Answer:
x=4
Step-by-step explanation:
6^x = 1296
Take the log base 6 on each side
log6(6^x) = log6(1296)
Rewrite 1296 as 6^4
x = log 6(6^4)
We know that log( a^b) = b log (a)
x = 4 log6(6)
We know that loga(a) =1
x = 4 *a
x =4
Answer:
-83 1/3 > -83.518
Step-by-step explanation:
-8 1/3 = -8.333333...
P=2l+2w
W=7+3l
So substitute into the original equation
P=2l + 2(7+3l)
78=2l +14 + 6l
-14 -14
—————-
64=8l
8=length
W=7+3l
= 7+3(8)
=7+24
=31
Check your work
Perimeter=8+8+31+31
=78
Hope this helps
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that
a=44 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so
a=4, b=4√3, and c=8
Making your answer
B