answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LekaFEV [45]
2 years ago
11

The minimum length L of a highway sag curve can be computed by where θ 1 is the downhill grade in degrees (θ 1 < 0°), θ 2 is

the uphill grade in degrees (θ 2 > 0°), S is the safe stopping distance for a given speed limit, h is the height of the headlights, and α is the alignment of the headlights in degrees. Compute L for a 55-mph speed limit, where and Round your answer to the nearest foot.

Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Answer:

The answer to the nearest foot is = 15 feet

Step-by-step explanation:

Solution

The first set taken is to  Compute L for a 55-mph speed limit

Given that

L =(θ2 -θ1)/200 (h +S Tan ∝) =

= ( u + 5) 336²/200 (1.9 +336 tan 0.7°)

= 9° (336)²/200 (1.9 +336 tan 0.7°) = 14.7652094

= 15 feet  { 9° = 9*π/180 = π/20}

Note: Kindly find an attached image for the complete question given and answered

You might be interested in
Find the quotient of 2,300 and (0.4 · 10^-8). In your final answer, include all of your calculations.
Alex777 [14]

Answer:

5.75x10^11

Step-by-step explanation:

quotient of 2,300 and (0.4x10^-8) is

2,300 ÷ (0.4x10^-8)

2300 = 2.3x10^3

We now have

2.3x10^3 / 0.4x10^-8

= (2.3/0.4) x ( 10^(3 - (-8))

= 5.75 x (10^(3+8))

= 5.75 x (10^11)

= 5.75x10^11

Please mark brainliest if helpful. Thanks

8 0
2 years ago
Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

So

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0
2 years ago
Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be
riadik2000 [5.3K]
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
{a}^{2}  +  {b}^{2}  = {c}^{2}
Plug the numbers in to find c, the length of your path! So
\sqrt{{32}^{2}  +   {20}^{2}}  = 37.7
4 0
1 year ago
Read 2 more answers
Harry has 20 sweets. He gives 7 of the sweets to Nadia. What fraction of the 20 sweets does Harry have now?
olganol [36]

Answer: 13

Step-by-step explanation:

1. Harry has 20/20 sweets

2. Nadia takes 7/20 sweets

3. Your left with 13/20

3 0
2 years ago
Read 2 more answers
Raymond can paint 5/8 of a wall in 16minutes. How long would it take him to paint 1/3 of a wall?
givi [52]

Answer:

128/15 min or 8.5 min

Step-by-step explanation:

By using unitary method,

Time required to paint 5/8 of wall = 16 min.

Time required to paint 1/1 of wall = 16×8/5

Hence, Time required to paint 1/3 of wall = 16×8/5×1/3

4 0
2 years ago
Other questions:
  • According to Nasa, when the International Space Station (ISS) is at an altitude of 385 kilometers, it travels at about 27,707 ki
    14·2 answers
  • The sum of the squares of two consecutive even integers is 884. find the integers
    15·1 answer
  • The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earne
    15·1 answer
  • The graph of f(x) = |x| is transformed to g(x) = [X + 11-7. On which interval is the function decreasing?
    15·1 answer
  • Use Euler's formula to derive the identity. (Note that if a, b, c, d are real numbers, a + bi = c + di means that a = c and b =
    7·1 answer
  • You will note the wheel has 38 slots. There are two green slots (labeled 0, 00) and 36 slots which alternate red/black and are n
    5·1 answer
  • Given that d is the midpoint of line segment ab and k is the midpoint of line segment bc, which statement must be true? (May giv
    11·1 answer
  • Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati
    14·1 answer
  • What is an equation of the line that passes through (1,4) and (-2,-2)
    8·1 answer
  • At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of ga
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!