Answer:
the cell phone tower is 488 ft
Step-by-step explanation:
change 12 in = 1ft
4ft x ft
------------------- = ----------------
1ft shadow 122 ft shadow
using cross products
4 * 122 = 1 * x
488 = x
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
Step-by-step explanation:
The pediatrician said that the z-score for the boy's height, relative to other 2-year-olds in the country, was 1.59
He explains to the parents of the boy, that the extreme 5% of cases often require special attention.
(A) Does this child fall into that group?
Yes, this child falls into that group. He is among the extreme 5% of cases at the tail of the distribution.
(B) What do you need to assume about the heights of 2-year-olds, in order to find your answer to part (A)?
Assume that the distribution of heights is skewed, the heights are independent of one another, and the number of heights is very large.
Answer:gnhbk j bmnj
Step-by-step explanation:
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
