Fear not, for Gandalf is here! What you need to do is find the area of the circle. The formula is A = πr2 (pi times squared r). So, in other words, you cut the diameter in half (5 ÷ 2 = 2.5 feet) and do this: 2.5 × 2.5 (this is the squared 2.5). Next, you multiply the factor (which is 6.25) by 3.14. So, you get 19.623, also known as 19.6 if you're rounding to the nearest tenth. Ciao!
Step-by-step explanation:
are vertically opposite angles.
![\therefore \: \angle PTS\: = \: \angle QTR \\ \\ \therefore \: [11(y - 10)] \degree = (4y - 5)\degree \\ \\ \therefore \:11y - 110 = 4y - 5 \\ \\ \therefore \:11y - 4y = 110 - 5\\ \\ \therefore \:7y = 105 \\ \\ \therefore \:y = \frac{105}{5} \\ \\ \huge \red{ \boxed{\therefore \:y = 15}} \\ \\ \therefore \: m\angle PTS\: =[11(y - 10)] \degree \\ = [11(15- 10)] \degree \\ = [11 \times 5] \degree \\ \huge \orange{ \boxed{\therefore \: m\angle PTS\: = 55 \degree}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20PTS%5C%3A%20%20%3D%20%5C%3A%20%5Cangle%20QTR%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%3D%20%284y%20-%205%29%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A11y%20-%20110%20%3D%204y%20-%205%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A11y%20-%204y%20%3D%20110%20-%205%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A7y%20%3D%20105%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B105%7D%7B5%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%2015%7D%7D%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%20%3D%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%20%20%5C%5C%20%20%3D%20%5B11%2815-%2010%29%5D%20%20%5Cdegree%20%5C%5C%20%20%3D%20%5B11%20%5Ctimes%205%5D%20%20%5Cdegree%20%5C%5C%20%20%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%3D%2055%20%5Cdegree%7D%7D)
Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation:
You will find the complete question attached as a picture alongside the solution.
y = f(x) = 
When f(x) ⇒ f(½); that is, x = ½
y =
= 
y = 1.7320508076 ≈ 1.73
y = <u>1.73</u> (to the nearest hundredth)
When f(x) ⇒ f(¼); that is, x = ¼
y =
= ![\sqrt[4]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%7D)
y = 1.316074013 ≈ 1.32
y = <u>1.32</u> (to the nearest hundredth)
Answer:
Neither
Step-by-step explanation:
Check if it's arithmetic:
-8, -3, 6, 11, -22
+5 +6 +5 -33
Nope
Check if geometric:
-8, -3, 6, 11, -22
*3/8 *-2 *11/6 *-2
Nope
So it's neither
Answer:
Option (a) is correct.
The system of equation becomes

Step-by-step explanation:
Given : Equation 
We have to construct a system of equations that can be used to find the roots of the equation 
Consider the given equation 
To construct a system of equation put both sides of the given equation equal to a same variable.
Let the variable be "y", Then the equation 
becomes,
Thus, The system of equation becomes

Option (a) is correct.