The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.
<h3>How to determine the length of extra cable?</h3>
In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
Substituting the given parameters into the formula, we have;
B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23
B² = 105,625 + 184,900 - 279,500(0.9205)
B² = 290,525 - 257,279.75
B² = 33,245.25
B = √33,245.25
B = 182.33 ≈ 182 meters.
Read more on cosine law here: brainly.com/question/11000638
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Answer:
Step-by-step explanation:f
(
x
)
=
x
4
−
3
,
g
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x
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=
4
x
2
+
2
x
−
4
(
f
+
g
)
(
x
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Distribute the value across the operation.
f
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x
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+
g
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x
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Evaluate
f
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x
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.
Tap for more steps...
x
4
−
3
Evaluate
g
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x
)
.
Tap for more steps...
4
x
2
+
2
x
−
4
Compose the result function for
f
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x
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+
g
(
x
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by replacing the function designators with the actual functions.
x
4
−
3
+
(
4
x
2
+
2
x
−
4
)
Simplify.
Tap for more steps...
4
x
2
+
9
x
4
−
7
<span>Population mean (u) = $131.80
Standard deviation (sd) = $29.12
Sample number (n) = 15
Sample mean = $150
Using Z score formula..
Z = (150 - 131.80)/ (29.12)/15^1/2
Z = 2.420
Area under the curve (alpha) with Z = 2.420 = 49.22
In percentage Alpha = 0.4922
Probability = 1-Alpha
Probability = 1- 0.4922 = 0.5078</span>
Answer:
Step-by-step explanation:
we can use the distributive property and write it as
(-2g-g ) + (7-11)
-3g -4
