Answer:
Prime Number
Step-by-step explanation:
Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Answer:
Option C) 4 congruent sides
Step-by-step explanation:
From the construction done as per statements given in the question.
AB is a common radius of circles A and circle B.
Since AB = AC = AD ( radii of circle A)
And AB = BC = BD (radii of circle B)
Therefore, AB = AC = AD = BD = BC
All sides of quadrilateral ABCD are equal.
Option C is the answer.
Answer:
$3000
$1000
Step-by-step explanation:
the formula for simple interest = principal x time x interest rate
let the amount invested in the 2% investment be a
let the amount invested in the 3% investment be (4000 - a)
(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90
0.02a + 120 - 0.03a = 90
Collect like terms and solve for a
0.01a = 30
a = $3000
The amount invested in the 3% investment be (4000 - a) = $4000 - $3000 = $1000
