Answer:
<h2><u>x = 21</u></h2>
Explanation:
x = = <u>21</u> degree will be the answer.
{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}
If you would like to know the purchase price of Wilma's game, you can calculate this using the following steps:
15% of $43.89 = 15% * 43.89 = 15/100 * 43.89 = $6.5835 = $6.58
$43.89 - $6.58 = $37.31
5% of $37.31 = 5% * 37.31 = 5/100 * 37.31 = $1.8655 = $1.87
$37.31 - $1.87 = $35.44
The correct result would be <span>$35.44.</span>
Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)
Answer:
The expression 1.02^(4+n) can be used because 1.02^4 * 1.02^2= 1.02^(4+n) AND this is option C.
Step-by-step explanation:
For 4 + N years = (1 + 2/100)^(4+N)
= 1.02 ^ (4+N)
Remember, that the number of years is increased by N and interest rate remain the same, and n is years, and which is now 4+ N.
This must be on the moon as the acceleration due to gravity in this equation must be around 1/8 that on earth. :) Anyway...
h=-2t^2+9t+11
A)
dh/dt=-4t+9, when velocity, dh/dt=0, it is the maximum height reached
dh/dt=0 only when 4t=9, t=2.25 seconds
h(2.25)=21.125 ft (21 1/8 ft)
B)
As seen in A), the time of maximum height was 2.25 seconds after the squirrel jumped.
C)
The squirrel reaches the ground when h=0...
0=-2t^2+9t+11
-2t^2-2t+11t+11=0
-2t(t+1)+11(t+1)=0
(-2t+11)(t+1)=0, since t>0 for this problem...
-2t+11=0
-2t=-11
t=5.5 seconds.