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irga5000 [103]
3 years ago
15

Tell whether the two ratios are proportional or not proportional 3/7=6/9

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
NO they are not proportional

3/7 = .4285714
6/9 = .66666
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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
Plz help ill give you brainlist
agasfer [191]
First, you need to know what a complementary angles are.
They are two angles that add up to 90 degrees.
If the number multiplied by 2 is 90, just to 90/2.
This gives you 45
8 0
3 years ago
Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​
erica [24]

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

8 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK AS BRAINLEST
laiz [17]
It is 16 because 3x16=48 and 4x16=64!
7 0
3 years ago
Read 2 more answers
The outer layer of the Earth is called the
aksik [14]
Crust is the answer  
5 0
3 years ago
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