By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is
from the figure,
Using Pythagoras we can write
Thus the distance between the men eyes to the top of the tree is 33.95 m
Answer:
<h2>The number of Starbucks predicted in 2015 is 2697.</h2>
Step-by-step explanation:
There is an increment of 21% on yearly basis.
In 1982, the number of starbucks were 5.
In 1983, the number of starbucks will be .
In 1984, The number will become .
In the year of X, the number of starbucks will be , where t = X - 1982.
In 2015, t = 2015 - 1982 = 33.
The number of starbucks in 2015 is .
Answer:
a = 102.05
b = 393.76
B = 93°
Step-by-step explanation:
The law of sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Since the sum of angles in a triangle is 180°, angle B must be ...
B = 180° -72° -15° = 93°
and the unknown sides must be ...
a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192
B = 93°
b = 375·sin(93°)/sin(72°) ≈ 393.75796
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The rounding requirement got cut out of your picture, so we can't help you with that.