Solve for x. −4/9 x 7=−71/8 x 9
Answers
-4/9 x + 71/8 x = 9 - 7
607/72 x = 2
x = (2 x 72)/607 = 144/607
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Look at this sequence.95, 80, 65, 50,... Which function represents this sequence? A. a(n) = 110n - 15 B. a(n) = 15n + 80 C. a(n) = 95n - 15 D. a(n) = -15n + 95
Find m∠1 if m∠1 = 6x and m∠CAB = 11x+9NEED HELP ASAP PLEASE!
Answers
1.22 a = 12.0 - T (eqn 1)
and for the 20.0 N block:
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction)
2.04 a = T - 6.5 (eqn 2)
[eqn 1] + [eqn 2] → 3.26 a = 5.5
a = 1.69 m/s²
Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5
T = 9.95 N
Now want the resultant force acting on the 20.0 N block:
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N
Units have to be consistent ... so have to convert 75.0 cm to m:
75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m
work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J
Final answer:
The total work done on the 20.0 N block as it moves 75.0 cm to the right, with no friction between the table and the block, is 15 Joules.
Explanation:
In physics, work done by a force is given by the formula Work = Force x Distance x Cos θ, where θ is the angle between the force and the direction of motion. Here, the force is the same as the weight of the 20.0 N block (because weight = mass * gravity, and the mass is the weight divided by gravity, so mass * gravity = weight), and because the block moves horizontally (rightward), θ is 0 degrees. The Cos of 0 degrees is 1.
So, the work done on the 20.0 N block as it moves 75.0 cm (or 0.75 meters, because 1 m = 100 cm) to the right is 20.0 N * 0.75 m * 1 = 15 Joules.
Learn more about Work Done here:
#SPJ12
Answers
Answer:
Step-by-step explanation:
5. 168h; days
6. 2.5lb; ounces
7. 200 cm; meters
8. 4 min; seconds
9. 5kg; pounds
Answers
Answer:
4- 189 feet
5- 7 days
6- 40 ounces
7- 2 meters
8- 240 seconds
9- 11 lbs
Step-by-step explanation:
c. region
b. volume
d. area
Answers
Answer:
D area
Step-by-step explanation:
Answers
Answer/Step-by-step explanation:
Problem 1:
E is the centroid of the triangle.
Centroid theorem states that the centroid is ⅔ of the distance of each vertex to the midpoint of the side opposite each vertex.
This implies that:
AE = ⅔(AD)
AE = 21
Therefore:
21 = ⅔(AD)
3*21 = 2(AD)
(3*21)/2 = AD
31.5 = AD
AD = 31.5
Problem 2: Apply the centroid theorem. Thus:
DE = ⅓(AD)
DE = 12
Therefore,
12 = ⅓(AD)
12*3 = AD
36 = AD
AD = 36
Answers
12 squared is 144 and 14 squared is 196
144 + 196 = 340