Answer:
Domain:
(
−
∞
,
2
]
,
{
x
|
x
≤
2
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Answer:
Step-by-step explanation:
Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.
For this case we can use the following formula:
For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:
The only acceleration on this case is the gravity and if we replace the values given we got:
Now we can find the required work with the following integral:
The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°
<h3>What is the exterior angles theorem?</h3>
The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.
The given parameters are;
Points on the circle are; ABCD
Straight lines = AOBE and DCE
Segment CO = Segment CE
∠AOD = 69°
∠CEO = x°
∠OCD = ∠ODC base angles of isosceles triangle
69° = ∠x° + ∠ODC exterior angle of a triangle
∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)
180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)
x° + 69° - 2×∠ODC = 0
∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)
69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)
69° = 3·x°
x = 69° ÷ 3 = 23°
Learn more about angles in a triangle here:
brainly.com/question/25215131
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Answer:
5.6
Step-by-step explanation:
2.4 / 3 = x / 7
2.4 x 7 = 16.8
16.8 ÷ 3 = 5.6
