ssue bought two pairs of jeans and a belt that costs 6.95.the tax on the items was 5.85 sue paid the cashier$70.00how much money
1 answer:
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Answer:
The number of stores in California 42
The number of stores in Nevada 18
Step-by-step explanation:
Given as :
The total sandwich shop in California and Nevada = 60
The percentage of shop in California = 70%
So, The percentage of shop in Nevada = 100% - 70% = 30%
Let The number of stores in California = c
And The number of stores in Nevada = n
Now, According to question
The number of stores in California = 70% of the total number of shops
I.e c = × total number of shops
Or, c = × 60
∴ c =
or, c =
or, c = 42
So, The number of stores in California = c =42
Again
The number of stores in Nevada = 30% of the total number of shops
I.e n = × total number of shops
Or, n = × 60
∴ n =
or, n =
or, n = 18
So, The number of stores in Nevada = n = 18
Hence The number of stores in California 42
And The number of stores in Nevada 18 Answer
Answer:
Look to the attached graph
Step-by-step explanation:
* Lets revise how to graph the quadratic function
- Find the vertex of it
- Find the y-intercept
- Find the x-intercept
∵ f(x) = (x - 5)² + 1 ⇒ the completing square form
- The completing square form for any quadratic is
( x - h)² + k, where h and k are the coordinate of the vertex point
* Lets compare the two forms
∵ (x - h)² + k = (x - 5)² + 1
∴ h = 5 and k = 1
∴ The vertex of the parabola is (5 , 1)
- To find the x-intercept put f(x) = 0
∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides
∴ (x - 5)² = -1 ⇒ the square can not give -ve number
∴ The parabola does not intersect the x-axis
- To find the y-intercept put x = 0
∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26
∴ The parabola intersects the y-axis at point (0 , 26)
- The parabola is opened upward because the coefficient of x² is +ve
* Now lets graph it
- Look to the attached graph
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Data;
- Angle = 45 degree
- Observation deck (adjacent) = 1145 ft
- horizontal distance (opposite) = x
Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance
Substitute the values into the equation and solve
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Learn more on trigonometric ratio here;