Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
18) the answer is 3 because CD is a segment bisector that seperates both AB and BD into 2 congruent segments.And perpendicular lines form right angles.
19) the answer is 1 because the S represents AB is congruent to BD. Then, A represents the right angles: angle ADC and angle BDC. Lastly. S is represented by the common side which is segment CD.
Answer:
she will be taking 3600 mgs. in 90 days
Step-by-step explanation:
if she is taking a 20 mgs. twice a day that will make it 40 mgs. a day. If she takes it for 90 days
you will multiply 90 by 40
so
90
x40
= 3600 mgs. in 90 days
Correct Question:
John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.
Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
Total hours = 86
Let t is the hours he spent on tutoring
then (86-t) is hours spent on waiting
Let Y is the total amount in dollars which is required .
Now;
y = (tutoring hours x 12$) + (waiting hours x 8$)
Y = 12t + 8(86-t)
Well if all angles are suppose to add up to 360 degrees you can the angles to see if the equal up to 360 degrees, 264+96=360.
