Answer:


Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.

In this case:

Open Bracket



Collect Like Terms


Solving using quadratic formula:

So:
or 
Since, x can't be negative, then:

One of the leg is:






Answer:
x = 50°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360°
360 - 40 - 80 - 110 = 130
130 is the measure of the quad that is adjacent to the angle of x° and is supplementary to that angle also.
Therefore, x = 180 - 130 = 50
Answer: 12
Step-by-step explanation:
this is a right angled triangle so you use the pythagorean theory
which is a^2 + b^2 = c^2
you have c and b already. c is the hypotenuse.
a^2 + 16^2 = 20^2
a^2 + 256 = 400
a^2 = 400 - 256
a^2 = 144
then you square root 144 and get..
a = 12
Answer:
17 terms
Step-by-step explanation:
131072 = 2^17
8 = 2^3
4 = 2^2
2 = 2^1
Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.
Answer:
300 in³
Step-by-step explanation:
By definition, volume of a pyramid,
= (Base Area x height ) / 3
= (90 x 10) / 3
= 900/3
= 300 in³