Answer:
∠x = 63°
Step-by-step explanation:
The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:
128 + x = 180
x = 52
∠BAC = 52°
The angles in a triangle all add up to 180°, so we can set up another equation to find x:
52 + 65 + x = 180
117 + x = 180
∠x = 63°
Answer:
B) 47
Step-by-step explanation:
If we assume the 2.5P is more accurately 2.54P, then we have two relations between N and P:
Solving the second for P gives ...
P = N -10
and substituting that into the first gives ...
2.54(N -10) = 2N
0.54N -25.4 = 0 . . . . . . subtract 2N
N -47.037... = 0 . . . . . . .divide by 0.54
N ≈ 47 . . . . . . . . . . . . . . add 47.037... and round
The closest value of N is 47.
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<em>Comment on the problem</em>
If you take the problem at face value, you compute N=50. The closest offered answer is still 47. In this scenario, the relationship between inches and centimeters is irrelevant, as there are no inches anywhere in the problem.
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
The cost per pound is $2.50.
$20 for 8 pounds
6.70+4.45+2.50+2.50=16.15*0.13=2.09+16.15=18.24
20.00-18.24=1.76
