Answer:
-0.64
Step-by-step explanation:
Given:
4[2/5(-2.5)]
Find:
Value
Computation:
⇒ 4[2/5(-2.5)]
⇒ 8 / [-12.5]
⇒ -0.64
Answer:
<h2>
x = 85° </h2>
Step-by-step explanation:
m∠ADC = 180° - 95° {a straight angle}
m∠ABC = 180° - x {a straight angle}
m∠ADC + m∠ABC = 180° {a quadrilateral inscribed in a circle}
180 - 95° + 180 - x = 180°
85° - x = 0
<u>x = 85° </u>
Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
Answer: D) Tan x sin x
<u>Step-by-step explanation:</u>

Answer:
force = 21 kg m/s^2 = 21 N
Step-by-step explanation:
If an object has mass (m) 3 kg, and its acceleration (a) is 7 m/s^2, its force is given by Newton's second law of motion: Force = M * a
Force = 3 kg * 7 m/s^2= 21 kg * m/s^2
This combinations of units (kg * m/s^2) is defined as Newtons in physics and abbreviated "N".
So we can say that the force on this object is of magnitude 21 N