Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to
where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B
we have
substitute
step 2
Find the volume
we have
substitute
Given the the two angles find the missing angle of P which is 30 degrees.
Since angle P and C are identical their sides are congruent.
The hypotenuse, the largest side is PC because it corresponds to angle T
Using Pythagorean Theorem
a^2 + b^2 = c^2
(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)
Someone fact check plz
<h3>
Answer: 56/65</h3>
Work Shown:
sin(angle) = opposite/hypotenuse
sin(F) = EG/FE
sin(F) = 56/65
Refer to the diagram below.
<u>Answer:</u>
<u>As the number of copies increases The dimension of images continues to decrease until reaching 0. </u>
<u>Step-by-step explanation:</u>
Remember, that the term dimension refers not to an unlimited/unending length but to a specific measurable length.
Therefore, as both copy machines reduces the dimensions of images that are run through the machines over time the dimensions of images would decrease until reaching 0; Implying that the dimension is so small to be invisible, in a sense becoming 0.
Let X is the random number Erik thinks of, and Y is the random number Nita thinks of.
Both X and Y are in the range from 0 to 20.
<span>X<=20
Y<=20
If the difference between their two numbers is less than 10, then Erik wins.
The difference between the two numbers can be written X-Y, or Y-X depending on which number (X or Y) is greater. But we do not know that. In order not to get negative value, we calculate absolute value of X-Y, written |X-Y| which will give positive value whether X is greater than Y or not.
If |X-Y|<10 Erik wins.
</span><span>If the difference between their two numbers is greater than 10, then Nita wins.
</span><span>If |X-Y|>10 Nita Wins
</span>
