Answer:
Option C
Step-by-step explanation:
In the given triangles ΔRSW and ΔWXY,
m(∠S) = m(∠X) = 60° [Given]
Properties of congruence of two triangles applicable in this question,
SAS or ASA
For the congruence of two triangles by the property SAS,
"Two corresponding sides and the included angle should be congruent"
RS ≅ WX, ST ≅ XY and ∠S ≅ ∠X
Which is not given in any option.
For the congruence of two triangles by the property ASA,
"Two consecutive angles and the side having these angles should be congruent"
∠R ≅ ∠W, ∠S ≅ ∠X and RS ≅ XY
Option C will be the correct option.
Step-by-step explanation:
=(1+ sin^2 A/cos^2 A).cos^2 A
=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A
=[1/cos^2 a] . cos^2 a
=1
So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula (
), plug in the area of the garden (36 ft^2) and solve for r as such:
So that we know the radius, plug that into the circumference equation (
) to solve:
Your answer is A. 12√π.
Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
= 
Simplify : y
Apply the fraction rule: 
= 
Divide the numbers: 
= y
Simplify : - 8
Apply the fraction rule:
Divide the numbers: 
= 8
= - 8
y = - 8
The sampling method used in the situation of the quality control analyst in his attempt to avoid staying after work would be a non-probability sampling method. He used a nonprobability sampling called convenience sampling wherein the person gets a sample for easy and convenient results.
