Answer:
Step-by-step explanation:
The triangles are drawn below.
CD is perpendicular to AB as CD is height to AB.
Therefore, angles 
°
So, triangles ΔCBD and ΔCAD are right angled triangles.
Now, from the right angled triangle ΔABC,
From ΔCBD,
is same as 
.
So, 
Now, from ΔCAD,
is same as 
So, 
Hence, the unknown angles of both the triangles are:
Answer:
C
Step-by-step explanation:
cos(theta) is positive in IV quadrant and sin(theta)=sqrt(13^2-5^2)/13=-12/13
Answer: He bought 8 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so if you multiply 4 by 2 then you get 8,
Answer: 45
Step-by-step explanation:
Total number of 8th graders that signed up = 30
9 dropped out. So the total number 8th graders on board the game
= 30 - 9 = 21
46 2/3 % of the club are 8th graders i.e 21
Let T be the total number of students in the club
46 2/3 % T = 21
(140/3)% T = 21
(140/300)T = 21
T = (21x300)/140 = 45
Therefore, there are 45 students on the club
x is your starting running time. 1/10 of a minute is 6 seconds, so you can do x - 6(6). 6 times 6 = 36, so your answer is x - 36 seconds. 36 seconds.
