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2 years ago

I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!

Mathematics

1 answer:

gulaghasi [49]2 years ago

8 0

If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

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RSB [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

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$\int _{-2}^2x^2dx=\frac{16}{3}$

similarly solving

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computing the boundaries

$=16$

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$\int _{-2}^24dx=16$

Therefore, the expression becomes

$A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx$

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The area is negative because it is below the x-axis. Please check the attached figure.

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Answer:

Step-by-step explanation:

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-------------------add

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Please help!

siniylev [52]

Answer:

The answer is 72

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