Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.
The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.
Then the area of the shaded region is 7/12 of this, or
7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2
Answer:
#1 is the first answer then #2 is the first answer as well
Step-by-step explanation:
basically click the first answer for both of them
Answer:
Step-by-step explanation:
given,
a) √x + 6 = 4
to solve the above equation subtract both side with 6
√x + 6 - 6 = 4 - 6
√x = -2
squaring both side
(√x)² = (-2)²
x = 4
a) ∛x + 6 = 4
to solve the above equation subtract both side with 6
∛x + 6 - 6 = 4 - 6
∛x = -2
cubing both side
(√x)³ = (-2)³
x = -8
