Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:
Where 
is the lenght (the longer side) and 
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:
3. So, you must substitute into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:
Answer:
18% decrease
Step-by-step explanation:
- 7,500 - 6,125 = $1,375
- Set up a proportion:
- Cross multiply, then divide: 1375 × 100 = 137500, 137500 ÷ 7500 = 18 1/3
- 18 1/3% rounded = 18%
- It went down, so it is a decrease
I hope this helps!
The width of the court is 30 feet!
Answer:
There is no possible triangles
Step-by-step explanation:
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin O}{58}=\frac{\sin 52}{13}
58
sinO
=
13
sin52
Plug in values.
\sin O=\frac{58\sin 52}{13}\approx 3.5157403
sinO=
13
58sin52
≈3.5157403O=\sin^{-1}(3.5157403)= \text{ERROR}
O=sin
−1
(3.5157403)=ERROR
Sine cannot be greater than 1.
{No Possible Triangles}
No Possible Triangles
{}
{}
Standard equation: (x-h)^2 + (y-k)^2 = r^2
Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10
Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2
