Answer:
D
Step-by-step explanation:
sin A = opp. /hyp. = CB/AB = 12/ 15 so CB =12 and AB=15
apply Pythagorean Th. for triangle ABC to find AC
AC²= AB²-CB² = 15²-12² = 81; AC = √81=9
tan A = opp./adj. = CB /AC = 12/ 9 = 4/3
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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Answer:
AB = 3 and AC = 4
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
= , substitute values
= ( cross- multiply )
30AB = 90 ( divide both sides by 30 )
AB = 3
and
= , substitute values
= ( cross- multiply )
30AC = 120 ( divide both sides by 30 )
AC = 4
Answer:
375
Step-by-step explanation:
b : r = 15 : 24
r : y = 9 : 15 = 3 : 5 = 24 : 40
Then ...
b : r : y = 15 : 24 : 40
The number of bahs equivalent to 1000 yahs is ...
bahs = (15/40)(1000) = 375
375 bahs are equal in value to 1000 yahs.
Answer:
qp
Step-by-step explanation:
The last one. It's multiplication.
ex:
2 = p
3 = q
pq = 2*3 = 6
qp = 3*2 = 6