Need help asap rocky :))

Mathematics

2 answers:

antoniya [11.8K]3 years ago

4 0

The value of ∠EOF is 75°.

Step-by-step explanation:

Let us take O be the center of the circle.

Given,

∠AOB = 45°

∠COD = 60°

To find the ∠EOF (value of x)

Now,

Since AD is the diameter of the circle, ∠AOD = 180°

∠AOB+∠COD+∠BOC = ∠AOD

Or, 45°+60°+∠BOC = 180°

or, ∠BOC = 180°-(45°+60°)

= 75°

Again,

∠BOC = ∠EOF as they are vertically opposite angle.

Hence,

∠EOF = 75°

Alex_Xolod [135]3 years ago

4 0

Answer: 120

Step-by-step explanation:

You might be interested in

What is 12+3? I really need hwelp on this

yaroslaw [1]

Answer:

Step-by-step explanation:

12+3=15

6 0

4 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$