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VARVARA [1.3K]
3 years ago
12

What property does this equation illustrate? 24(70+5)=24(70)+24(5)

Mathematics
1 answer:
gladu [14]3 years ago
7 0
It illustrates distributive property 
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Prove that tan2A is equal to 2tanA/1-tan^2A
Neko [114]

\tan(2\alpha)=\dfrac{2\tan \alpha }{1-\tan^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha}}{1-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha}{\cos^2\alpha}-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha-\sin^2 \alpha}{\cos^2\alpha}}

\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha}{\cos\alpha} \cdot\dfrac{\cos^2\alpha}{\cos^2\alpha-\sin^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha\cos\alpha}{\cos^2\alpha-\sin^2 \alpha} \\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\sin(2\alpha)}{\cos(2\alpha)}

8 0
3 years ago
Read 2 more answers
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for
GenaCL600 [577]

Answer:

Step-by-step explanation:

it's about 18,  as per the graph

4 0
3 years ago
Can someone help me with this question please?
olga nikolaevna [1]
Here you go, hope this helps. If you need help with anything else feel free to reply to this comment

8 0
4 years ago
Sue wants to increase 160 by 4%
ivann1987 [24]

Answer:

a) To increase 160 by 4% we multiply by 1.04

b) To decrease 160 by 6% we multiply by 0.94

Step-by-step explanation:

a) Here we have to increase 160 by 4% we are to note that;

4 \% = \frac{4}{100} = 0.04

Therefore, increasing 160 by 4% is to add additional 0.04×160 to 160

That is 160 + 0.04×160 = 160×(1 + 0.04) = 160×1.04

Therefore Sue should have multiplied 160 by 1.04 to increase 160 by 4%.

b) Here to decrease 160 by 6%, we subtract 6% of 160 from 160 that is;

Decrease 160 by 6% = 160 - 160×0.06 = 160×(1 - 0.06) = 160 × 0.94 = 150.4

Hence to decrease 160 by 6% we multiply by 0.94.

8 0
4 years ago
HELP ME!!! 3 more questions!!! To go!!!
ivolga24 [154]

I guess that <em>d</em> is the distance you can see? Since they don't mention it in the question.


30.65 = (5/6)√h ← Divide both sides by 5/6, or multiply by 6/5

(6/5)30.65 = √h

36.78 = √h ← Square both sides to get h

h = 1352.76 or D

3 0
4 years ago
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