3 years ago

Question 2

Mathematics

1 answer:

Klio2033 [76]3 years ago

6 0

Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

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<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.

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

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

4 0

3 years ago

It takes 200 minutes to jog 4 miles how many minutes does it take to jog 1 mile

blsea [12.9K]

Answer:

50 minutes

Step-by-step explanation:

200÷4 = 50 minutes

4 0

3 years ago

Read 2 more answers

I would like to know how to do these problems

miv72 [106K]

Hm. good question! multiply 5x2 i believe, which should be 10. Hope I helped!

4 0

3 years ago

Two factors of 30 add up to 9 what are they

Readme [11.4K]

The factors of 20 are 1,2,3,5,6,10,15, and 30
6+3=9.

4 0

3 years ago

Allison is 5 ft tall. One afternoon her shadow measured 2.5 ft. At the same time, the shadow of her favorite tree was 14.5 ft. W

luda_lava [24]

At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree

8 0

3 years ago