Answer:
The area of a circle = 314 sq. ft
Step-by-step explanation:
Given:
Radius = 10 ft
pi = 3.14
To Find:
The area of a circle = ?
Solution:
A = pi x r^2
A = 3.14 x (10)^2
A = 3.14 x 100
A = 314 sq. ft
Therefore,
The area of a circle = 314 sq. ft
PLEASE MARK ME AS BRAINLIEST!!!
Answer:
<h2>x = 3, y = 8</h2>
Step-by-step explanation:
We know:
The diagonals of the parallelogram are divided in half.
Therefore
EK ≅ KG and HK ≅ KF.
We have
EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5
Equations:
(1) 7x + 5 = 3x + 17
(2) 3y - 11 = y + 5
Solutions:
(1)
7x + 5 = 3x + 17 <em>subtract 5 from both sides</em>
7x + 5 - 5 = 3x + 17 - 5
7x = 3x + 12 <em>subtract 3x from both sides</em>
7x - 3x = 3x - 3x + 12
4x = 12 <em>divide both sides by 4</em>
4x/4 = 12/4
x = 3
------------------------------
(2)
3y - 11 = y + 5 <em>add 11 to both sides</em>
3y - 11 + 11 = y + 5 + 11
3y = y + 16 <em>subtract y from both sides</em>
3y - y = y - y + 16
2y = 16 <em>divide both sides by 2</em>
2y/2 = 16/2
y = 8
Step-by-step explanation:
Let x be the principal amount.
Simple Interest Formula:

where a = final amount
p = principal amount
r = annual interest rate
t = time taken in years.
given a = 3x, p = x, t = 25, substitute a,p and t into formula.

8%*
Answer: the number of minutes of local calls that you made is 644
the number of minutes of international calls that you made is 208
Step-by-step explanation:
Let x represent the number of minutes of local calls that you made.
Let y represent the number of minutes of international calls that you made.
It cost $.06 per local call and $0.15 per international call you are charged $69.84. This means that
0.06x + 0.15y = 69.84 - - - - - - - - 1
The total number of calls add up to 852 minutes. This means that
x + y = 852
Substituting x = 852 - y into equation 1, it becomes
0.06(852 - y) + 0.15y = 69.84
51.12 - 0.06y + 0.15y = 69.84
- 0.06y + 0.15y = 69.84 - 51.12
0.09y = 18.72
y = 18.72/0.09 = 208
x = 852 - y = 852 - 208
x = 644
Answer:
2 x 2 x 2 x 2 x 2 x 2 x 2 or 2 to the 7th power
Step-by-step explanation:
factorization tree :
128
/ \
2 64
/ \
2 32
/ \
2 16
/ \
2 8
/ \
2 4
/ \
2 2