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Salsk061 [2.6K]
3 years ago
14

You are given that sin(a)=8/17, with a in quadrant ii, and sin(b)=−5/13, with b in quadrant iii. find cos(a−b)

Mathematics
1 answer:
masha68 [24]3 years ago
5 0
1.5 is the answer too your question sir thanks.
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Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C i
NARA [144]

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

c=\dfrac{3 * \sin 45}{sin 40}

Step-by-step explanation:

In Triangle ABC is shown.

\angle A B C= 95 degrees

\angle B C A = 45 degrees.

|AB|=c

|BC|=3.0 cm

\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ

Using the Law of Sines

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}

The correct option is B.

6 0
3 years ago
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What is the size of ∠ ABC shown in the above figure
SIZIF [17.4K]
A. thirty-five degrees
4 0
3 years ago
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In response to very high demand, a basketball jersey has been marked up by 25% and is now selling for $95.00. How much was the j
Fynjy0 [20]
I believe it would be 71.25%.


Hope this helps


Have a nice day.
6 0
3 years ago
Can someone explain how to get the answer,<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B105%7D%7B2%7D%20" id="TexFormula1"
krek1111 [17]
\bf \cfrac{x}{5}-\cfrac{x}{7}=3\impliedby &#10;\begin{array}{llll}&#10;\textit{let's multiply both sides by }\stackrel{LCD}{35}\\&#10;\textit{to do away with the denominators}&#10;\end{array}&#10;\\\\\\&#10;35\left( \cfrac{x}{5}-\cfrac{x}{7}\right)=35(3)\implies 7x-5x=105&#10;\\\\\\&#10;2x=105\implies x=\cfrac{105}{2}
4 0
3 years ago
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Suppose that the division N/5 leaves a remainder of 4, and the division N/2 leaves a remainder of 1, what is the ones digit on N
Tju [1.3M]

Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.

<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>

<u />

Alternatively, the given information is equivalent to saying

N\equiv 4\pmod5\\\\N\equiv1\pmod2

Then you can use the Chinese remainder theorem to find <em>N</em>.

7 0
2 years ago
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