Answer:
Step-by-step explanation:
Sin 21 = 
Sin 21 = 
0.3583 =
0.3583*15 = BC
BC = 5.3745 = 5.37 m
Tan ∅ = 
Tan ∅ = 
∅ = tan⁻¹ (0.7448) = 36.67 = 36.7
Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
Answer: I believe it is Response 3
Step-by-step explanation:
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
3x - 5y = - 9 → (1)
x + 2y = 8 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is
- 3x - 6y = - 24 → (3)
Add (1) and (3) term by term to eliminate x
(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is
- 11y = - 33 ( divide both sides by - 11 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting in (2)
x + 2(3) = 8
x + 6 = 8 ( subtract 6 from both sides )
x = 2
Solution is (2, 3 )
Slope = m
Equation to find slope is:
m = (y2 - y1) / (x2 - x1)
2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2
So...
m = (y2 - y1) / (x2 - x1)
m = (5 - (-2)) / (8 - 4)
m = 7 / 4 or 1.75
Therefore, the slope of the line is 7/4 OR 1.75.
