Answer: 1163.2 feet
<u>Step-by-step explanation:</u>
Set up the proportion then cross multiply:


4(x) = 1454(3.2)
x = 
x = 1163.2
Answer:
A) Dilation
Step-by-step explanation:
Rigid transformations don't change the chape in anyway, but a dilation changes the size so it isn't a rigid translation
Answer:
A. 14.6 ± 7.00
Step-by-step explanation:
Formula for the confidence interval between the two mean is;
CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]
We are given;
μ1 = 94.5
μ2 = 109.1
s1 = 10
s2 = 9
n1 = 10
n2 = 10
The z-value at confidence interval of 90% is 1.645
Thus;
CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]
CI = 14.6 ± 7.00
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:

where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:


Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²