Answer:
If two powers have the same base then we can multiply the powers. When we multiply two powers we add their exponents.
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
note that 4096 = , then
=
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
C
Step-by-step explanation:
A is incorrect because -3.1 is rational.
B is incorrect because 1.14 repeating is rational.
C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.
D is incorrect because pi is irrational.
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
Answer:
goes into the box
Step-by-step explanation:
Let the number be , then
We now use the following property of exponents to simplify the left hand side of the equation.
This implies that;
Since the bases are the same, we equate the exponents to get;
We now multiply both sides by 3 to get;
Therefore the number that goes into the box is