Answer:
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
where B stands for Base area
and P for Base Parimeter
so
now we need our algebraic skills to figure out s
simplify parentheses:
reduce fraction:
simplify multiplication:
cancel 64 from both sides;
divide both sides by 16:
now we'll use Pythagoras theorem to figure out height
according to the theorem
substitute the value of l and s:
simplify parentheses:
simplify squares:
cancel 16 from both sides:
square root both sides:
recall the formula of a square pyramid
where A stands for Base area (l²)
substitute the value of h and l:
simplify multiplication:
reduce fraction:
hence,
You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:
cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
Answer:
8
Step-by-step explanation:
Replace your variables with the numbers given.
0.1m + 8 - 12n =
0.1 · 30 + 8 - 12 · 1/4 =
8
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849
