Answer:
Option 1) p ←→ q
Step-by-step explanation:
The given statement is a combination of two phrases with a connective word.
Phrase 1 - The Fratellis will be arrested.
We consider this phrase as phrase p.
Phrase 2 - If the police believe chunk.
Phrase q.
Now these statements p and q are connected with a connecting word "If only and only".
When two phrases are connected by the connecting words "Only and only if", this connecting word is called as biconditional operator.
p (connecting word) q
p ( If and only if) q
p ←→ q
Therefore, Option 1) p ←→ q is the answer.
Answer:
A. 11
Step-by-step explanation:
Since the angles are vertical angles (share a vertex) they are equal in measure.
160 = 10x + 50
subtract 50 from both sides
110 = 10x
divide both sides by 10
x = 11
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
the largest rectangular area is actually a square.
so the side would be 400/4 = 100 feet
area of a square is S^2
100^2 = 10,000 square feet
