Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
Answer:
simplified 10k-1a-10
Step-by-step explanation:
Simplified
Answer:
The longer piece: 54m
The shorter piece: 19m
Step-by-step explanation:
Make an equation from what is said.
One of the pieces is 'x'
The other piece is 2x+16
x + (2x + 16) = 73m
solve for x
x = 19
plug it in
2*19 + 16
you get 54
so 54 is the longer piece
and 19 is the shorter piece (x was the shorter piece)
Hope this helped :)
Answer:
Yes
Step-by-step explanation:
The graph is a line
Answer:
$1,630.08
Step-by-step explanation:
The value of an amount earning interest continuously compounded is given by the formula ...
A = Pe^(rt)
The value of P can be found by dividing by its coefficient:
P = A/(e^(rt)) = Ae^(-rt)
P = $1700·e^(-0.014·3) ≈ 1630.0786
Terry placed $1,630.08 in the account.
