Kym’s sawhorse is 39 inches tall, 27 inches long, and 19 inches wide. Its diagonal measurement, or the hypotenuse, is 40.14 inches. What is its total surface area? Round your answer to the nearest hundredth.

Answer 1

To find the surface area, we need to add up the area of each of the six faces.

The top and bottom faces are both 27 inches by 19 inches, so their combined area is:
2(27 in x 19 in) = 1026 square inches

The front and back faces are both 39 inches by 27 inches, so their combined area is:
2(39 in x 27 in) = 2106 square inches

The two side faces are both 39 inches by 19 inches, so their combined area is:
2(39 in x 19 in) = 1482 square inches

To find the total surface area, we add all of these areas together:
1026 + 2106 + 1482 = 4614 square inches

Therefore, the total surface area of the sawhorse is 4614 square inches (rounded to the nearest hundredth).

Answer 2

Use the image to answer the question.



A coordinate plane shows the x and y axes ranging from negative 6 to 6 in unit increments. Four points are plotted and labeled on the plane. The coordinates of the plotted points and the labels are as follows: left parenthesis 2 comma 1 right parenthesis is labeled as daisies, left parenthesis 5 comma 1 right parenthesis as roses, left parenthesis 5 comma 5 right parenthesis as lilies, and left parenthesis 2 comma 6 right parenthesis as sunflowers.

A map of a flower shop is shown. How far are the sunflowers located from the daisies? Each coordinate represents a foot.

(1 point)
Responses

5 feet
5 feet

3 feet
3 feet

4 feet
4 feet

7 feet

Answer 3

The distance between the daisies and sunflowers can be found by using the distance formula, which is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) are the coordinates of the daisies and (x2, y2) are the coordinates of the sunflowers.

Plugging in the values, we get:

d = √((2 - 2)^2 + (6 - 1)^2)
d = √(0 + 25)
d = √25
d = 5

Therefore, the sunflowers are located 5 feet away from the daisies. Answer: \boxed{5\text{ feet}}.