Use Pythagorean’s Theorem. a^2 + b^2=c^2.
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369 then subtract 1225 from both sides.
a^2 = 144 then find the square root of both sides
a = 12
Answer:
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Step-by-step explanation:
sinx can run from -1 to +1
2sinx can run from -2 to +2
2sinx -1 can run from -3 to +1
However, the square root is imaginary when x < 0. So, the condition is
2sinx -1 ≥ 0
2sinx ≥ 1
sinx ≥ ½
x ≥ π/6 (30°)
So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6
However, the sine is a cyclic function and repeats itself every 2π.
Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).
The domain is then
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
The volume of a cylinder (shape of the soup can) is worked out by...
pi x radius^2 x h so...
pi x 1.625 (half diameter) ^2 x 4.5 = 37.33096 in^3 so it is closest to 37 cubic inches.
Hope this helps :)
Answer:
8x - 10
Step-by-step explanation:
3x - 7 + x + 2 + 3x - 7 + x + 2
8x - 10
Answer:
The given information tells us that AFD is either an equilateral or isosceles triangle. We can see by the diagram that it is not equilateral, so the correct answer here would be the second one, "Isosceles".
