Answer:
A = 25√3 cm²
Step-by-step explanation:
View 5√3 cm as being the height of an equilateral triangle whose base is at the bottom of the purple figure. To find the area of one such triangle, we use the area-of-a-triangle formula A = (1/2)(b)(h).
opp
Using the sine function sin Ф = --------
hyp
we find the length of the hypotenuse, which is also the radius of the octagon, and because this is an equilateral triangle, is also the length of the base:
√3 5√3 cm
sin 60° = -------- = ------------- , which produces the value of hyp:
2 hyp
√3 5√3 cm
-------- = ------------- , which produces the value of hyp:
2 hyp
√3·hyp = 10√3, or hyp = 10 cm
Then the area of this one triangle is A = (1/2)(b)(h), or
A = (1/2) (10 cm)(5√3 cm) = 25√3 cm²
Answer:
Step-by-step explanation:
x/2
|2x+3|-1<4
|2x+3|<5
1) when 2x +3 is positive
2x+3<5
2x<2
x<1 (-∞, 1)
2) when 2x+3 is negative
-(2x+3)<5
-2x-3<5
-2x<8
x>-4 (-4, ∞)
(-∞, 1)∩(-4, ∞)=(-4,1)
Answer : (3,-1) Hoped this helped :)
The formula in terms of h is h = 3V/s^2 and the value of h is 5
<h3>How to write the formula in terms of h?</h3>
The equation is given as
V = 1/3s^2h
Divide both sides of the equation by 1/3s^2
So, we have
h = 3V/s^2
The given parameters are
V = 60 and s = 6
So, we have:
h = 3 * 60/6^2
Evaluate
h = 5
Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5
Read more about formulas at:
brainly.com/question/10643782
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