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3 years ago

If b=17 and c=32, find A.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

7 0

Answer:

a=27.1

Step-by-step explanation:

We're given both b and c of the Pythagorean formula, hence we work backwards to find A:

$a^2+b^2=c^2\\a^2+17^2+32^2\\a^2+289=1024\\a^2=735\\\sqrt{a^2} =\sqrt{735}\\\\a=27.1$

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alisha [4.7K]

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Hope it heled.

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2 years ago

Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

4 years ago

8/5 of 3/7 is.......

EastWind [94]

Answer:

8/5×3/7=

8 × 3

5 × 7

= 24/35

Step-by-step explanation:

24/35

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3 years ago

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Arlecino [84]

Answer:

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Step-by-step explanation:

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3 years ago

Please help! Solve for g

7nadin3 [17]

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

5 0

3 years ago

Read 2 more answers