Angle Relationships
The measure of the supplement of an angle is four times the measure of the angle. Find the measures of the angle and its supplement.
36Β°; 144Β°
A square garden has a side length of 7.5 meters. What is the total perimeter of the garden?
30 meters
The volume of a rectangular shoe box with a length of 12 inches, a width of 6 inches, and a height of 5 inches.
360 cubic inches
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
right 8, up 4
A national sports equipment retailer is selling golf balls in bags of 50 golf balls per bag. A consumer advocate group checks 10 random bags, and the actual count for these is 50, 50, 50, 50, 50, 50, 50, 50, 50, and 50 balls per bag. How accurate and precise is the retailerβs advertisement? Explain your reasoning.
Both, accurate and precise
β π and β π are complementary. The measure of β π is 38Β° less than the measure of β π. Find the measure of each angle.
πβ π΄=ππΒ°; πβ π΅=ππΒ°
Find the width of a rectangular painting if its perimeter is 54 inches and its length is 16 inches.
11 inches
The volume of a waffle cone that has a base radius of 3 centimeters and a vertical height of 10 centimeters (using 3.14 for pi)
94.2 cubic centimeters
(-3, -2)
A coffee maker manufacturer claims that the customer will get 48 six-ounce cups of coffee from a one-pound bag of coffee. A survey of 7 customers reveals that actual cup counts by the customers of 49, 50, 53, 47, 45, 42, and 53. Is the manufacturerβs claim accurate? Is the manufacturerβs claim precise? Explain your reasoning.
Neither accurate or precise
Find the measures of two supplementary angles if the difference between the measures of the two angles is 62Β°.
59Β°; 121Β°
The area of a circular rug that has a radius of 4 feet.
50.24 square feet
The volume of a spherical basketball with a radius of 3 inches.
113.1 inches
A rotation of this many degrees about the origin transforms the coordinate (4, -5) into (-4, 5)
180 degrees
The city utility department used two meters to measure 10,000 gallons of water passing through a water main. What is the approximate error for each meter?
a. Meter A measured 10,240 gallons.
b. Meter B measured 9900 gallons.
240 gallons
100 gallons
β π and β π are complementary. The measure of β π is 24Β° more than the measure of β π. Find the measure of each angle.
πβ πΊ=ππΒ°; πβ π»=ππΒ°
Find the area of a rectangular field whose length is twice its width, given its total perimeter is 72 meters.
288 meters (w = 12 & l = 240)
The volume of a cylindrical soda can with a radius of 2 centimeters and a height of 10 centimeters (use 3.14 for pi).
125.6 cubic centimeters
If (x, y) is reflected across the x axis and then reflected again across the y axis, what will be the new coordinates?
(-x,-y)
The local hardware store sells nylon rope in packages labeled as containing 100 feet of rope. The rope in one package measured 101.5 feet. What is the approximate error?
1.5 ft
β π΅ and β πΆ are supplementary. The measure of β π΅ is 83Β° more than the measure of β πΆ. Find the measure of each angle.
πβ π©=πππ.πΒ°; πβ πͺ=ππ.πΒ°
The diameter of a circular pizza whose total area is 113.04 square inches (using 3.14 for pi)
12 inches
The total surface area of a rectangular prism that is 4 meters long, 3 meters wide, and 2 meters high.
52 square meters
Give me the new coordinates of βLMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6,-1), M'(12,0), N'(9,5)
Carmen got a price of $6.50 per square foot to put wallpaper on her bathroom wall. The wall measures 8 feet by 10 feet. What is the possible range of cost for this work?
least possible cost = $463.13; greatest possible cost = $580.13