The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
Answer:
Mean = 90, Median = 93, Mode = 90, Range = 6
Step-by-step explanation:
Mean:
96 + 90 + 94 + 93 + 90 = 463
463 ÷ 5 = 92.5
92.5 to nearest tenth = 90
Mean = 90
Median:
<em>90, 90</em>, <u>93</u>, <em>94 ,96</em>
Median = 93
Mode
<em>96, </em><u>90</u><em>, 94, 93, </em><u>90</u><em> </em>
Mode = 90
Range:
96 - 90 = 6
Range = 6
The volume of the <span>goldfish pool is V= 0.5ft x 1.5ft x 3ft=2.25 ft^3
so 7.5gallons ----------> 1 ft^3
x=? <----------- </span>2.25 ft^3
<span>x= 2.25 x 7.5 / 1= 16.87 gallons
the answer is </span>16.87 gallons of water <span>
</span>
The required solution is ∠RQT = 202° and ∠QTS = 51°
<h3 />
<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
More about cyclic quadrilateral :
brainly.com/question/14323008
#SPJ1
Answer:
1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph
Step-by-step explanation:
