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Agata [3.3K]
3 years ago
14

Question 3 (4 points)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)

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Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink
Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

x+y=750...(1)  

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

x=1.5y...(2)

From equation (1) we will get,

y=750-x  

Upon substituting this value in equation (2) we will get,

x=1.5(750-x)

Upon distributing 1.5 to right hand side of the equation we will get,

x=1125-1.5x

Upon adding 1.5x to both sides of equation we will get,

x+1.5x=1125-1.5x+1.5x

2.5x=1125

Let us divide both sides of our equation by 2.5.

\frac{2.5x}{2.5}=\frac{1125}{2.5}

x=450

Therefore, Alla drank 450 ml of water.

8 0
3 years ago
Please help i don’t understand
SashulF [63]

Answer:

Use inverse cos to solve for x.

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3 0
3 years ago
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Readme [11.4K]

Answer:

Step-by-step explanation:

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If the midpoint is located at (-6,-2) and one endpoint is at (1,7), what is the coordinates of the other endpoint?
FromTheMoon [43]

Answer:

The other endpoint would be (-13, -11)

Step-by-step explanation:

In order to find the coordinates of an end point, we need to note that the midpoint would be the average of the two values. We'll call the unknown point P and we'll start by looking at the x values only.

(1 + Px)/2 = -6 ----> multiply by 2

1 + Px = -12 -----> subtract 1

Px = -13

Now we can do the same with the y values.

(7 + Py)/2 = -2 ----> multiply by 2

7 + Py = -4 ------> subtract 7

Py = -11

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4 years ago
What is the measure of angle ABC in the circle shown in the picture?
Fynjy0 [20]

Answer:

45°

Step-by-step explanation:

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3 0
3 years ago
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