♡ The Question ♡
・-2 (x + 7) = x -34 + 2x
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
* ♡ The Answer ♡
・x = 4
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
・-2 (x + 7) = x -34 + 2x
-2 (x + 7) = x + 2x - 34
-2 (x + 7) = 3x - 34
-2 (x + 7) : -2x - 14
-2 (x + 7)
Apply the distributive law! : a(b + c) = ab + ac
a = -2, b = x, c = 7
= -2 + (-2) x 7
Apply minus (-) plus rules!
+ (-a) = -a
= -2x - 2 x 7
Multiply the numbers! : 2 x 7 = 14
= -2x - 14
-2x - 14 = 3x - 34
Add 14 to both sides!
-2x - 14 + 14 = 3x - 34 + 14
Simplify!
-2x = 3x - 20
Subtract 3x from both sides!
-2x - 3x = 3x - 30 - 3x
Simplify!
-5x = -20
Divide both sides by -5!
-5x/-5 = -20/-5
Simplify! : -5x/-5 : x
Apply the fraction rule! : -a/-b = a/b
= 5x/5
Divide the numbers! : 5/5 = 1
= x
Simplify! : -20/-5 : 4
-20/-5
Apply the fraction rule! : -a/-b = a/b
= 20/5
Divide the numbers! 20/5 = 4
= 4
x = 4
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
*♡ Tips ♡
・No tips provided!
Answer:
7048/637
Step-by-step explanation:
10 8/13 + 4 24/49
138/13 + 220/49
taking LCM
(138*49 + 220*13) / (13*49)
7048 / 637
Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
so we can use the data given by the problem:
so we can solve this for R, so we get:
now we can substitute:
which yields:
R=10,244Lb
Answer:
A≈153.94cm²
Step-by-step explanation:
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·142≈153.93804cm²
Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
