Suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?

.4

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is

Relative velocity of Plane A is since Plane A is heading against the wind

Relative velocity of Plane B is

Plane A departs at noon

Distance covered by Plane A in 1 hour

The total separation distance between the planes is

Assuming they meet after t hours

Distance covered by Plane B in that time frame

Distance traveled by Plane A in t hours is

The total distance equals 4550 miles

Distance traveled by B is

thus, they meet at a point 2688.63 miles away from Los Angeles.

Response:

• Refer to the attached graph

• x₁ ≈ - 2.1

• x₂ ≈ 0.2

Clarification:

To analyze log (−5.6x + 1.3) = −1 − x visually, graph these equations on the same coordinate system:

• Equation 1: y = log (5.6x + 1.3)

• Equation 2: y = - 1 - x

The first equation can be graphed using these characteristics of logarithmic functions:

• Domain: values must be positive ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)

• Range: all real values (- ∞, ∞)

• x-intercept:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒ x = 0.3/5.6 ≈ 0.054

• y-intercept:

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

• Choose additional values to create a table:

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

• This graph is shown in the attached image: it's represented by the red curve.

Graphing the second equation is simpler as it forms a straight line: y = - 1 - x

• slope, m = - 1 (the coefficient of x)

• y-intercept, b = - 1 (the constant term)

• x-intercept: y = 0 = - 1 - x ⇒ x = - 1

• This graph is indicated by the blue line in the image.

The resolution to the equations corresponds to the points where the two graphs intersect. The graphing method thus allows you to determine the x coordinates of these intersection points. Ordered from smallest to largest, rounded to the nearest tenth, we have:

• x₁ ≈ - 2.1

• x₂ ≈ 0.2

The area calculation for the shaded section, as seen in the attached diagram, involves subtracting the area of the kite from that of the rectangle. The area of the rectangle is calculated as (3x+x)*(x+x), which simplifies to 4x*2x, equating to 8x². The area of the kite is determined using the formula (1/2)*[d1*d2], where d1 and d2 represent the diagonals, specifically d1=4x and d2=2x. Therefore, the area of the kite becomes (1/2)*[4x*2x], leading to 4x². Consequently, the area of the shaded region can be computed as 8x²-4x², resulting in 4x². Thus, the solution is 4x².

40 tens converts to how many hundreds? The calculation is 40 multiplied by 10, resulting in 400.