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mylen [45]
3 years ago
9

What happens to the Law of Cosines if the known angle is 90 degrees?

Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

It transforms  to the Pythagoras theorem.

c^2  = a^2 + b^2 - 2ab cos C

If C = 90,  cos C = zero so the last term disappears.

c^2  = a^2 + b^2 - 2ab * 0

c^2 = a^2 + b^2.

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B2-4b+4=0 using quadratic forumla
Ivan

Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
                     <span>b2 - 2b</span> - 2b - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
                    b • (b-2)
              Add up the last 2 terms, pulling out common factors :
                    2 • (b-2)
Step-5 : Add up the four terms of step 4 :
                    (b-2)  •  (b-2)
             Which is the desired factorization

8 0
3 years ago
Read 2 more answers
7x10 to the 3rd power, write a pattern to find the value of the expression
myrzilka [38]
Scientific notation is used to express very large or very small values.
Numbers in scientific notation are written in the form of  
m × 10 to the power of n
For example:
500 is written as 5 x 10^2 where:
500 = 5 x 10 x 10

Now, let's consider 7 x 10^3:
Following the same procedure:
7 x 10^3 = 7 x 10 x 10 x 10 = 7000
The pattern can be written as:
7 x 10^3 = 7 x 10 x 10^2 
              = 70 x 10^2
              = 70 x 10 x 10^1
              = 700 x 10
              = 7000
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3 years ago
What is the equivalent of 4 meters?
lesya692 [45]
The equivalent of 4 meters is 4.374 yards
6 0
3 years ago
Esther is pregnant and preparing for the birth of her first baby. In college, she ran up a large credit card bill and is still t
Yuki888 [10]

Answer:use money she planned to spend on her medical bills to pay her credit card

5 0
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Ashley is making cookies for
allochka39001 [22]

Answer:

1.6 cups of sugar

Step-by-step explanation:

0.4 cups per batch.

4 batches.

Total sugar required = 0.4 x 4

= 1.6 cups of sugar

8 0
3 years ago
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