The approximate length of side a is 9.12 in. The correct option is B. 9.12 in
<h3>Law of Sines </h3>
From the question, we are to determine the approximate length of side a
From the given information, we have that
m∠B = 114°, m∠C = 22°
Thus,
m∠A = 180° - (114° + 22°)
m∠A = 180° - 136°
m∠A = 44°
Now,
From the law of sines, we have that
a/sinA = b/sinB
Then,
a/sin44° = 12/sin114°
a = (12 ×sin44°)/sin114°
a = 9.12 in
Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in
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Answer:
24, 6
Step-by-step explanation:
Since the difference of is 3, we know x can be 2 or 8
so 3 * 2 is 6 and 3 *8 = 24
Hope this helps
Complete question :
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answer:
13.80 feets
Step-by-step explanation:
Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :
To obtain x :
Sinθ = opposite / hypotenus
Opposite = 12.5 feets ; hypotenus = x ; θ = 65°
Sin 65 = 12.5 / x
0.9063077 * x = 12.5
x = 12.5 / 0.9063077
x = 13.792225
x = 13.80 feets
<span>The graph of g(x) is f(x) translated to the left 8 units and up 2 units. Eight units left would mean that the x value is added with 3 units to the negative side. Two units up means that f(x) is moved to point 2. Therefore, the equation would be written as follows:
f(x) + 2 = x</span>² - 3
Hope this answers the question.
