Less than 90° = acute
more than 90° = obtuse
equal to 180° = straight
more than 360° = reflex
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?
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if cos θ -sin θ =1, find θ cos θ +sin θ?
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Answer:
The equation that represent x, the height of the sign is;

Step-by-step explanation:
Given that the area of the triangular yield is A square feet
and it has a base length of 3 feet.
also the height is represented by x;

Recall that the area of a triangle can be written as;

substituting the given;

Therefore, the equation that represent x, the height of the sign is;

Answer:
About 11.299 hours.
Step-by-step explanation:
To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.


Taking the log x of both sides, you get

hours. Hope this helps!