if the total area of Alaska is 586,412 square miles, about what percent of the total land area is within 50 miles of anchorage

Matilda is planning a walk around the perimeter of wedge park, which is shaped like a circular wedge, as shown below. the walk a

alukav5142 [94]

The area of the circular sector is
$A=\frac{1}{2}r^{2}\theta$

From that, the equation for the central angle is
$\theta=\dfrac{2A}{r^{2}}$

The perimeter of the circular sector is the sum of the arc length and twice the radius.
$P=2r+r\theta\\\\P=r(2+\theta)$

From that, the equation for the central angle is
$\dfrac{P}{r}=2+\theta\\\\ \theta=\dfrac{P}{r}-2$

The value of r can be found by equating these two expressions for θ.
$\dfrac{2A}{r^{2}}=\dfrac{P}{r}-2\\\\2r^{2}-Pr+2A=0\\\\2r^{2}-2.9r+0.5=0$

By any of several means, you can find that r=0.2 or 1.25. The latter value corresponds to the requirement that the central angle be less than 90°. The radius is ...
1.25 miles.

8 0

4 years ago

I reallllllllllly need this thanks

UNO [17]

To figure the volume of the object, you must figure the volume of each separate shape and add the results together.

First, let's start with the bottom rectangular prism.
a = 4 ; b = 7 ; c = 12
l x w x h = v

So, know that we know our variables' true values, we can work out the problem as easy as plug and play!

a x a x c = v of the bottom shape
4 x 4 x 12 = 192

Now, the next shape.

a x a x b = v of middle shape
4 x 4 x 7 = 112

Next, we need to find the volume of the cube on top.

a x a x a = v of cube
4 x 4 x 4 = 64

Now that we have every shapes' volume, we can add the results up and get the answer we require to proceed.

192 + 112 + 64 = 368

Awesome! We now know the correct answer is A ) 368 cubic units.

Hope I could help you out! If my math is incorrect, or I provided an answer you weren't looking for, please let me know! However, if my math was correct and explained well, please consider marking my answer as Brainliest :).

Have a good one!
God bless!

6 0

3 years ago

A) Work out (8 * 10°) * (2 x 104) Give your answer in standard form.

uysha [10]

16,640 bc 89•204 don’t do in head

5 0

3 years ago

Need help with rounding numbers Round to the nearest ten 24,15,47,42,81,65

sertanlavr [38]

24~ 20, 15~20, 47~50, 42~40, 81~80, 65~70. Hope this helps

7 0

3 years ago

What is the factored form of each expression? 20x + 35y

Tasya [4]

The factored form of 20x+35y would be 5(4x+7y). If you use the distributive property of multiplication, you can see that the expression has not changed.

5 0

4 years ago