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
If one of the numbers we multiply (factors) has zeros at the end, and the other isn't a fraction: all those zeros will stay in the product.
But there might be additional zeros if the other numbers in the factors (the numbers which aren't 0) mupliply to "end" in zero and this is the case here:
8*5=40.
so the product will be 40 and the zeros of the 5000:
40 000
the number of zeros in the product will be bigger than the number of zeros in the factors if the non-zero parts of the fractions multiply to a number with 0 at the end.
<span>Owls are found in many different habitats, such as deserts, forests, prairies and even the Arctic tundra. They nest in trees, in holes in the ground, in barns, and in caves. And while many other birds migrate to warmer places during the winter, most owls do not. They live in the same place all year round.</span>
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
<h3>What is a
circle? </h3>
A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.
The circumference of a circle is given by:
Circumference = π * diameter
Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.
Find out more on circle at: brainly.com/question/24375372
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
where 
is the current age of Shobos and 
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for :
Substituting this value into the first equation gives us the age of the mother:
