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Murljashka [212]
3 years ago
5

What is the circumference of a circle if its diameter is 5 feet? Use 3.14 for Pi.

Mathematics
1 answer:
Elis [28]3 years ago
4 0
Circumference= 15.71 feet squared
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Please help this is very important
alexandr1967 [171]

Answer:

Here's what I get.

Step-by-step explanation:

1. Rotate 180° about origin

The formula for rotation of a point (x,y) by an angle θ about the origin is  

x' = xcosθ  -  ysinθ

y' = ycosθ + xsinθ

If θ = 180°, sinθ = 0 and cosθ = -1, and the formula becomes

x' =   -x

y' =  -y

The rule is then (x, y) ⟶ (-x, -y).

H: (-3, -5) ⟶ (3, 5)

J: (-5, -3) ⟶ (5, 3)

Q: (0, -1) ⟶ (0, 1)  

The vertices of H'J'Q' are (3, 5), (5, 3), and (0, 1).

2. Rotation 90° counterclockwise about origin

cos90°  = 0 and sin90° = 1

x' = xcos90°  -  ysin90° = -y

y' = ycos90° + xsin90° =  x

The rule is then (x, y) ⟶ (-y, x).

B: (4, 5) ⟶ (-5, 4)

L: (5, 0) ⟶ (0, 5)

S: (2, 2) ⟶ (-2, 2)  

The vertices of B'L'S' are (-5, 4), (0, 5), and (-2, 2).

3. Rotation 90° clockwise about origin

cos(-90°) = 0 and sin(-90°) = -1

x' = xcos(-90°)  -  ysin(-90°) =  y

y' = ycos(-90°) + xsin(-90°) =  -x

The rule is then (x, y) ⟶ (y, -x).

F: (1, -5) ⟶ (-5, -1)

H: (-2, -3) ⟶ (-3, 2)

U: (-4, -5) ⟶ (-5, 4)  

The vertices of F'H'U' are (-5, -1), (-3, -2), and (-5, 4).

4. Rotate 180° about origin

The rule is (x, y) ⟶ (-x, -y).

J: (1, -1) ⟶ (-1, 1)

V: (2, 0) ⟶ (-2, 0)

Y: (5, -3) ⟶ (-5, 3)

R: (4, -3) ⟶ (-4, 3)  

The vertices of J'V'Y'R' are (-1, 1), (-2, 0), (-5, 3), and (-4, 3).

The figures below show your shapes before and after the rotations.

7 0
3 years ago
Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?
azamat

Answer:

20

Step-by-step explanation:

165 divided by 8.25 is 20.

6 0
3 years ago
Read 2 more answers
What does f(x-5) do to the graph
Romashka [77]
It moves five squares to the left because it is -5 so it’s decreasing
3 0
2 years ago
Read 2 more answers
Which statement is true? All squares are rectangles. All quadrilaterals are rectangles. All parallelograms are rectangles. All r
azamat

Answer:

all squares are rectangles is true

Step-by-step explanation:

4 0
2 years ago
S=2WH+2WL+2HL SOLVE FOR L
RSB [31]
2WH+2WL+2HL=S\\\\2WL+2HL=S-2WH\\\\L(2W+2H)=S-2WH\\\\\boxed{L=\frac{S-2WH}{2W+2H}}
6 0
3 years ago
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