Answer:
3.27 meters
Step-by-step explanation:
The given equation gives a y(0) = 0, for the deflection of 3 cm. Then for a deflection of 2.5 cm, we want y(x) = 0.005, half a centimeter above the low point on the beam. Using this value, we can solve for x:
0.005 = 3/6400x^2
32/3 = x^2
4√(2/3) = x ≈ 3.26599 ≈ 3.27 . . . . meters
The deflection of the beam is 2.5 cm at a distance of 3.27 meters from center.
Answer:
2nd choice
Step-by-step explanation:
Horizontal distance = x
angle = α,
tanα = 15/x, so x = 15/tanα
For A, α = 42°, x = 15/tan42° = 16.66 miles
For B, α = 44°, x = 15/tan44° = 15.53 miles
so the answer is 2nd choice
Percent literally means per one hundred so you can say:
420(55/100)
23100/100
231
You could also think of it like setting up equal ratios...
55/100=n/420
n=23100/100
n=231
Answer:
152°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
Complementary angles are two angles that sum to 90°
Let x° = the angle
⇒ Supplement of the angle = 180° - x°
⇒ Complement of the angle = 90° - x°
The difference between the supplement of an angle and twice its complement is 28°:
⇒ (180 - x)° - 2(90 - x)° = 28°
⇒ 180 °- x° - 180° + 2x° = 28°
⇒ x = 28°
Therefore, the measure of the supplement of 28° is:
180° - 28° = 152°
Answer:
72 deg
Step-by-step explanation:
It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°
