Answer:
The correct answer is option D: 
Step-by-step explanation:
Given:
log(y)= 3.994
Solution:
A logarithm base b of a positive number x satisfies the following definition:
For 
Also if no base b is indicated, the base of the logarithm is assumed to be 10
.
Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10
now
Then
If you plug in the second equation (x=5-3/2y) into the first, you get:
5(5-3/2y) - 4y = 7
Simplify:
25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25
23/2 y = 18
y = 18 * 2/23 = 36/23
answer B!
Answer:
x = 20
y = 19
Step-by-step explanation:
(2x - 3)° + (3x - 7)° = 90° (complementary angles)
(2x - 3 + 3x - 7)° = 90°
(5x - 10)° = 90°
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
2y - 1 = 2x - 3 ( vertical angles)
2y = 2x - 3 + 1
2y = 2x - 2
2y = 2*20 - 2 (plug x = 20)
2y = 40 - 2
2y = 38
y = 38/2
y = 19
Answer:
104 ft^2
Step-by-step explanation:
area of rectangle = 8 × 10 = 80
area of triangle = 1/2 × 6 × 8 = 24
∴total area = 104 ft^2
