Step-by-step explanation:
36b-40=6b+40b+10
36b-6b-40b=10+40
-10b=50
b=-50:10
b=-5
Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of 
The kite has an area of
so

therefore
The area of the trapezoid is less than the area of the kite
Π=180º
Cos(19π/6)=cos(19*180º/6)=cos (570º)=cos(210º+360º)=cos(210º)=
=-cos 30º=-√3 / 2≈-0.866...
Answer: cos(19π/6)=-cos 30º=-√3/2
Answer:
35g + 14k
Step-by-step explanation:
T = time D = drill
D(5G + 2K) = T
7(5g + 2k) = T
35g + 14k = T
Answer:
The selling price is: 
Step-by-step explanation:
Step 1: Identify the profit made
A profit of 14% is made on the article.
This means that the article was sold at a price that had 14% of its original price added to it.
The 14% of the original price is:

So, a profit of $9520 was made
Step 2: Calculate the selling price
The selling price will be the sum of the original price and the profit.
The selling price is:
