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3 years ago

Plsssss help meeeeeeee

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

Answer:

The value of x is 16

Step-by-step explanation:

In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b

a² + b² = c² ⇒ Pythagoras Theorem

In the given figure

∵ The right triangle has two legs of lengths 8√2, 8√2

∴ a = 8√2 and b = 8√2

∵ It has a hypotenuse of length x

∴ c = x

→ Substitute them in the rule above

∵ (8√2)² + (8√2)² = x²

∵ (8√2)² = (8)²(√2)² = (64)(2) = 128

∴ 128 + 128 = x²

∴ 256 = x²

→ Take a square root for both sides

∵ √256 = √(x)²

→ The root will cancel power 2 of x

∴ 16 = x

∴ The value of x is 16

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3 years ago

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3 years ago

cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

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We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
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3 years ago

Read 2 more answers

2 1/5 + 6 4/5 pls help

miss Akunina [59]

Answer:

2 1/5 + 6 4/5

= 2/5 + 24/5

= 26/5

= 5.2

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2 years ago