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
rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.
Annual Salary = $ 60,750
Maximum mortgage payment=28% of $ 60,750
Maximum ,mortgage payment allowed for someone with an annual salary of $60,750= $ 1,701.00→→→Option (C)
The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>
In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>
Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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Answer:
A=80
B=31
C=64
Step-by-step explanation:
A, 69, and b will equal 180 since it forms a straight line
A+69+b=180
to solve for A we subtract 53+47 from 180 and get 80
80+69+b=180
to get B we subtract 80+69 from 180 and get 31
to get c we add 85+b and subtract it from 180 getting c=64
Answer:
f(x) = 25.50x Roberto can buy 7 video games
Step-by-step explanation:
Each game is $25.50 which in math means it has an "x"
So if x=1 then 25.50x says that 1 video game is $25.50
Set up the equation:
200 = 25.50x (divide both sides by 25.50 to isolate the x)
200/25.50 = 7.84
x = 7.84
You can't have 0.84 of a video game, so Roberto can only buy 7 of them.
