Circles
What is the diameter if the radius is 5?
10
A rectangle has a length of 2 and a width of 3. A scaled copy is made with a length of 6 and a width of 9. What is the scale factor?
3
Ali and Kiana buried a treasure together on their schoolβs field. The actual field is 400 feet wide. Ali made an 8-inch-wide map to record its location. Kiana made her map using a scale of 1 in. to 20 ft. On Kiana's map, the treasure is 2 inches from the south edge of the field. How far is the treasure from the south edge on Ali's map?
0.8in
Find the constant of proportionality
(18, 3)
(54, 9)
(12, 2)
(1, 6)
A pair of designer sneakers was purchased for $120. Since the purchase, the price of the sneakers has increased by 15%. What is the new price?
$138
Find the circumference of a circle with a radius of 12.
24pi
In scaled copies, the sides are _________and the angles are___________.
proportional, congruent
Which scales are equivalent to `3` cm to `4` km?
0.75cm to 1 km
1cm to 3/4km
6km to 8cm
7.5cm to 10 km
0.75cm to 1 km
7.5cm to 10 km
Which of the following represent proportional relationships?
y=2/x
y=2/3*x
a turtle walks at a constant speed of 2 miles per hour
a turtle walks for a little bit, then stops for a few seconds, then walks again
a straight line going through the point (0, 0) on a graph
y=2/3*x
a turtle walks at a constant speed of 2 miles per hour
a straight line going through the point (0, 0) on a graph
A pair of designer sneakers was purchased for $120. Since the purchase, the price of the sneakers has increased by 15%. If π₯ is the price before the increase and π¦ is the price after the increase, which equations are correct? Circle all that apply.
A. π¦ = 1. 15π₯
B. π¦ = π₯ + 0. 15
C. π¦ = π₯ + 0. 15π₯
D. π¦ = π₯ + 15
E. π¦ = (1 + 0. 15)x
A, C, E
Which situation(s) would represent circumference?
A. How much paint would be needed to paint the classroom
B. How much space a gymnastic mat takes up
C. Using a string to measure the distance around your wrist to see how big it is?
C. Using a string to measure the distance around your wrist to see how big it is?
Polygon C has side lengths 2, 3, 4, and 6 units. Polygon D has side lengths 4, 5, 6, and 8 units. Could these be scaled copies of each other?
no
Desmond made a scale drawing of his back yard. The actual length is 36 ft. If the scale is 1in:3ft, what is the length on his scale drawing?
12 inches
The x-axis is labeled gas(gallons) and the y-axis is labeled maximum distance (miles). The point (12, 240) lies on the graph. Find the point that represents the constant of proportionality and tell what it means.
(1, 20) The vehicle can go 20 miles with one gallon of gas
A storekeeper increased the price of belts by 7% . A belt was originally priced at $20.00 . What is the new cost of the belt?
$21.40
What is the radius of a circle if the circumference is 56pi
28
A rectangle has dimensional of 14 by 16. A new copy is made with a scale factor of 1/2. What is the area of the new copy?
56 square units
A scale drawing of a park is 6 inches long and 12 inches wide. The actual length of the park is 320 yards long. What is the area of the actual park?
640*320= 204,800 yards
Idella wants to paint her room purple. She ran out of purple paint, so she is going to use mixture of red and blue. She mixed 2 cups of red paint(x) with 3 cups of blue paint(y), but needed more so she mixed 10 cups of red paint with 15 cups of blue paint. If this relationship was graphed, what point would represent the unit rate?
(1, 1.5)
A storekeeper increased the price of belts by 7% . Write an equation to calculate the new total cost, c , when the original price of a belt is p dollars.
c=1.07p
What is the perimeter of the figure? (7.3.04 Cool Down)
10pi + 20
Do area and scale factor have a proportional relationship?
no
Map A has a scale of 1cm:400m, Map B has a scale of 1cm:100m. If the maps represent the same area, which map will be larger? How do you know?
Map B because it would take 4cm to represent 400m, but on Map A, it would only take 1cm to represent 400m.
Trenton took 30 minutes to run 3 miles at a constant rate. Let d represent the number of miles Trenton ran in miles after t minutes. What are the 2 different constants of proportionality between distance in miles and time in minutes? What is the relationship? Write 2 different equations to represent the relationship between t and d
10 & 1/10
They are reciprocals
d=1/10t
t=10d
Mitchell has a summer job mowing lawns. This week, he mowed 45% less lawns than last week due to rain. Write an equation to represent this situation and find how many lawns he mowed this week if he mowed 27 last week.
y=.55x
about 15