Desirae purchased a circular clock with a radius of 4.5 inches. She is going to glue a rope along the outer edge of the clock as decoration. Find the length of the rope that Desirae will need. Use the circumference formula: C = 2πr.
A. 28.26 inches
B. 14.13 inches
C. 63.59 inches
D. 56.52 inches
C. 63.59 inches
Using the circumference formula:
C = 2πr
C = 2 x π x 4.5
C ≈ 2 x 3.14 x 4.5
C ≈ 28.26 inches
Therefore, Desirae will need approximately 63.59 inches of rope for decoration.
Krista has three cube shaped planters that she will fill with soil and use to plant different herbs. If the edge of each cube measures 4 inches long, what is the combined volume of the three planters?
A. 64 in3
B. 128 in3
C. 192 in3
D. 288 in3
To find the volume of one cube, you use the formula V = s^3, where s is the length of one edge of the cube.
V = (4)^3
V = 64 in^3
The combined volume of the three planters is:
64 in^3 (one planter) x 3 = 192 in^3
Therefore, the combined volume of the three planters is 192 in3.
C. 192 in3
The spinner shown is divided into 8 equal sections. If the spinner is spun 144 times, what is a reasonable number of times to expect the spinner to land on an odd number?
numbers on spinner: 10, 9, 4, 8, 12, 7, 3, and 6.
A. 54 times
B. 72 times
C. 90 times
D. 384 times
There are 8 numbers on the spinner, 4 of which are odd numbers (9, 7, 3, 10) and 4 are even numbers.
Since the spinner is spun 144 times and it is equally divided into 8 sections, we can expect an even distribution if the spinner is fair.
If we have an equal number of spins for each section, we can expect approximately 50% of the spins to land on an odd number, so it would be reasonable to expect the spinner to land on an odd number about half of the time.
Therefore, a reasonable number of times to expect the spinner to land on an odd number would be:
0.5 x 144 = 72 times
B. 72 times
The angle measures of a triangle are marked below. Find the value of x.
Numbers on the angle are: (8x), 64, and (9x - 3).
A. x = 11
B. x = 7
C. x = 1.7
D. x = 8
The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up an equation to find the value of x:
(8x) + 64 + (9x - 3) = 180
17x + 61 = 180
17x = 119
x = 119 / 17
x = 7
Therefore, x = 7.
B. x = 7
A bag contains a total of 150 green and blue marbles. Without looking, a student chooses a marble, records the color, and places it back in the bag. The student records 4 green marbles and 11 blue marbles. Which is the best prediction of the total number of blue marbles in the bag?
A. 40
B. 54
C. 75
D. 110
To find the best prediction for the total number of blue marbles in the bag, we can set up a proportion using the ratio of blue marbles chosen by the student to the total number of marbles in the bag:
11 / 15 = x / 150
Cross multiply:
11 * 150 = 15x
1650 = 15x
x = 1650 / 15
x = 110
Therefore, the best prediction of the total number of blue marbles in the bag is 110.
D. 110