Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = 
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d =
=
=
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
0.3431
Step-by-step explanation:
Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.
There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.
We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.
That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.
So, the probability of interest is 280/816 ≈ 0.3431.
___
The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".
*See diagram in the attachment
Answer:
27 inches
Step-by-step explanation:
Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches
Perimeter of rectangle = 2(L + W)
L = 11 in.
W = 7 in.
Perimeter of rectangle = 2(11 + 7) = 36 in.
Let perimeter of the triangle be represented by x
Therefore:
36 + x = 63
Subtract 36 from each side
x = 63 - 36
x = 27
Perimeter of triangle = 27 inches
Answer:
<h3>
m∠BAC = 80° </h3>
Step-by-step explanation:
m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°
From ΔABC:
m∠ABC + m∠BCA + m∠BAC = 180°
65° + 35° + m∠BAC = 180°
m∠BAC = 180° - 100°
m∠BAC = 80°
Answer:
x 100 = 80%
Step-by-step explanation: