Answer:
x ≈ 16.52
Step-by-step explanation:
Use the tangent ratio in the right triangle to find x
tan36° = 
= 
Multiply both sides by x
x × tan36° = 12 ( divide both sides by tan36° )
x = 12 / tan36° ≈ 16.52 ( to 2 dec. places )
Answer:
The answer is 3.
Explanation:
Factors of 18:
1, 2, 3, 6, 9, 18.
Factors of 21:
1, 3, 7.
The highest number that both sets contain is 3, so the GCF will be 3.
Answer:
The graph of the equation is shown in the picture attached below.
We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.
This means that for any value of the width greater than 12, the function cannot model the situation.
Making the equation only valid for
w ∈ [0,12]
Step-by-step explanation:
jwwjwnwmsussjsnnwmsslwhxxbxbxhhdhzzvenskjdgbjksksk
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
