Answer:
Personal items=15
Step-by-step explanation:
We are given:
Total number of artifacts = 72.
We are told that 2/3 of total artifacts are shards of pottery.

We are also told that 1/8 of total artifacts are tools.
Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.


Therefore, there are 15 personal items.
Answer:
12/7 is a improper fraction
Step-by-step explanation:
as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7
Answer:
90.80
Step-by-step explanation:
6x+4
= (6)(13)+4
= 78+4
=82
3x
=(3)(13)
= 39
So we know the sides are 39 and 82
Pythagoras theorem in triangles
= a2+b2= c2
Now, we know the value of a and B but not c (the hypotenuse)
Therefore,
c2 = (39)^2 + (82)^2
= 1521+ 6724
= 8245
so, c = √8245
= 90.80 unitd
Answer:
sin(x)-cos(x)
Step-by-step explanation:

Simplify the denominator:

Simplify the numerator:

Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:

Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>

Cancel out the common factor (sin(2x)):
-cos(x) + sin(x)
Simplify:
sin(x) - cos(x)
Answer:Search it up
Step-by-step explanation: