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melisa1 [442]
3 years ago
12

The area of a triangle A is given as A =1/2 bh, where b is the base an h = height. (a) find h if A =30 and b=10

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = \frac{1(10)h}{2}

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = \frac{1(10)(6)}{2}

A = 30 !

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Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

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3 years ago
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than
evablogger [386]
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Answer:

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Step-by-step explanation:

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