Answer:
Musah's final point from the centre = 60.355 steps
Step-by-step explanation:
From the given information:
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°
The sketch for this information can be seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far;
Then d = QR + RS cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50( 
)
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
Musah's final point from the centre = 60.355 steps
Answer:
Step-by-step explanation:I need help on my question pls help me
Answer:
8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Step-by-step explanation:
Price without Discount Card Price with Discount Card
Ticket (12 & Under) $10 $8
Adult's Ticket $15 $12
Let x be the number of visits
Price without discount card for 2 adults and 1 child ticket
Price without discount for x visits = 
Price with discount for x visits =
Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
57+32x< 40x
57<8x
7.1<x
So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Answer:
C ) exponential : y = 100 * 0.79^x
Step-by-step explanation:
Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),
