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Sonbull [250]
3 years ago
12

The area of a trapezoid is 18 square meters. One base is 3 meters long and the other is 6 meters long. Find the height of the tr

apezoid. Step 2 of 3 : Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s).
Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

height = 4 meters

h = 2A / ( a +  b )

Step-by-step explanation:

Let A represent the area of the trapezoid, h, the height a, the length of one base and b, the length of the other base

Area of a trapezoid, A = ( a + b)* h / 2

Now let's slot in the given values

A= 18 sq meters

a = 3 meters

b = 6 meters

we have;

18 = ( 3 + 6 ) * h /2

18 = 9 * h /2

Cross multiply

18*2 = 9h

36 = 9h

divide both sides by the coefficient of h (9)

4 = h

therefore, h = 4 meters

To solve for h without substituting

From A = ( a + b )* h /2

cross multiply

2*A = ( a + b )* h

divide both sides by ( a + b )

2A / ( a + b ) = h

therefore,

h = 2A / ( a +  b )

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Evaluate the expression for the given values.
Igoryamba

Answer:

a is 39

b is 57

Step-by-step explanation:

you were given two different expressions to substitute.

the first one is p = 8 and d = 1/7

so we substitute into 5p - 7d

that is 5(8) - 7(1/7)

we get 40 - 1

which if we go ahead to evaluate we get 39

The second one p = 3 and d = -6

so we get 5(3) - 7(-6)

we get 15 - (-42)

if we go ahead to evaluate we get 15 + 42

two negative meeting each other gives you positive.

then it going too be 57

7 0
2 years ago
Can anyone please help me with problems 1 to 7 I have to get it done
lisabon 2012 [21]
1. Between 2 and 3
2. Between 4 and 5
3.Between 5 and 6
4.Between 6 and 7
5. Between 5 and 6
6.Between 7 and 8.
7. The approximate length of each side is 8.36 cm(square root of 70 will get you this)
8 0
3 years ago
3. Study the numerical expression 7 x (9-3). Which one of the following expressions is equivalent to this numerical expression?
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First step is to do whatever is in the parentheses: 9-3.

Then you will multiply 7 by that number; which will give you the answer.

B is correct because it does it that way.

7 0
3 years ago
a mixture of medicine consists of three vitamins A,B and C and the total mixture is 40 milliliters, calculate how much of each v
tamaranim1 [39]

Answer:

Step-by-step explanation:

13 1/3 millimeters of each vitamin

why? 13 1/3 millimeters x 3 = 40 milimeters.

5 0
3 years ago
How many solutions does the system have?
kykrilka [37]

Answer: a

Infinitely many

Step-by-step explanation:

Solve by substitution:

1) Solve y=2x+1 for y:

y=2x+1

2) Substitute 2x+1 for y in -4x+2y=2:

-4x+2y=2

-4x+2(2x-1)=2

3) Simplify both sides of the equation:

2=2

4) Add -2 to both sides of the equation:

2+-2=2+-2

5) Simplify both sides of the equation:

0=0

Therefore, there are infinitely many solutions.

Solve by elimination:

You cannot solve this system by elimination

Solve by graphing:

The 2 equations are on top of each other, therefore, the system of equations has infinitely many solutions.

6 0
3 years ago
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