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3 years ago

Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

1 answer:

8 0

In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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The life spans of elephants in a Columbus zoo are normally distributed. The average elephant lives 60 years: the standard deviat

Marta_Voda [28]

did u ever get the answer l need it

5 0

3 years ago

Find the volume of the largest circular cone that can<br> beinscribed in a shpere of radius 3.

Aleksandr [31]

Answer:

$V =\dfrac{32}{3}\pi$

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

$V = \dfrac{1}{3}\pi r^2h$

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

$V = \dfrac{1}{3}\pi x^2(3+y)$

Applying Pythagoras theorem

x² + y² = 3²

$x = \sqrt{9-y^2}$

$V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)$

$V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)$

$V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)$

differentiating both side

$\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)$

for maxima $\dfrac{dV}{dy} = 0$

$\pi ( 3-2 y - y^2)=0$

y² + 2 y - 3 = 0

(y+3)(y-1)=0

y = 1,-3

y cannot be negative so, volume at y = 1

$V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)$

$V =\dfrac{32}{3}\pi$

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume $V =\dfrac{32}{3}\pi$

5 0

3 years ago

Will give branliest and 10 points please answer with correct work

insens350 [35]

Answer: Part A the answer is yes and Part B the answer is no.

Step-by-step explanation:

Part A when you divide 7 by 2 you get 3.5 and if you multiply that number by the rest of the numbers and you get the number beneath the other number.

Part B when you divide 8 by 5 you get 1.6 and if you multiply that number by the rest of the numbers and then you don't get the number beneath the other number.

Danche!

4 0

3 years ago

Read 2 more answers

You want to buy a camera. The retail price is $75. The camera is on sale for 15% off . What is the sale price of the camera?

ludmilkaskok [199]

Answer:

$63.75

Step-by-step explanation:

15% off

Get percentage of retail price

1-0.15 = .85

0.85 = 85%

The sale price is 85% of the retail price

Multiply

0.85 * 75

$63.75

7 0

2 years ago

The sum of 10 times a number and 15 is added to 11 times the same number

Anettt [7]

10 x n +15 +11 x n

btw you know that x= the multiplication sign right.

8 0

3 years ago