Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
<h2>Length = 13 in.
</h2>
Step-by-step explanation:
perimeter of a rectangle (P) = 2L + 2W
where;
P = 42 in.
Length (L) = 5 + W
Find:
length (L) of the rectangle
solution:
P = 2L + 2W
42 = 2(5 + W) + 2W
42 = 10 + 2W + 2W
42 - 10 = 4W
32 = 4W
W = 32/4
W = 8
Length (L) = 5 + W
= 5 + 8
= 13 in
proof:
42 = 2(13) + 2(8)
42 = 42 in
Answer:
x = 2.25 y = 0.75
Step-by-step explanation:
2x = 9.5- 5
2x = 4.5
x = 4.5 ÷ 2
x = 2.25
know we now what is x so in the second one we evaluate x
3(2.25) + 5y = 10.5
6.75 + 5y = 10.5
5y = 10.5- 6.75
5y = 3.75
y = 3.75 ÷ 5
y = 0.75
that's it !
if you want to check your answer you can evaluate x and y so it will be like
2×2.25 + 5
= 4.5 + 5 = 9.5
and
3× 2.25 +5×0.75
= 6.75 + 3.75 = 10.5
12.6-10.5=2.1(1.5 pounds) 2.1 divided by 3 = 0.7x2= 1.4 Therefore one pound of cheese is £1.40
There are 10 letters in the set {a, b, c, d, e, f, g, h, i, j} which is the pool of letters to choose from when making these three letter codes.
We have 10 choices for slot 1
Then 9 choices for slot 2. This is because we can't reuse the choice for slot 1
Then 8 choices for slot 3
Overall, there are 10*9*8 = 90*8 = 720 different permutations
Answer: 720
Note: you can use the nPr permutation formula with n = 10 and r = 3 to get the same answer
