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°
Answer:
(40,0)
Step-by-step explanation:
A rotation of 270 degrees° counterclockwise about the origin has the rule

A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,40).
According to the given rule, the image point after a rotation of 270 degrees° counterclockwise about the origin have the coordinates (40,0) (see attached diagram for details).
Your answer would be 18.1 cm.
To find this length you have to notice that AC is the hypotenuse of the right-angled triangle ACD. This means that we can find it by using Pythagoras' Theorem (a² + b² = c²), however we need to find the length CD.
We can also find the length CD using Pythagoras' Theorem, because the length CD is the same as the base of the triangle at the top if the shape was split into a rectangle and a triangle.
The height of this triangle would be 11 - 4 = 7 cm, which means we can find CD by doing:
16² - 7² = 256 - 49 = 207 = CD²
Now we can find AC by doing √(CD² + 11²) = √(207 + 121) = √368 = 18.1
I hope this helps! Let me know if you have any questions :)
Answer:
Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Step-by-step explanation:
Given:
Amount of drink mix = 19 (1 /4) gram = 19.25 gram
Amount of water = 1 (3 /4) ounces = 1.75 ounces
Find:
Unit rate in grams of drink mix per ounce of water = ?
Computation:
⇒ Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water
⇒ Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75
⇒ Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
The answer is B.
There are no outliers that will make the mean invalid.
The median is also good. It will give you an answer close to the average.