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nataly862011 [7]
3 years ago
9

How can you use the formula for area of a parallelogram to determine the area of a trapezoid if you forgot the formula for area

of a trapezoid?
Mathematics
1 answer:
son4ous [18]3 years ago
3 0

You can put two identical trapezoids together to form a parallelogram with the same height as the trapezoid and a base length equal to the sum of the base lengths of the trapezoid. The area of the parallelogram is (b1 + b2)h, so the area of the trapezoid is one-half of this area.

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What is the smallest of three consecutive positive integers if the product of the smaller two integers is 10 more than 4 times t
r-ruslan [8.4K]
The smallest is 6
Three consecutive integers
X. Smallest 6
X+1. 7
X+2. Largest 8

X(X+1)= 4(X+2)+10
X^2+X= 4x+8+10
X^2+X-4x-18=0
X^2-3x-18=0

( X+3)(X-6)
X=-3. X=6
Don't use the negative

Check 6(7)= 4(8)+10
42=42
8 0
3 years ago
Can anyone answer this question please<br> 6[y-2]/7-12=2[y-7]/3
Kaylis [27]

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

8 0
2 years ago
Six times a number decreased by eight is less than five times the number
Svetlanka [38]

6n-8<5n  decreased means subtract

n-8<0

n<8

8 0
3 years ago
If the tax rate is 9.5%. determine how much tax you will need to pay on your order
7nadin3 [17]

Answer:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose the leader of a camping trip is putting together a trail mix
wel

Answer:

8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips

Step-by-step explanation:

Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.

Peanuts cost $2 per pound, then x pounds cost $2x.

Raisins cost $2.50 per pound, then y pounds cost $2.50y.

Chocolate chips cost $4 per pound, then y pounds cost $4y.

In total, x+y+y=20 and those 20 pounds cost

2x+2.50y+4y=20·2.75.

Solve the system of two equations:

\left \{ {{x+2y=20} \\ \\ \\ \\ \\ \\ \atop {2x+6.5y=55}} \right.

From the first equation:

x=20-2y

Substitute x into the second equation:

2(20-2y)+6.5y=55\\ \\40-4y+6.5y=55\\ \\2.5y=15\\ \\25y=150\\ \\y=6\\ \\x=20-2\cdot 6=8

8 0
3 years ago
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