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2 years ago

Identifying Possible Triangles

Mathematics

1 answer:

Masja [62]2 years ago

5 0

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

8+5=13 not >14 (no triangle.)

7+8=15 not >15 (no triangle)

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

6+3=9 not >10 (not a triangle)

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3 years ago

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

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If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

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3 years ago

If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?

olasank [31]

Direct variation:
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y=144 when x=12.
$144=12k \\ k=\frac{144}{12} \\ k=12$

y=? when x=17.
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y=204 when x=17.

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2 years ago