Answer:
x = 466.7 ft
Step-by-step explanation:
The lower angle in the right triangle = 31° ( alternate angle )
Using the cosine ratio in the right triangle, with hypotenuse x
cos31° =
= 
Multiply both sides by x
x × cos31° = 400 ( divide both sides by cos31° )
x =
≈ 466.7
x = -38/9 !!!
27(x+4)=−6
Step 1: Simplify both sides of the equation.
27(x+4)=−6
(27)(x)+(27)(4)=−6 (Distribute)
27x+108=−6
Step 2: Subtract 108 from both sides.
27x+108−108=−6−108
27x=−114
Step 3: Divide both sides by 27.
27x/27=−114/27
x=−389
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9
Area of circle = πr² = π(9)² = 286 units²
Answer: 9 units²
Answer:
20 people only buy dvds.
Step-by-step explanation:
There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:
people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds
people who only buy blu rays = 300 - 280 = 20
We can now calculate the amount of people who only buy dvds and that is:
people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)
people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people