Rectangle:
A=l(w)

A=12(6)

A=72cm^2

Semicircle:
r=6/2

r=3

A=(3.14(r)^2(1/2)

A=3.14(3)^2(1/2)

A=3.14(9)(1/2)

A=14.13cm^2

A=14.1cm^2

Total area: 72cm^2 + 14.1cm^2 = 86.1cm^2

6 0

2 years ago

2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?

Lina20 [59]

Answer:

D. 1/15

Step-by-step explanation:

Actual tree = 10 ft = 12 × 10 = 120 in.

Model tree = 8 in.

Scale factor = model tree/actual tree

Scale factor = 8/120

Scale factor = 1/15

4 0

2 years ago

Solve the following equation |x – 3| = 4. Show all work.

Igoryamba

<h2>Solving Equations with Absolute Values</h2><h3>Answer:</h3>

$x = 7$ and $x = -1$

<h3>Step-by-step explanation:</h3>

Solving for the Positive Absolute Value:

$|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7$

Solving for the Negative Absolute Value:

$|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1$

8 0

3 years ago

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