Answer:
B. 21.64
Step-by-step explanation:
We have been given a triangle and we are asked to find the length of AC (b).
We will use law of cosines to find the length of side AC.

Upon substituting our given values in the formula we will get,
Upon taking square root of both sides of our equation we will be get,
Therefore, the length of b is 21.64 and option B is the correct choice.
Answer:
add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Given:
The equations are


To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is

Where m is slope and b is y-intercept.
On comparing
with the slope intercept form, we get



On comparing
with the slope intercept form, we get


Since,
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
Answer:
24
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x/2 = 3
x = 3×2
x = 6
Therefore
4x = 4 × 6
4x = 24