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Vera_Pavlovna [14]
4 years ago
12

What is the area of a parallelogram with a base of 8 m and a height of 6 m?

Mathematics
1 answer:
shtirl [24]4 years ago
4 0

Answer:

48 square m

Step-by-step explanation:

The area of a parallelogram is simply b * h, where b is base and h is height. In this case, b = 8 and h = 6. So:

A = bh = 8 * 6 = 48 square m

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Ryan bought 6 apples and 9 peaches for a total of $7.86. Madi bought 4 apples and 5 peaches for $4.82.
sergey [27]
Let's call:
a = price of 1 apple
p = price of 1 peach

The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
\left \{ {{6a + 9p = 7.86} \atop {4a + 5p = 4.82}} \right.

Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4

Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42

Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
   = 0.68

Therefore, one apple costs 0.68$ and one peach costs 0.42$.
6 0
3 years ago
Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t i
Lorico [155]

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

-16t^2+81 The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

-16t^2 then divide both sides by -16:

t^2>4 Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

6 0
3 years ago
Read 2 more answers
Item 15
Elenna [48]

Answer:

d

Step-by-step explanation:

i read though actually easy

7 0
3 years ago
What fraction of a dollar would this represent in lowest terms
Elza [17]
I think 1/4 is the answer
3 0
3 years ago
Read 2 more answers
3456 ÷ 42<br><br>(show your work)​
saul85 [17]

Answer:

82 with a remainder of 12.

6 0
3 years ago
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