Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
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The probability that she picks two white socks is 0.0357
<h3>How to determine the probability?</h3>
The given parameters are:
Socks = 8
Black = 4
White = 2
Brown = 1
Red = 1
The probability of picking a white sock at first is:
P(White) = 2/8
Now, there are 7 socks left
The probability of picking a white sock next is
P(White) = 1/7
The required probability is:
P = 2/8 * 1/7
Evaluate
P = 0.0357
Hence, the probability that she picks two white socks is 0.0357
Read more about probability at:
brainly.com/question/251701
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Answer: 7
Step-by-step explanation: 1 + 6 = 7
Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)