Answer:
D
Step-by-step explanation:
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:
Yes, the statement is true
Btw, it's an angle not angel
Please mark as brainliest
Answer:
m=8
Step-by-step explanation:
-88=-3(4m+5)-(1-3m)
-88=-12m-15-(1-3m) <- Distributive Property
-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive
-88=-9m-16 <- Simplify
0=-9m+72 <- Add 88 to both sides
9m = 72 <- Add 9m to both sides
9m = 72
/9 /9
m=8
Answer:
f(5) = 4375
Step-by-step explanation:
Given f(n) = 5f(n - 1) and f(1) = 7
This allows us to find the next term in the sequence from the previous term
f(2) = 5f(1) = 5 × 7 = 35
f(3) = 5f(2) = 5 × 35 = 175
f(4) = 5f(3) = 5 × 175 = 875
f(5) = 5f(4) = 5 × 875 = 4375
