Answer:
26, 68 and 84
Step-by-step explanation:
Let the angle that is three times smaller than another be X.
Since the angle sum of a triangle is 180 degrees, we can form the following equation:
X + 3X + (3X- 16) = 180
Now we can simplify this equation:
7X - 16 = 180
7X = 196 (add 16 to both sides)
X = 196/7
X = 28
Therefore, the smallest angle is 28 degrees.
And from here we can figure out the other angles as they are 3x28 and 3x28 - 16.
So the three angles are 28 degrees, (3x28-16) 68 degrees, and (3x28) 84 degrees.
1. B. The retail price would be the purchase price plus the markup.
So p+.40p = 1.40 p = 1.4 p. (p is really 1 p)
C. You would multiply: 1.4(56) = $78,40
D. You could multiply .4p = .4(56). OR subtract: 78.40-56 = $22.40
2. Done
3. 10(.35) = $3.50 —— 10+3.50=$13.50
4. 40(.25) = $10 ———- 40+10=$50
5 Done
6. $30.50/30% markdown 30.50(.30) = $9.15; 30.50-9.15= $21.35
7. $105/75% markdown 105(.75) = 78.75; 105-78.75= $26.25
8. $325/15% markdown 325(.15) = 48.75; 325-48.75= $276.25
9. C/40%markup Total retail:.40c + c = 1.40C
Okay so just put the 4 in for x
and multiply
Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:
1150 km/hr
Step-by-step explanation:
Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours
In the question we are given the following parameters.
The length of a planet's orbit around a star = Distance = 17,650,000 km.
Time taken to complete a full orbit = 640 Earth days
Step 1
We need to convert the time in days to hours
1 Earth day = 24 hours
640 Earth days =
We cross multiply
640 Earth days × 24 hours
= 15360 hours.
Step 2
Average Speed = Distance in Kilometers/ Time in Hours
Average Speed = 17,650,000 km. /15360 hours
Average Speed = 1149.0885417 km/hr
Approximately to 3 significant figures=
1150 km/hr
Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr
