X=<span><span><span>43</span>y</span>+<span><span>−4</span><span>3 hope this helped</span></span></span>
Answer:
x=3
Step-by-step explanation:
log₂(3x-1)=3
(3x-1)=2³
3x-1=8
3x=8+1
3x=9
x=9/3
x=3
Answer:
(a) 150
(b) 384
(c) 84
(d) 261
(e ) 480
Step-by-step explanation:
(a)
Let 'a' be a number such that the half of his third is 25; i.e.
Hence, the number is 150.
(b)
Let 'b' be the number such that the quarter of his half is 48 i.e.

Hence the number is 384.
(c)
Let 'c' be the number such that the third quarter or, increased by 17 is 80.

Hence, the number is 84.
(d)
Let 'd' be the number such that its triplet, reduced by 28 is 755

Hence the number is 261.
(e
Let 'e' be the number such that double his third, increased by 80 is 400.

Hence, the value of the number is 480.
Answer:
78
Step-by-step explanation:
Answer:
sin(x) = cos(y)
Step-by-step explanation:
Let's figure out what sin(x) and cos(y) are before we figure out the relationship.
Sine is opposite / hypotenuse. Here, the opposite side to angle x is 12 and the hypotenuse is 13. So, sin(x) = 12/13.
Cosine is adjacent / hypotenuse. Here, the adjacent side of angle y is 12 and the hypotenuse is 13. So, cos(y) = 12/13.
Now we can see the relationship: sin(x) = cos(y)
In fact, for any right triangle with angles 90°, α°, and β°, where α and β can be any angle degree that add up to 90, the following relationships are true:
sin(α) = cos(β)
and
sin(β) = cos(α)