Answer:
a
n = 4
n + 33
Step-by-step explanation:
n = number of jumps after the 0 term of '33'
aka: add 4 to the previous number
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Answer:
3 is the answer
1/3*9/1=9/3=3
Step-by-step explanation:
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
Answer:
The length of the park is 175 feet
Step-by-step explanation:
Let us solve the question
∵ The perimeter of a rectangular park is 500 feet
∵ The formula of the perimeter of the rectangle is P = 2(L + W)
∵ L is the length and W is the width
→ Equate the rule of the perimeter by 500
∴ 2(L + W) = 500
→ Divide both sides by 2
∴ L + W = 250 ⇒ (1)
∵ The length of the park is 100 feet longer than the width
→ That means L is W plus 100
∴ L = W + 100 ⇒ (2)
→ Substitute L in (1) by (2)
∵ W + 100 + W = 250
→ Add the like terms
∵ (W + W) + 100 = 250
∴ 2W + 100 = 250
→ Subtract 100 from both sides
∵ 2W + 100 - 100 = 250 - 100
∴ 2W = 150
→ Divide both sides by 2
∴ W = 75
→ Substitute the value of W in (2) to find L
∵ L = 75 + 100 = 175
∴ The length of the park is 175 feet
