All categories

3 years ago

SOMEONE HELP!! I need this ASAP and I don’t understand. I’ll give brainliest!!

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

19.55 square km

Step-by-step explanation:

Area of a circle is given by A = πr²

And area of it's sector is given by the formula,

A = $\frac{\theta}{360}\times (\pi r^2)$

Here, r = Radius of the circle

θ = Angle at the center formed by the arc

Substituting values in the given formula,

Area = $\frac{35}{360}\times \pi (8)^2$

= $\frac{2240\pi}{360}$

= 19.547

≈ 19.55 square km

Therefore, area of the sector will be 19.55 square km.

You might be interested in

A group of rowdy teenagers near a wind turbine decide to place a pair of

Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

$x^2 + (y-yc)^2 = R^2$ ,

where

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So, is the trajectory path equation to the circle

Let $x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)$ be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t

At t= 10s, y = 16 m so we have,

$9 + 7 * sin(10* w + \phi) = 16$ ---------------(1)

Also, at t= 25s, y =2 m so we have,

$9 + 7* sin(25 * w +\phi) = 2$ --------------(2)

Solving we have, $10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2$

$15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6$

Therefore $y = 9 + 7* sin(\pi * t / 15 - \pi / 6)$ is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

$y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)$

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0

3 years ago

Diagram shows an irregular hexagon PQRSTU.Fine the value of X + Y=

Lynna [10]

To find the value of x+y, we will first find the sum of all the interior angles of the hexagon.The sum of the interior angles in a hexagon is always equal to 720 degrees.

All the angles in the diagram are in terms of x or y except for angle t. However, we know that the corresponding exterior angle is 30 degrees. The sum of angle t and 30 is 360. We can solve this in an algebraic equation.

t+30=360
Subtract 30 from both sides
t = 330

Now, we can solve for the values of x+y. We can set this up in another algebraic equation.

x+x+x+2y+y+30=720

Combine like terms:
3x+3y+30 = 720

Subtract 30 from both sides:
3x+3y = 690

Divide both sides by 3:
$\frac{3x + 3y}{3} = \frac{690}{3}$
x+y = 230

The sum of x and y is 230.

6 0

4 years ago

The students in a class made graphs to keep track of the number of pages they read in their books.

denis23 [38]

Answer B I’m not sure if it’s right

8 0

3 years ago

You estimate that there are 40 marbles in a jar. The actual amount is

Temka [501]

16.6%

Step-by-step explanation:

40 - 48 / 48

-8/48

-16.666666667%

16.66666667% error

5 0

3 years ago

3. You drove 416 miles in 8<br>hours. How many miles did you<br>drive per hour?

daser333 [38]

Answer:

Step-by-step explanation:

You have 8 eight hours and 416miles, and you need to distribute those 416 miles to eight hours. so 416/8=52

5 0

3 years ago

Read 2 more answers