Answer: 172 square centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a pentagon (A) = 1/2× 5s × a
Where:
s : side of the pentagon
a: apothem
Replacing with the values given and solving for A (area):
A =1/2 x (5 x10) x 6.88
A = 172 square centimeters.
Feel free to ask for more if needed or if you did not understand something.
Factor
(x-8)(x+3)
Check:
-8+3=-5
-8*3=-24
Use ZPP
x-8=0
x=8
x+3=0
x=-3
Final answer: x=-3, x=8
Answer:
Step-by-step explanation:
let y represent number of years...
9 ft tall = (12 * 9) = 108 inches
10 ft tall = (12 * 10) = 120 inches
Type A : 9 ft (or 108 inches) and grows 6 inches per year..
108 + 6y
Type B : 10 ft (or 120 inches) and grows 3 inches per yr
120 + 3y
how many years will it take them to be the same height...so when will they be equal....so set them equal and solve for y
108 + 6y = 120 + 3y
6y - 3y = 120 - 108
3y = 112
y = 112/3
y = 37 1/3 years....or 37 years and 4 months <====
check...
108 + 6(37 1/3) = 120 + 3(37 1/3)
108 + 6(112/3) = 120 + 3(112/3)
108 + 672/3 = 120 + 336/3
672/3 - 336/3 = 120 - 108
336/3 = 112
112 = 112 (correct)
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
For a moving object, the force acting on the object varies directly with the object's acceleration. Let F represent force and A represent acceleration, if we introduce a constant of variation, k, then the expression becomes
F = kA
When a force of 72 N acts on a certain object, the acceleration of the object is 8 m/s^2. This means that
72 = 8k
k = 72/8 = 9
The equation becomes
F = 9A
If the acceleration of the object becomes 10 m/s^2, then the force would be
F = 9 × 10
F = 90N
Answer:
Step-by-step explanation:
It is representing a combination form where, n is number of items we have and r is the number of items we choose from n
Here, n = 6 , r = 2
=
Thus,
