Answer:
1.) $10.50 + $3.50n
2.) Replace the variable with the given number. In this case, the given number is 20.
n = 20
$10.50 + $3.50(20)
$10.50 + $70 = $80.50
So, the total cost to visit the fair is $80.50.
Answer:
12.5 unit square
Step-by-step explanation:
The area of a trapezoid is calculated with the following formula:
(b1 + b2)*h/2 (b1: base, b2: base, h: height)
(4+6)*(2.5)*2 = 12.5
Given:
Rectangle inside a circle.
To find:
The area of the shaded region.
Solution:
Length of a rectangle = 3 cm
Width of a rectangle = 3 cm
Area of a rectangle = length × width
= 3 × 3
Area of a rectangle = 9 cm²
Radius of a circle = 4 cm
Area of a circle = πr²
= 3.15 × 4²
Area of a circle = 50.24 cm²
Area of shaded region = Area of circle - Area of rectangle
= 50.24 - 9
= 41.24 cm²
The area of the shaded region is 41.24 cm².
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
Learn more about polynomial here:
brainly.com/question/2833285
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Answer:
4 sqrt(2) - sqrt(70)
Step-by-step explanation:
Simplify the following:
(4 sqrt(14) + 4 sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
Factor 4 out of 4 sqrt(14) + 4 sqrt(10) giving 4 (sqrt(14) + sqrt(10)):
4 (sqrt(14) + sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
(sqrt(10) + sqrt(14)) (3 sqrt(7) - 4 sqrt(5)) = sqrt(10) (-4 sqrt(5)) + sqrt(10)×3 sqrt(7) + sqrt(14) (-4 sqrt(5)) + sqrt(14)×3 sqrt(7) = -20 sqrt(2) + 3 sqrt(70) - 4 sqrt(70) + 21 sqrt(2) = sqrt(2) - sqrt(70):
Answer: 4 sqrt(2) - sqrt(70)
