Answer:
Step-by-step explanation:
Given
Yearly Cost for members; 
Required
Determine the yearly cost for non members
From the question, we understand that:
<em>A non member pays $0.20 for each game;</em>
Yearly cost is then calculated as thus;
y = Amount * Number of Games
Where:
Amount = $0.2 and Number of Games = x
Convert 0.2 to fraction
Divide the numerator and the denominator by 2
<em>Hence, the yearly cost for non members is </em>
Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
Answer:
2.1 miles
Step-by-step explanation:
you can see a drawing of the situation in the attached picture (you need to draw all the places mentioned and the distance between them),
this way we can form a right triangle between the school and the hospital with measures of sides: 1.7 and 1.2 miles
and the green line is the straight line between the school and the hospital, so you need pythagoras to find the value:
rounding to the nearest tenth:
2.1 miles
Answer:
200 teenagers
Step-by-step explanation:
150÷0.75= 200
checking work:
200•0.75= 150
hope this helps chu <3
