Answer:
x = 48
Step-by-step explanation:
We now that supplementary angles (as is the case for a straight line) add up to 180 degrees.
3x - 12 + x = 180
4x = 192
x = 48
The total revenue for the event would the total amount earned from the tickets sold. So if x people attended the event, then there would be $(161x). We must keep in mind though the the maximum seating is 76 876. That means that the maximum revenue that can be earned must not exceed $(161)(76 867) = .
Hence we have f(x) = 161x where 0 ≤ x ≤ 76867.
From this, we can see that the domain is [0, 76867] while range is [0, 12375587]<span>.</span>
Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Answer:
He should buy a 50 inch TV
Step-by-step explanation:
Using Pythagorean theorem the TV cabinet has a diagonal of :
Answer:
7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations.
<u>Parenthesis</u>
<u>Exponents</u>
<u>Multiplication>Division (Depends on which comes first from left to right)</u>
<u>Addition>Subtraction (See Multiplication>Division)</u>
So First, lets solve the <u>Parenthesis</u>. -2/5=-.4
So now, our equation is -3/-.4
There is no exponents or multiplication, so lets just <u>Divide</u>.
-3/-.4=7.5
The solution is 7.5
Hope this helps!
