Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
P(E) = P(E1) + P(E2) + ...
10x=12x-25
-2x=-25
2x=25
x=2.5
The square root of 7899 is (about) 88.8763186. This can be rounded to 88.9.
Answer:
0.4r
Step-by-step explanation:
40% of the price of r dollars
To translate into an expression, we outline te keywords
Percentage of price = 40%
The price in question = $r
Hence, the expression will calculate, 40% of the price
Hence, we'll have :
40% of price
(40 / 100) * r
0.4 * r
= 0.4r
