Answer:
130.54°
Step-by-step explanation:
The formula for law of cosines is c^2= a^2+ b^2 -2ab cos(C),
a,b, and c are the sides of the triangle. C is the angle opposite to the side c.
To solve this problem add the given values into the formula, and solve for C.
10^2=5^2+ 6^2- 2(5)(6) cos(C)
100=25+36 - 2(5)(6) cos(C)
100=25+36 -60 cos(C)
100=61 -60 cos(C)
39= -60 cos(C)
cos^-1 (-39/60)= C
130.54°=C
Here you are. See attachement
Answer:
The bracelet will cost 85$ and it'll have 2 charms.
Step-by-step explanation:
In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:
Oak Grove:
total cost = 16*charm + 53
Sandoval:
total cost = 27*charm + 31
We then find the number of charm that'll make them equal, since the price has to be the same on both shops:
16*charm + 53 = 27*charm + 31
27*charm - 16*charm = 53 - 31
11*charm = 22
charm = 2
The cost of the bracellet is:
total cost = 27*2 + 31 = 85 $
<span>The so factor's are, 1 and 1.
<u>First Factor 21:
</u>1x21= 21
<u>Second Factor 20:
</u>21+0 = 20<u>
</u>
</span>It's simple, you just have to think about it!
Hope this help's!
The expression for which you want to find an equivalent form is:
Answer:
Here there are 3 equivalent expressions:
Explanation:
There are many equivalent forms that you can find, so I will show some of the most important.
The first step that you should do is to put the radicand number (the number inside the root, i.e. 3) as a product of its prime factors. Thus the first equivalent expression is:
Now you can simplify the root index, 4, with the exponent of the radicand, 2, an you get a new equivalent:
Another equivalent form is obtained if you convert the 1/2 index (before the x) into a root index:
The main properties used to find those equivalent expressions are:
And: