Question

peter drew a scale drawing of is room with a length of 10 inches.the actual length of his room is 13 1/9 feet.the actual length of his desk is 40 inches.approximately what is the length of the desk in the drawing

a.2/5 c.2 3/5
b.2 1/2 d. 2 7/10

Answer 1

what is the area if a circle with a diameter of 42cm

Answer 2

We can use proportions to solve the problem.

Let x be the length of the desk in the drawing. We can set up the proportion:

10 inches (length in drawing) / x inches (length of desk in drawing) = 13 1/9 feet (actual length) / 40 inches (actual length)

Cross-multiplying, we get:

10 inches * 40 inches = x inches * 13 1/9 feet

Simplifying, we get:

x = (10 inches * 40 inches) / (13 1/9 feet)

Converting 13 1/9 feet to inches, we have:

13 1/9 feet * 12 inches/foot = 157 inches

Substituting, we get:

x = (10 inches * 40 inches) / (157 inches)

Simplifying, we get:

x ≈ 2 3/5 inches

Therefore, the approximate length of the desk in the drawing is 2 3/5 inches, which is option C.

Answer 3

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

To find the radius, we can divide the diameter by 2:

r = d/2 = 42 cm / 2 = 21 cm

Substituting this value into the formula, we get:

A = πr^2 = π(21 cm)^2 ≈ 1385.44 cm^2

Therefore, the area of the circle is approximately 1385.44 square centimeters.