Find the square root of 169: √169
A. 13, - 13
B: 13
C. -13
D. 84.5
9 answers
The square root of 169 is 13, so the correct answer is B. 13
find the cube root of -729: ∛-729
A. 9, -9
B. -9
C. 9
D.243
A. 9, -9
B. -9
C. 9
D.243
To find the cube root of -729, you can use the following steps:
Step 1: Determine the sign of the cube root by looking at the given number. In this case, since -729 is a negative number, the cube root will be negative.
Step 2: Take the absolute value of the number to find the cube root of the magnitude. In this case, the absolute value of -729 is 729.
Step 3: Find the cube root of the absolute value. The cube root of 729 is 9.
Step 4: Apply the sign determined in Step 1 to the result from Step 3. Since the sign is negative, the cube root of -729 is -9.
Therefore, the correct answer is A. 9, -9.
Step 1: Determine the sign of the cube root by looking at the given number. In this case, since -729 is a negative number, the cube root will be negative.
Step 2: Take the absolute value of the number to find the cube root of the magnitude. In this case, the absolute value of -729 is 729.
Step 3: Find the cube root of the absolute value. The cube root of 729 is 9.
Step 4: Apply the sign determined in Step 1 to the result from Step 3. Since the sign is negative, the cube root of -729 is -9.
Therefore, the correct answer is A. 9, -9.
find the cube root of -8: ∛-8
To find the cube root of -8, you can use the following steps:
Step 1: Determine the sign of the cube root by looking at the given number. In this case, since -8 is a negative number, the cube root will be negative.
Step 2: Take the absolute value of the number to find the cube root of the magnitude. In this case, the absolute value of -8 is 8.
Step 3: Find the cube root of the absolute value. The cube root of 8 is 2.
Step 4: Apply the sign determined in Step 1 to the result from Step 3. Since the sign is negative, the cube root of -8 is -2.
Therefore, the correct answer is: ∛-8 = -2.
Step 1: Determine the sign of the cube root by looking at the given number. In this case, since -8 is a negative number, the cube root will be negative.
Step 2: Take the absolute value of the number to find the cube root of the magnitude. In this case, the absolute value of -8 is 8.
Step 3: Find the cube root of the absolute value. The cube root of 8 is 2.
Step 4: Apply the sign determined in Step 1 to the result from Step 3. Since the sign is negative, the cube root of -8 is -2.
Therefore, the correct answer is: ∛-8 = -2.
Find the cubic root of 135
A. 3 ∛5
B. 3√5
C. 5∛27
D. ∛5
A. 3 ∛5
B. 3√5
C. 5∛27
D. ∛5
To find the cubic root of 135, we need to find a number that, when raised to the power of 3, gives us 135.
We can start by trying different values. Let's start with 3:
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
Since 5^3 is closest to 135, the cubic root of 135 is 5.
Therefore, the correct answer is C. 5∛27.
We can start by trying different values. Let's start with 3:
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
Since 5^3 is closest to 135, the cubic root of 135 is 5.
Therefore, the correct answer is C. 5∛27.
What is the circumference of a circle with a diameter of 4.5 miles estimate the circumference to the hundredths place using 3.14 for pie
A. 7.07 miles
B. 14.2 miles
C. 63.59 miles
D 14.13 miles
A. 7.07 miles
B. 14.2 miles
C. 63.59 miles
D 14.13 miles
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the diameter is 4.5 miles, we can calculate the circumference using the value of π as 3.14:
C = 3.14 * 4.5
C ≈ 14.13
Rounding to the hundredths place, the estimated circumference of the circle is 14.13 miles.
Therefore, the correct answer is D. 14.13 miles.
Given that the diameter is 4.5 miles, we can calculate the circumference using the value of π as 3.14:
C = 3.14 * 4.5
C ≈ 14.13
Rounding to the hundredths place, the estimated circumference of the circle is 14.13 miles.
Therefore, the correct answer is D. 14.13 miles.
1 answer