmanuir [339]

Answer:

The correct answer would be: D

Step-by-step explanation:

C is an interior angle, so it is out of question.

That leaves D, A, and B.

A and B are not correctly put in my opinion, because both angles are put in a circle probably suggesting it is equal to 360°, even though a whole trapeziods exterior angle alone is not supposed to equal to 360° because the entirety of it is supposed to be equivalent to that amount.

Leaving D, being the correct answer

I hope this helps

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3 years ago

WILL MARK BRAINLIEST!!!

deff fn [24]

Answer:

-3.872983346

Step-by-step explanation:

In this case we have: cos θ = 1/4 Whose possible solutions are: θ = 2 * pi * n - Acos (1/4) θ = 2 * pi * n + Acos (1/4) Where, n belongs to the natural numbers. As sin θ <0 then the solution is: θ = 2 * pi * n - Acos (1/4) For n = 1 we get: θ = 4.965069236 radians Thus: tan θ = tan (4.965069236) = - 3.872983346 Answer: tan θ = -3.872983346

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3 years ago

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If RST equals NPQ, which of the following are true?

amid [387]

I think the answer is T equals Q

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3 years ago