Answer:
1/3 x 3/4
Step-by-step explanation:
in this case, 3/4 is correct because it is 3 of 4 shaded.
hope this helps!
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1
36=2y
y=18
Therefore
(x,y)=(8,18)
Let X represent the length of the chord.
By using Pythagoras' Theorem:
4^2 + (X/2)^2 = 15^2
(X^2)/4 = 209
X^2 = 836
X = 28.91
Answer:
1. Option A
2. Option A
Step-by-step explanation:
1.
The independent variable is the one which affects the other variable. Here two variables "design of office space" and "control by managers" control the Productivity and well-being of the workers.
Hence, the independent variable is Control of the office manager
Option A
2. The dependent variable is the one which gets affected by the independent variable and in this case it is the Productivity and well-being of the workers.
Option A
Answer:
B. r + l = 45; 2r + 3l = 96
39 regular; 6 long-distance
Step-by-step explanation:
There were 45 baskets, so
(1) r + l = 45
There were 96 points in the game, so
(2) 2r + 3l = 96
Solve equation (1) for l
l = 45 – r Substitute the value for l in Equation (2)
2r + 3(45 – r) = 96 Remove parentheses
2r + 135 - 3r = 96 Combine like terms
-r + 135 = 96 Subtract 135 from each side
-r = -39 Multiply each side by -1
r = 39 Substitute the value of r in Equation (1)
39 + l = 45 Subtract 39 from each side
l = 6
===============
Check:
(1) 39 + 6 = 45
45 = 45
(2) 2×39 + 3×6 = 96
78 + 18 = 96
96 = 96
