Answer:
5 row, 3 left
Step-by-step explanation:
She has 48 flowers, 5 flowers one row
How many rows can she make? So divide
48/ 5
= 9.6
So she can only make 9 rows
The leftovers flowers are the flowers that didn't manage to make 5 per row
Therefore, if she can make 9 rows, in other words 9 x 5 = 45
45 flowers were able to be placed in a sequence of 5 per row
So the ones that are left is
48 - 45
= 3
Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
24 / 30 x 100 = 80
answer: <span>Twenty-four is 30% of 80</span>
One pair is 4.345+4.345 (which is the pair that does not involve grouping)
