Answer:
A. 821.5 Square Yards
Step-by-step explanation:
30 x 30= 900
900 is the area for the whole park
To find the pool area you need to do pi times Radius squared
so 3.14 x 5 x 5
That equals 78.5 for the pool area.
So to find the grass area you need to subtract the pool area from the park
900 - 78.5 = 821.5 square yards!
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
Answer: (p x 6)+8.88= $9.78
Step-by-step explanation:
multiply 0.15 by 6
6 x 0.15= 0.90
add that to 8.88 and you get $9.78
hope this helps! ;P
Answer:
The correct answer is option 1
23.96°
Step-by-step explanation:
Tan ∅ = Opposite side/Adjacent side
From the given figure we can see that it is a right angled triangle.
<u>To find the value of x
</u>
Tan ∅ = Opposite side/Adjacent side
Opposite side = 4
Adjacent side = 9
Tan x = 4/9 = 0.4444
x = tan⁻¹ (0.4444) = 23.9624 ≈ 23.96°
Therefore the correct answer is first option.
23.96°
ASA
Because the side between two equal angle is equal here. Because "The sides opposite to equal angles of a triangle are equal."
