2 years ago

Triangle ABC is similar to triangle DEF. Find the value of side length DE. Side length DE is cm.

Mathematics

1 answer:

Art [367]2 years ago

5 0

Answer:

??? I can't see the picture

Step-by-step explanation:

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Find the product of (2a + 3b) (2a + 3b) using identities

Step2247 [10]

Answer:

4a^2 + 12ab + 9b^2.

Step-by-step explanation:

Use the identity (a + b)(a + b) = a^2 + 2ab + b^2 :

(2a + 3b)(2a + 3b)

= (2a)^2 + 2*(2a)(3b) + (3b)^2

= 4a^2 + 12ab + 9b^2.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2

guapka [62]

Step-by-step explanation:

$\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

Use the identity

$\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}$

on the left side.

$\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

Now use the identity

$\sin \theta = \cos(\frac{\pi}{2} - \theta)$

on the left side.

$\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

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2 years ago

Name the property the equation illustrates.<br><br> (ab)3 = a(b3)

Tju [1.3M]

The property that illustrates (ab)3 = a(b3) is
ASSOCIATIVE PROPERTY OF MULTIPLICATION

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3 years ago

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The median is not affected by the existence of an outlier true or false

REY [17]

True.

The median is the middle number when all numbers are placed in order, and so an outlier will not affect the median.

It well however affect the range and mean

Hope this helps

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3 years ago

What is the approximate area of the shaded region?

vladimir2022 [97]

The answer is 13.76 meters squared.

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3 years ago

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