Answer:
A
Step-by-step explanation:
Note that
x² + 12x + 36 is a perfect square → (x + 6)², hence
= 
= (x + 6)
Hence
f(x) × g(x)
= (x + 6)(x³ - 11)
= 
- 11x + 6x³ - 66
= + 6x³ - 11x - 66 → A
Answer:
The table representing the number of students by which mode of transport they travel is given as:
Walk or bike Bus Car Row Total
Below age 15 87 60 18 165
Age 15 and above 65 50 80 195
Column Total 152 110 98 360
We know that a relative frequency of an event is the ratio of frequency to the total number of trials.
i..e we divide each frequencies by 360 to obtain a two-way relative frequency.
Hence,the table is given as:
Walk or bike Bus Car Row Total
Below age 15 0.24 0.17 0.05 0.46
Age 15 and above 0.18 0.14 0.22 0.54
Column Total 0.42 0.31 0.27 1
Answer:
The answer should be 185 tiles.
Step-by-step explanation:
What we're dealing with here is a percentage conversion.
65%=120 tiles
We know that the total number of tiles will equal 100%
Divide both sides of the equation by 65 to get 1%=1.84 tiles
Multiply this equation by 100 to get 100%=184.6 tiles.
Since I assume we are looking for a whole number of tiles, you will want to round up to the next full tile. Hence, 185 tiles.
- The angles are complementary and the value of x is 5
- The angles are supplementary and the value of x is 20
<h3>Complements and supplements of angles.</h3>
The sum of complementary angles is 90 degrees while the s<u>um of supplementary angles is 180 degrees,</u>
7) This is a right angle, the sum of the angles will be complementary (sums up to 90)
65 + 5x = 90
5x = 90 - 65
5x = 25
x = 25/5
x = 5
8) Since the angles form a linear pair, hence the sum is supplementary,
2x + 6x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20
Learn more on complement ans supplements here: brainly.com/question/13517672
