Answer:
Step-by-step explanation:
The formula for cos θ is a/r. A is the first number (10) and b is the second number (6). R is the hypoteneuse which can be found through r = 
.
In the equation you'd write that as r = 
which can be simplified to 
.
You end up with 
and you simplify this by doing 
, ending with the result of 
.
(I also got this answer right on the test.)
Answer:
$50.40
Step-by-step explanation:
The garden has an area of ...
(15 ft)(12 ft) = 180 ft²
Amy wants to cover 1/4 of that with flowers, so the area devoted to flowers is ...
(1/4)(180 ft²) = 45 ft²
The cost for each square foot is $1.12, so the cost of the flowers will be ...
($1.12/ft²) × 45 ft² = $50.40 . . . . cost to cover 1/4 of the garden with flowers
Answer:
- Price decrease in dollars = $4,148
- Price of next model = $29,852
Step-by-step explanation:
The next car will be 12.2% cheaper. This amount in dollars is:
= Percentage decrease * Current model price
= 12.2% * 34,000
= $4,148
The price of the next model will therefore be:
= 34,000 - 4,148
= $29,852
We have been given graph of a downward opening parabola with vertex at point 
. We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is 
.
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is 
, where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:
Divide both sides by 
So our equation in vertex form would be 
.
Let us convert it in standard from.
Therefore, the equation of function is standard form would be .
