Answer:
√27
Step-by-step explanation:
The triangles of the pyramid are equilateral triangles with sides of 6''.
Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:
3² + s² = 6²
s² = 6² - 3²
s = √27
Answer:
<em>9</em><em>0</em><em> </em><em>degree</em><em> </em><em>EFC</em><em>. </em><em>and</em><em>. </em><em>BMC</em>
<em>across</em><em> </em><em>fc</em><em>/</em><em>ma</em><em> </em>
<em>across</em><em> </em><em>ec</em><em>/</em><em>ab</em>
Answer:
G
Step-by-step explanation:
Using the rule of exponents
= 
Consider the left side
= 
, then
= n²
Since bases on both sides are equal, equate the exponents
x - y = 2 → G
The predicted time remaining has decreased by 30 years, so the second one would be the answer
Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
