Answer:
2inch^2 is our area overlap
Step-by-step explanation:
2 inch base 2 inch width when crossed shows us symmetrical line on the parallel, which gives us our height of 1 inch as one inch equilateral triangle is formed each side of the symmetrical line.
Formula for Area is bh
Area = 1 x 2 = 2inch^2
Answer:
The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.
Step-by-step explanation:
The correlation coefficient r between this two variables is found to be 0.78.
This coefficient can be calculated as:

where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.
Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.
The number was 4,654. Hope I helped! Please rate me the brainliest!!!
Answer: d + 0.055d or 1.055d
Step-by-step explanation:
Cost of item = d
Sales tax percent = 5.5%
Total cost = Cost of item + Sales tax
= d + (5.5% × d)
= d + (5.5/100 × d)
= d + (0.055 × d)
= d + 0.055d
= 1.055d
Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:
d + 0.055d or 1.055d.
Answer:
x=2/9,y=26/9
Step-by-step explanation:
This is a simultaneous equation
16x+5y=-2..(1)
4x-y=-2...(2)
From (2) make y the subject of formula
y=4x+2..(3)
Substitute (3) into (1)
16x+5(4x+2)=-2
16x+20x+10=-2
36x-10=-2
Add 10 to both sides
36x=8
Divide both sides by 36
x=8/36
Divide both denominator and numerator by 4
x=2/9
Substitute the value x into (3)
y=4(2/9)+2
y=8/9+2
Let the LCM be 9
y=8+18/9
y=26/9
Therefore x=2/9,y=26/9