9) Adding up the numbers in the graph result in a total of 250 students. Adding 58 and 41 gives 99, so 99*100/250%= 39.6%
10) x^2-14x+49 can be factored as (x-7)^2
11) (1,3) is the answer because all of the other order pairs already have a domain value of it. For example, (7,0) is not possible to be part of the function because (7,2) already exists.
12) x^2-6x+9=12+9
(x-3)^2=21
To find the constant in question 12, first divide the middle term by 2, then square it. (assuming a=1 in the form of ax^2+bx+c)
Answer:
Let the distance between woman and pole be "x".
From diagram,
In ΔOAB,
tan 18 = 
tan 18 = 
∴ x =
................ (1)
In ΔOBC
tan 14 = 
tan 14 = 
y = x × tan 14 ..............(2)
equating (2) in (1), we get;
x = 
x = 
∵ tan 18 + tan 14 = 0.574
<em>∴ x = 113.2 ft</em>
<em>i.e. The her distance from the pole is 113.2 ft.</em>
Answer:
90 calories in a banana.
Step-by-step explanation:
O = B - 20 where O is the number calories in an orange and B is a that in banana.
Also 7B = 9O
From the above O = 7B / 9 so substituting in the first equation:
7B / 9 = B - 20
7B = 9B - 180
2B = 180
B = 90.
You can find the missing angles that supplements x. 180 - 90 - 25 = 65. The line is 180, so 2(65) + x = 180. x is 50.