2800-2100=700
2800/700=4
4% decrease
Answer:
B
Step-by-step explanation:
Since the inequality is < then the line separating the shaded and plain regions will be broken.
Thus graph A or B
Choose a test point in each shaded region and check validity of solution
From A choose (0, 2), then
2 < 0 +
→ 2 <
← False
From B choose (0, - 2), then
- 2 < 0 +
→ - 2 <
← True
Thus the graph representing the inequality is B
To evaluate the expression shown:
we begin by evaluating the numerator:
0.6+2.4(3-0.7×5/7)-7÷3 1/2
re-writing in proper fractions we get:
0.6+2.4(3-0.7×5/7)-7÷7/2
working out the parenthesis we get:
0.6+2.4(3-0.5)-7÷7/2
simplifying the above we get:
0.6+2.4(2.5)-7×2/7
=0.6+6-2
=4.6
working out the denominator we obtain:
5 1/4×4-(5.9-2.7÷9/11)×2 1/2
rewriting in proper fraction we get:
21/4×4-(5.9-2.7÷9/11)×5/2
working out the parenthesis:
21/4×4-(5.9-2.7×11/9)×5/2
=21-(5.9-3.3)×5/2
simplifying gives us:
21-(2.6×5/2)
=21-6.5
=14.5
thus putting back the expression we get:
4.6/14.5
=46/145
Contact area must be 0.00775 m2, which is the area of a circle with 10 cm in diameter.
<span>Are you surprised that such a small cup is, in theory, enough to hold your weight? But it all comes from the equation of pressure: </span>
<span>P = F / S </span>
<span>P= Pressure, in Pascal, [P] </span>
<span>F = Force, in Newton [N] </span>
<span>S = Surface, in squared meters [S] </span>
<span>Pressure (atmospheric) is 101325 Pascal, and the required force (as per your question) is 80Kg = 785 N. Solving for S, you get 0.00775 m2. </span>
<span>You should have seen these suction cups used by glass workers, where a couple of cups are enough to lift a big piece of glass. This depends on how good the cups are and how smooth the surface of the ceiling or glass is. The idea is to have no pressure inside the cup. If you have some air inside the cup then atmospheric pressure might not be enough to hold 80Kg, as calculated.</span>
The question is incomplete. The complete question is here
Angle KJL measures (7x - 8)° and angle KML measures (3x + 8)°. What is the measure of arc KL, if M and J lie on the circle ?
Answer:
The measure of arc KL is 40° ⇒ 2nd answer
Step-by-step explanation:
In any circle:
- Inscribed angles subtended by the same arc are equal
- If the vertex of an angle lies on the circles and its two sides are chords in the circle, then it called inscribed angle
- The measure of an inscribed angle is equal to half the measure of its subtended arc
In a Circle
∵ M lies on the circle
∵ KL is an arc in the circle
∴ MK and ML are chords in the circle
∴ ∠KML is an inscribed angle subtended by arc KL
∵ J lies on the circle
∵ KL is an arc in the circle
∴ JK and JL are chords in the circle
∴ ∠KJL is an inscribed angle subtended by arc KL
∵ Inscribed angle subtended by the same arc are equal
∴ m∠KML = m∠KJL
∵ m∠KML = (3x + 8)°
∵ m∠KJL = (7x - 8)°
- Equate them to find x
∴ 7x - 8 = 3x + 8
- Subtract 3x from both sides
∴ 4x - 8 = 8
- Add 8 to both sides
∴ 4x = 16
- Divide both sides by 4
∴ x = 4
- Substitute the value of x in the m∠KML OR KJL to find its measure
∵ m∠KML = 3(4) + 8 = 12 + 8
∴ m∠KML = 20°
∴ m∠KJL = 20°
∵ The measure of an inscribed angle is equal to half the measure
of its subtended arc
∴ m∠KML =
(m of arc KL)
∵ m∠KML = 20°
∴ 20 =
(m of arc KL)
- Multiply both sides by 2
∴ 40° = m of arc KL
The measure of arc KL is 40°