10-1-1 answers to hw

10-12. See below:
a. 12, rational
b. 3.78, irrational
c. 0.5, rational

10-13. See below:
a. 5 inches
b. 150 sq inches

10-14. Triangle =
, rectangle= (21.25)(7.6) = 161.5m2, total area=
199.5 m2, hypotenuse of triangle is 12.56 m, so perimeter = 72.66m.

10-15. See below:
a.
b.
c.
d.

10-16. Possible equation: 6p + 28 = 80, where p = packs of plants, p = 8 , so 9
packs are needed.

10-17. See below:
. y = 1.5x − 6.5
a. x = 14
b. x = 114
c.
10.1.2 HW answers
Lesson 10.1.2

10-19. See below:
a. P = 52 in, one side =
in.
b. SA = (132)(2) + 40 · 52 = 2418 sq in.
c. V = (132)(40) = 6760 in.3

10-20. See below:
. The lateral face is a rectangle. Lateral area = 40 · 52 = 2080 sq. in. To find area of
the circles, the radius is needed.
a. C = 52 in. Circumference can be used to find diameter and radius.
16.55 = d, so r ≈ 8.28 in.
≈
b. A = 8.282 · π ≈ 215.38 sq in.; total surface area = 2510.77 sq. in.

10-21. Sample response: The cylinder could be cut parallel to the base into circular
slices. The same method for finding the volume of a prism can then be used, but this
time the area that is multiplied by the 40 will be the area of the circular base. V =
(8.282)(π)(40) = 8615.30 in.3

10-22. The cylindrical bag requires more fabric. The cylindrical bag 8615.3 in 3., and
the prism bag holds 6760 in3. Recommendations vary. See Suggested Lesson
Activity.

10-23. SA = (10π) 12 + 2(52π) = 170π = 534.07 cm2. V = (52π)(12) = 250π = 942.48
cm3.

10-24. See below:
. Find unlabeled edges using Pythagorean Theorem, hypotenuse of the triangle
is
a. 12 m by 9 m, 12 m by 13 m, and 12m by 15.81m
b. 108 + 156 + 189.72 + 2(58.5) ≈ 570.72 m²

Answers to Hw 10.1.3

10-41. Find the volume of the cone shown in problem 10-37. Homework Help ✎


10-42. The pyramid at right has a volume of 312 cubic
feet. If the prism next to it has the same base area and height, what is its
volume? Explain how you know. Homework Help ✎


10-43. Which table or tables below show a proportional relationship? Justify your
answers. Homework Help ✎
a.
b.
c.

10-44. Find the volume of the prism at
right. All angles are right angles. Homework Help ✎

10-45. Graph the points (−2, 4), (2, 1), (−2, −2) and and connect the points to create a
triangle. 10-45 HW eTool (Desmos). Homework Help ✎
. What is the perimeter of the triangle?
a. Translate the triangle up 2 and right 3. What are the new coordinates?
b. What is the perimeter of the triangle after its translation in part (b)?

10-46. Homework Help ✎
. Make a table for the rule
10. What happened?
that includes x-values from −1 to
a. Graph the rule on graph paper.
b. What kind of growth does the rule show? How do you know?
c. Is this relationship a function? How do you know?

10-41.

10-42. 936 cubic feet; Volume of the prism = 3 times the volume of the cylinder.

10-43. Table (b) is proportional because it is the only one that could contain (0, 0)
and grows using a Giant One.

10-44. 660 mm3

10-45. See below:
a. 16 units
b. (1, 6), (5, 3), and (1, 0)
c. It is still 16 units

10-46. See below:
.
See table below, the rule is undefined for x = −1.
a.
See graph below.
b. Non-linear growth, the values do not increase by a constant amount.
c. Yes, there is only one output for each input.
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
HW 10-65. 9.98 × 1017

10-66.
≈ 1340.41 in.3

10-67.
or approximately 16.47 units, the perimeter is irrational because the decimal
does not repeat or terminate.

10-68. See below:
a. 25x6
b.
c. 6m4n6

10-69. See below:
a. Cannot determine if similar.
b. Similar by AA~,

10-70. ≈ 6.37 in.

10-71. See below:
.
a.
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
Tools ▲

Dictionary
, x=9
≈ 9.33

Translate
W
10-55. Calculate the volume of each sphere described below. Homework Help ✎
a. radius = 5 cm
b. diameter = 3 feet

10-56. If the volume of a sphere is 113.04 ft3, write and solve and equation to find the
radius. Homework Help ✎

10-57. Find the volume of each shape below. Homework Help ✎
. Rectangle-based prism
a. Rectangle-based pyramid

10-58. Homework Help ✎
. Make a table for the rule y = 2x3 that includes x-values from –3 to 3. 10-58 HW
eTool (Desmos).
a. Graph the rule on graph paper.
b. What kind of growth does the rule have? Is the rule a function? Explain
your answers.

10-59. Sarah and three of her friends left her house for a long bike ride on the river
bike path. They rode for three hours at 10 miles per hour and then rested for an hour
while they ate their lunches. After lunch, they raced each other back to Sarah’s house
at 15 miles per hour. Homework Help ✎
. Draw a graph that could represent this situation. Place “Time (hours)” on the
horizontal axis and “Distance (miles from Sarah’s house)” on the vertical axis.
a. Describe each part of the graph using the following words: linear, nonlinear,
decreasing, increasing, and constant.

10-60. Sherice can fill lemonade cups at a rate of four cups per minute. Homework
Help ✎
. How many cups can she fill in 6 minutes?
a. How many cups can she fill in 10 minutes?
b. If Sherice fills c cups in t minutes, write an equation that relates c and t.

10-61. Calculate the value of x. Homework Help ✎
.
a.
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