2^-2 = 1/2^2
so: (1/2^2)*(12*3)-5^3
simplify: (1/4)*36-125
36*(1/4) = 36/4 so: 9-125
subtract: -116
Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the bottom rectangle</u>



<u>Step 2: Determine the area of the back rectangle</u>



<u>Step 3: Determine the area of the top rectangle</u>



<u>Step 4: Determine the area of the triangle</u>




<u>Step 5: Determine the surface area</u>


Answer: 
Answer:
{(-14,9),(4,-7),(-8,6)}.
Step-by-step explanation:
To find the inverse you just swap x and y.
So if (a,b) is a point on the relation then (b,a) is on it's inverse.
So the inverse of {(9, –14), (–7, 4), (6, –8)} is:
{(-14,9),(4,-7),(-8,6)}.
Given :
Length of yarn, l = 225 yards.
Number of bracelets he made, n = 1000 .
To Find :
How long will the yarn be for each bracelet.
Solution :
Let, length of yarn used in each bracelet is x.
So,

Therefore, length of yarn used in each bracelet is 0.225 yard.
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5