Answer: A. 31.5
Step-by-step explanation:
Using law of cosine because it is side angle side
a=16
b=21
angle = 116
c^2=a^2+b^2-2ab cosC, let C be the angle given
c^2=(21)^2+(16)^2-2(16)(21) cos(116)
c^2=441+256-672 cos(116)
i used a ti-89 and answered the right side and got
(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)
991.585
c^2=991.585
take square root of both sides
=31.4894, which if you round it up it would be 31.5, so the answer would be A
therefore:
a=16
b=21
c=31.5
Using properties of logarithms:
log(m+n) = log(m.n)
log(m-n) = log (m/n)
we get,
log(32x16/64)
On simplifying:
log(8)
and 8= 2^3
therefore,
log(2^3)
again using another property for exponents in logarithms we get:
3 log 2 <---- Answer
Turn it into an improper fraction: 23/8 <span>÷ 11/3
Keep the 23/8, change the division sign to a multiplication, and flip the 11/3 so now it's: </span>23/8 x 3/11
Then multiply them to get the
Answer: 69/88
Answer:
x=4
Step-by-step explanation:
If all the figures are similar, we'll have to shrink them at the same rate as the rest.
The ratio here is 2/5. So,
2/5 = 6.4/16
2/5 = x/10
x=4
Answer:
25
Step-by-step explanation:
180-90-65 = 25
Opposite angles are same
