We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
or, 
or, 
or, 
or, 
Substituting the value of in ∠QPR we get,
∠QPR = 
or, ∠QPR = 
Hence,
The value of ∠QPR is 40°.
a very fast way to do it:
Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.
Therefore, the answer is 
Answer:
$51.70 is the original price
Step-by-step explanation:
Step 1:
Turn 40% into a decimal which makes it 0.40
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,
Solving the left side of our equation gives us 1x - 0.40x = 0.60x
so now you have: 0.60x = 31.02
Step 3:
Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70
Answer: B
Step-by-step explanation:because my teacher said she having trouble
