Hi, thank you for posting your question here at Brainly.
All you have to do to acquire the equation is to substitute the variables to the formula for A and simplify. Since A = 1/2*b*h and h = bsin(C), then A can be in terms of one variable only, which is b.
A = 1/2*b*bsin(c)
A = 1/2*b^2*sin(C)
Answer:
Step-by-step explanation:
y + 6 = 12(x - 7)
y + 6 = 12x - 84
y = 12x - 90
Answer:
∠A = 107
∠B = 73
Step-by-step explanation:
∠A , ∠B are supplementary. So, ∠A + ∠B = 180
5x + 27 + 5x - 7 = 180
5x + 5x + 27 - 7 = 180 {Combine like terms}
10x + 20=180
10x = 180 -20
10x = 160
x = 160/10
x = 16
∠A = 5x + 27 = 5*16 + 27 = 80 + 27 = 107
∠B = 5x - 7 = 5*16 - 7 = 80 - 7 = 73
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
Answer:
The first three nonzero terms in the Maclaurin series is
Step-by-step explanation:
GIven that:
The Maclaurin series of cos x can be expressed as :
From equation(1), substituting x with (4x), Then:
The first three terms of cos (4x) is:
Multiplying equation (2) with (3); we have :
Finally , multiplying 5 with 
; we have:
The first three nonzero terms in the Maclaurin series is
