Step-by-step explanation:
First find the angle BAC
BAC= 180 -(90+50) ( interior angle of triangle is 180)
BAC= 180- 140
= 40 degrees
sin 40= opposite/ hypotaneus
sin 40 = 2/ hyp
0.6427 = 2/ hyp
hypotaneus = 2/ 0.6427
hypotaneus = 3.1118
AB= 3.1118
to nearest hundredth = 3.11
Answer:
Step-by-step explanation:
log(7)6+log(7)2^3
log(7)6+log(7)8
log(7)(8*6)
log(7)48 = > D is the correct answer.
Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have

<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to


substitute

Answer:
x = 1.5
Step-by-step explanation:
First, calculate 6-9, which is -3.
Then we add 9 on both sides so that on the left, we only have 4x, and on the right, we have 6.
Then divide by 4 on both sides to get x = 1.5
Well simply put we know that Celia's collection of cards is bigger because it tells us that it is 4/3 times bigger than franks. If you convert 4/3 to a percent you would see that is is over a hundred percent, so you know hers is bigger than his.