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Yuliya22 [10]
3 years ago
14

Evaluate: (sec²37° -cot²53°)tan21°tan69°-sin51°cos49°-cos51°sin49°

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
= 1 * 1 - (sin (51 + 49)

= 1 - 0.9848 
= 0.0152  answer
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<img src="https://tex.z-dn.net/?f=%20-%203%20%2B%205i%20%20%5Cdiv%20%20-%203%20-%204i" id="TexFormula1" title=" - 3 + 5i \div
Likurg_2 [28]

Answer:

\frac{-11}{25}+\frac{-27}{25}i given you are asked to simplify

\frac{-3+5i}{-3-4i}

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is \frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i

6 0
3 years ago
I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is pa
bearhunter [10]
I = prt

p = 7430
r = 5%....turn to decimal = 0.05
t = 3

I = (7430)(0.05)(3)
I = 1114.50 <===
4 0
3 years ago
Read 2 more answers
Erin loves to eat cereal!
adoni [48]
To answer the question above, calculate the price per ounce of cereal of each local grocery stores
Save-Some-More       $0.33 / ounce
Save-The-Most           $0.28 / ounce
Spend-Less-Money    $0.27 / ounce
Cheap-Food                $0.3 / ounce

Thus, the final arrangement should be: (1) Spend - Less-Money, (2) Save-The-Most, (3) Cheap-Food, (4) Save-Some-More

4 0
3 years ago
8 times the difference of 2 and a number
ankoles [38]
Hello There!

It would be 8(2-x)

Hope This Helps You!
Good Luck :) 

- Hannah ❤
3 0
3 years ago
Read 2 more answers
Examine the diagram. It is not drawn to scale.<br><br> What is the m_3?<br> m_3=
Furkat [3]

Answer:

I think 12 I don't know if it's right or not but I tried

3 0
3 years ago
Read 2 more answers
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