the bells will ring at 3:00pm
Answer:
v ≈ (3.28512, 20.74146)
Step-by-step explanation:
v = 21(cos(81°), sin(81°))
v ≈ (3.28512, 20.74146) . . . . (x, y) components
The notation varies among authors. The vector can be written as ...
(r, θ) = (21, 81°)
r∠θ = 21∠81°
r cis θ = 21 cis 81°
v = 21·e^(i·9π/20)
(x, y) ≈ (3.28512, 20.74146)
v = 3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)
Answer:640
Step-by-step explanation:
Since 15 out of every 75 fish are more than 30 cm long, the probability of finding a fish more than 30 cm is P(x > 30) = 15/75 = 1/5.
The probability of finding a fish 30 cm or less is P(x ≤ 30) = 1 - P(x > 30)
= 1 - 1/5
= (5 - 1)/5
= 4/5
Since we have 800 fish and the probability of finding a fish 30 cm or less is P(x ≤ 30) = 4/5, then the number of fish in the population that are 30 cm or less in length are 800 × P(x ≤ 30) = 800 × 4/5
= 160 × 4
= 640
So, 640 fish in the population are 30 cm or less in length
Answer:
correct choice is 1st option
Step-by-step explanation:
Two given triangles have two pairs of congruent sides: one pair of length 7 units and second pair of length 8 units. The third side is common, i.e the lengths of third sides are equal too.
Use SSS theorem that states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Thus, given triangles are congruent by SSS theorem.
Answer:
0
Step-by-step explanation:
it looks like the term is increasing by 2 each time