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horsena [70]
3 years ago
7

A garden in the shape of a trapezoid has an area of 44.4 square

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

37 meters

Step-by-step explanation:

The equation for the area of a trapezoid is A=\frac{a+b}{2} +h.

Here, a = 4.3, b=10.5, and h is unknown.

44.4=\frac{4.3+10.5}{2} +h

44.4=\frac{14.8}{2} +h

44.4=7.4 +h

37 = h

The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.

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!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
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