Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 
By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
Answer:
106
Step-by-step explanation:
you take 82 and 24 and add them together so it would be like this 2 + 4 = 6 and 8 + 2 = 10 so the 8 is in a tens place so the answer from adding 8 + 2 = 100 because you in the tens place so the final answer would be 106 after adding it all up.
Answer:
1 7/8
Step-by-step explanation:
3/8 * 5/1 = 15/8
<-- First multiply 3/8 by 5
----------------------------------------------
15/8 = 1 with a remainder of 7
<-- Then convert 15/8 to a mixed number by dividing 15 by 8
15/8 = 1 7/8
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
2 (-18 - 6) = -48
By order of operations (PEDMAS) the parentheses are calculated first.
