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3 years ago

Find the area of the shaded region. Round your answer to the nearest tenth if needed. 4B

Mathematics

1 answer:

AlexFokin [52]3 years ago

5 0

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

4. 136.1

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3. A rocket is launched vertically from the ground with an initial velocity of 64 ft / sec . ( a ) Write a quadratic function h

lys-0071 [83]

Answer:

See below.

Step-by-step explanation:

The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.

The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.

(a) h(t) = 64t - 1/2*32 t^2

h(t) = 64t - 16t^2.

(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).

The y-axis is the height of the rocket and the x-axis gives the time.

Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.

6 0

3 years ago

Read 2 more answers

Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. L

miskamm [114]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

7 0

3 years ago

10,13,14,17,22,25 find the mean

grin007 [14]

Median = 15.5

Please take a look at the image attached for an explanation.

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3 years ago

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Solve the inequality. d −7 ≤ −3

aleksklad [387]

D-7≤ 3
add 7 to both sides
d≤10

5 0

3 years ago

Find an equation for the plane y=4x in cylindrical coordinates. (Type theta for θ in your answer.)

Paha777 [63]

Answer:

Step-by-step explanation:

Given the equation of a plane in rectangular coordinates to be y = 4x.

The cylindrical coordinates of the axis is as given below;

x = rcosθ

y = rsinθ

z = z

Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;

y = 4x

rsinθ = 4( rcosθ)

rsinθ = 4rcosθ

sinθ = 4cosθ

sinθ - 4cosθ = 0

Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0

8 0

3 years ago