Answer: D) 24
===============================================
Explanation:
Find the prime factorization of each value given
- 28 = 2*2*7
- 15 = 3*5
- 21 = 3*7
- 24 = 2*2*3
Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.
Focusing on 24 and 18, we see that
which shows that 6 is the GCF of 24 and 18.
The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
Read more about law of cosines at:
brainly.com/question/4372174
#SPJ1
To solve this problem, we use the formula:
z = (x – u) / s
where z is the z score value which can be obtained from
the tables, x is the sample value, u is the mean = 6.3 min, and s is the std
dev = 2.2 min
at P value = 0.90, the z = 1.28, finding for x:
x = z s + u
x = 1.28 * 2.2 + 6.3
x = 9.116
at P value = 1.0, the z = 3.49, finding for x:
x = z s + u
x = 3.49 * 2.2 + 6.3
x = 13.978 ~ 14
Therefore the longest 10% calls last about 9.1 minutes to
14 minutes
The answer is B because thats the correct way to use a proper adjective
