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: False
Step-by-step explanation:
398 + 9 = 407
400 + 8 = 408
If the equation was 398 + 10 then yes it will be equal to 400 + 8
Answer:
Step-by-step explanation:
4x10=40
7x10=70
6x10=60
10x10=100
8x10=80
4x14=56
5x16=80
40+70+60+100+80+56+80= $486
Answer: 122 sq. in.
Step-by-step explanation:
P = 2 (l + w)
P = 2 (34.5 + 26.5)
P = 2 x 61
P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36 24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2 36 / 12 is 3 2/3 Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours
Andrew:
4 x 6 = 24
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%
Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage <span />
