The formula to find the volume is 1/2(l*w*h)
Height= 7.6
Width=9
Length=13
So, 1/2(7.6*9*13) and you will get the answer
No because if it is a square all the sides are 7m long so a 9m plank will not fit. Hope this helps.
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One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2 x² + 3 x + 1 ?
We get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).
Factor means that we have to split an expression into multiple values and make the power of the variable linear.
For a quadratic equation, there will be 2 factors.
We have the polynomial
2 x² + 3 x + 1
Using middle term splitting, we get that:
= 2 x² + 2 x + x + 1
Taking common factor:
= 2 x ( x + 1) + 1 (x + 1)
= (2 x + 1)( x + 1)
Therefore, we get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).
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Answer:
Point C is in the interior of angle ABD.
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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