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:
Step-by-step explanation:
Allow me to rewrite your question and hope it will fit the original one:
<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>
My answer:
As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)
So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.
Hope it will find you well.
Answer:
Step-by-step explanation:
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75: 3 * 5 * 5
168: 2 * 2* 2 * 3 * 7
It's not really multiplication. It's more division.
Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2
2800/2 = 1400
1400 / 2 = 700
700 / 2 = 350
350 / 2 = 175. That's the end of what the 2s can do.
175 / 5 = 35
35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75 is not an even number. It has no 2s. Go to 3
75 / 3 = 25.
25 / 5 = 5
That's the end
75: 3 * 5 * 5
Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.
Answer:
1/3
Step-by-step explanation:
I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..
Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.
Hope that makes sense.
Answer:
umm let me see
Step-by-step explanation:
